-
1
-
-
0000430358
-
The Euler characteristic of the moduli space of curves
-
J. Harer and D. Zagier, 1986 The Euler characteristic of the moduli space of curves, Invent. Math. 85 457
-
(1986)
Invent. Math.
, vol.85
, pp. 457
-
-
Harer, J.1
Zagier, D.2
-
2
-
-
0000333790
-
Matrix integration and combinatorics of modular groups
-
C. Itzykson and J.B. Zuber, 1990 Matrix integration and combinatorics of modular groups, Commun. Math. Phys. 134 197
-
(1990)
Commun. Math. Phys.
, vol.134
, pp. 197
-
-
Itzykson, C.1
Zuber, J.B.2
-
3
-
-
0041869059
-
Demonstration combinatoire de la formule de Harer-Zagier
-
B. Lass, 2001 Demonstration combinatoire de la formule de Harer-Zagier C. R. Acad. Sci. Paris, Ser. I 333 155
-
(2001)
C. R. Acad. Sci. Paris, Ser.
, vol.333
, pp. 155
-
-
Lass, B.1
-
5
-
-
22644448070
-
A direct bijection for the Harer-Zagier formula
-
I.P. Goulden and A. Nica, 2005 A direct bijection for the Harer-Zagier formula, J. Comb. Theory A 111 224
-
(2005)
J. Comb. Theory A
, vol.111
, pp. 224
-
-
Goulden, I.P.1
Nica, A.2
-
7
-
-
7244240605
-
Partition functions of matrix models as the first special functions of string theory. I: Finite size Hermitean 1-matrix model
-
[hep-th/0310113]
-
A.S. Alexandrov, A. Mironov and A. Morozov, 2004 Partition functions of matrix models as the first special functions of string theory. I: Finite size Hermitean 1-matrix model, Int. J. Mod. Phys. A 19 4127 [hep-th/0310113]
-
(2004)
Int. J. Mod. Phys. A
, vol.19
, pp. 4127
-
-
Alexandrov, A.S.1
Mironov, A.2
Morozov, A.3
-
9
-
-
23044497283
-
Planar diagrams
-
E. Brézin, C. Itzykson, G. Parisi and J.B. Zuber, 1978 Planar diagrams, Commun. Math. Phys. 59 35
-
(1978)
Commun. Math. Phys.
, vol.59
, pp. 35
-
-
E. Brézin1
-
10
-
-
33646859849
-
Quantum field theory techniques in graphical enumeration
-
D.Bessis, C.Itzykson and J.-B.Zuber, 1980 Quantum field theory techniques in graphical enumeration, Adv. Appl. Math. 1 109
-
(1980)
Adv. Appl. Math.
, vol.1
, pp. 109
-
-
Bessis, D.1
Itzykson, C.2
Zuber, J.-B.3
-
11
-
-
0041958415
-
A method of integration over matrix variables
-
M.L. Mehta, 1981 A method of integration over matrix variables, Commun. Math. Phys. 79 327
-
(1981)
Commun. Math. Phys.
, vol.79
, pp. 327
-
-
Mehta, M.L.1
-
12
-
-
0004163930
-
-
2nd edition, New York Academic Press, New York, U.S.A.
-
Random matrices, 2nd edition, New York Academic Press, New York, U.S.A. 1991
-
(1991)
Random Matrices
-
-
-
13
-
-
0000276487
-
Matrix model calculations beyond the spherical limit
-
J. Ambjørn, L. Chekhov, C.F. Kristjansen and Y. Makeenko, 1993 Matrix model calculations beyond the spherical limit, Nucl. Phys. B 404 127 [Erratum ibid B 449 (1995) 681] [hep-th/9302014]
-
(1993)
Nucl. Phys. B
, vol.404
, pp. 127
-
-
J. Ambjørn1
-
15
-
-
0030592668
-
Hermitian matrix model with plaquette interaction
-
[hep-th/9605013]
-
L. Chekhov and C. Kristjansen, 1996 Hermitian matrix model with plaquette interaction, Nucl. Phys. B 479 683 [hep-th/9605013]
-
(1996)
Nucl. Phys. B
, vol.479
, pp. 683
-
-
Chekhov, L.1
Kristjansen, C.2
-
16
-
-
0031258947
-
Matrix integrals and map enumeration: An accessible introduction
-
Marseilles, France
-
A. Zvonkin, 1995 Matrix integrals and map enumeration: an accessible introduction, Combinatorics and Physics, Marseilles, France, Math. Comput. Model. 26 1997 281
-
(1995)
Math. Comput. Model.
, vol.26
, pp. 281
-
-
Zvonkin, A.1
-
17
-
-
0039165794
-
Random matrix theories in quantum physics: Common concepts
-
[cond-mat/9707301]
-
T. Guhr, A. Müller-Groeling and H.A. Weidenmuller, 1998 Random matrix theories in quantum physics: Common concepts, Phys. Rept. 299 189 [cond-mat/9707301]
-
(1998)
Phys. Rept.
, vol.299
, pp. 189
-
-
T. Guhr1
-
23
-
-
35048872465
-
Instantons and merons in matrix models
-
[hep-th/0608228]
-
A.S. Alexandrov, A. Mironov and A. Morozov, 2007 Instantons and merons in matrix models, Physica D 235 126 [hep-th/0608228]
-
(2007)
Physica
, vol.235
, pp. 126
-
-
Alexandrov, A.S.1
Mironov, A.2
Morozov, A.3
-
25
-
-
0001677832
-
A new method in the combinatorics of the topological expansion
-
D. Bessis, 1979 A new method in the combinatorics of the topological expansion, Commun. Math. Phys. 69 147
-
(1979)
Commun. Math. Phys.
, vol.69
, pp. 147
-
-
Bessis, D.1
-
26
-
-
0005776731
-
Loop equations and 1/N expansion
-
A.A. Migdal, 1983 Loop equations and 1/N expansion, Phys. Rept. 102 199
-
(1983)
Phys. Rept.
, vol.102
, pp. 199
-
-
Migdal, A.A.1
-
27
-
-
0000531459
-
Continuum versus discrete Virasoro in one matrix models
-
Y. Makeenko, A. Marshakov, A. Mironov and A. Morozov, 1991 Continuum versus discrete Virasoro in one matrix models, Nucl. Phys. B 356 574
-
(1991)
Nucl. Phys. B
, vol.356
, pp. 574
-
-
Makeenko, Y.1
Marshakov, A.2
Mironov, A.3
Morozov, A.4
-
28
-
-
4243442620
-
From 1 matrix model to Kontsevich model
-
J. Ambjørn and C.F. Kristjansen, 1993 From 1 matrix model to Kontsevich model, Mod. Phys. Lett. A 8 2875 [hep-th/9307063]
-
(1993)
Mod. Phys. Lett. A
, vol.8
, pp. 2875
-
-
J. Ambjørn1
-
29
-
-
23044451814
-
Master loop equations, free energy and correlations for the chain of matrices
-
[hep-th/0309036]
-
B. Eynard, 2003 Master loop equations, free energy and correlations for the chain of matrices J. High Energy Phys. JHEP11(2003)018 [hep-th/0309036]
-
(2003)
J. High Energy Phys. JHEP
, vol.11
, pp. 018
-
-
Eynard, B.1
-
30
-
-
0041552593
-
Large-N expansion of the 2-matrix model
-
[hep-th/0210047]
-
B. Eynard, 2003 Large-N expansion of the 2-matrix model J. High Energy Phys. JHEP01(2003)051 [hep-th/0210047]
-
(2003)
J. High Energy Phys. JHEP
, vol.1
, pp. 051
-
-
Eynard, B.1
-
31
-
-
84857079487
-
Topological expansion for the 1-hermitian matrix model correlation functions
-
2004 [hep-th/0407261]
-
Topological expansion for the 1-hermitian matrix model correlation functions J. High Energy Phys. JHEP11(2004)031 2004 [hep-th/0407261]
-
(2004)
J. High Energy Phys. JHEP
, vol.11
, pp. 031
-
-
-
32
-
-
33645528923
-
Topological expansion of the 2-matrix model correlation functions: Diagrammatic rules for a residue formula
-
[math-ph/0504058]
-
B. Eynard and N. Orantin, 2005 Topological expansion of the 2-matrix model correlation functions: Diagrammatic rules for a residue formula J. High Energy Phys. JHEP12(2005)034 [math-ph/0504058]
-
(2005)
J. High Energy Phys. JHEP
, vol.12
, pp. 034
-
-
Eynard, B.1
Orantin, N.2
-
33
-
-
33645658374
-
Hermitean matrix model free energy: Feynman graph technique for all genera
-
[hep-th/0504116]
-
L. Chekhov and B. Eynard, 2006 Hermitean matrix model free energy: Feynman graph technique for all genera J. High Energy Phys. JHEP03(2006)014 [hep-th/0504116]
-
(2006)
J. High Energy Phys. JHEP
, vol.3
, pp. 014
-
-
Chekhov, L.1
Eynard, B.2
-
34
-
-
33846138678
-
Matrix eigenvalue model: Feynman graph technique for all genera
-
[math-ph/0604014]
-
L. Chekhov and B. Eynard, 2006 Matrix eigenvalue model: Feynman graph technique for all genera J. High Energy Phys. JHEP12(2006)026 [math-ph/0604014]
-
(2006)
J. High Energy Phys. JHEP
, vol.12
, pp. 026
-
-
Chekhov, L.1
Eynard, B.2
-
35
-
-
84956226273
-
Integrability and matrix models
-
[hep-th/9303139]
-
A. Morozov, 1994 Integrability and matrix models, Phys. Usp. 37 1 [hep-th/9303139]
-
(1994)
Phys. Usp.
, vol.37
, Issue.1
, pp. 1
-
-
Morozov, A.1
-
37
-
-
31044455854
-
Matrix models vs. matrix integrals
-
[hep-th/0506158]
-
A. Mironov, 2006 Matrix models vs. matrix integrals, Theor. Math. Phys. 146 63 [hep-th/0506158]
-
(2006)
Theor. Math. Phys.
, vol.146
, pp. 63
-
-
Mironov, A.1
-
39
-
-
0041814806
-
A model of random surfaces with nontrivial critical behavior
-
F.David, 1985 A model of random surfaces with nontrivial critical behavior, Nucl. Phys. B 257 45
-
(1985)
Nucl. Phys. B
, vol.257
, pp. 45
-
-
David, F.1
-
40
-
-
0041814864
-
Diseases of triangulated random surface models and possible cures
-
J. Ambjørn, B. Durhuus and J. Fröhlich, 1985 Diseases of triangulated random surface models and possible cures, Nucl. Phys. B 257 433
-
(1985)
Nucl. Phys. B
, vol.257
, pp. 433
-
-
J. Ambjørn1
-
41
-
-
0000533445
-
Critical properties of randomly triangulated planar random surfaces
-
V.A. Kazakov, A.A. Migdal and I.K. Kostov, 1985 Critical properties of randomly triangulated planar random surfaces, Phys. Lett. B 157 295
-
(1985)
Phys. Lett. B
, vol.157
, pp. 295
-
-
Kazakov, V.A.1
Migdal, A.A.2
Kostov, I.K.3
-
42
-
-
0002476063
-
Possible types of critical behavior and the mean size of dynamically triangulated random surfaces
-
D.V. Boulatov, V.A. Kazakov, A.A. Migdal and I.K. Kostov, 1986 Possible types of critical behavior and the mean size of dynamically triangulated random surfaces, Phys. Lett. B 174 87
-
(1986)
Phys. Lett. B
, vol.174
, pp. 87
-
-
Boulatov, D.V.1
Kazakov, V.A.2
Migdal, A.A.3
Kostov, I.K.4
-
43
-
-
0010886503
-
Analytical and numerical study of the model of dynamically triangulated random surfaces
-
D.V. Boulatov, V.A. Kazakov, I.K. Kostov and A.A. Migdal, 1986 Analytical and numerical study of the model of dynamically triangulated random surfaces, Nucl. Phys. B 275 641
-
(1986)
Nucl. Phys. B
, vol.275
, pp. 641
-
-
Boulatov, D.V.1
Kazakov, V.A.2
Kostov, I.K.3
Migdal, A.A.4
-
46
-
-
0001378598
-
The appearance of matter fields from quantum fluctuations of 2D gravity
-
V.A. Kazakov, 1989 The appearance of matter fields from quantum fluctuations of 2D gravity, Mod. Phys. Lett. A 4 2125
-
(1989)
Mod. Phys. Lett. A
, vol.4
, pp. 2125
-
-
Kazakov, V.A.1
-
47
-
-
0000750828
-
Exactly solvable field theories of closed strings
-
E. Brézin and V.A. Kazakov, 1990 Exactly solvable field theories of closed strings, Phys. Lett. B 236 144
-
(1990)
Phys. Lett. B
, vol.236
, pp. 144
-
-
E. Brézin1
-
48
-
-
0042052641
-
A nonperturbative treatment of two-dimensional quantum gravity
-
D.J. Gross and A.A. Migdal, 1990 A nonperturbative treatment of two-dimensional quantum gravity, Nucl. Phys. B 340 333
-
(1990)
Nucl. Phys. B
, vol.340
, pp. 333
-
-
Gross, D.J.1
Migdal, A.A.2
-
49
-
-
0000521092
-
On the foundations of the random lattice approach to quantum gravity
-
A. Levin and A. Morozov, 1990 On the foundations of the random lattice approach to quantum gravity, Phys. Lett. B 243 207
-
(1990)
Phys. Lett. B
, vol.243
, pp. 207
-
-
Levin, A.1
Morozov, A.2
-
50
-
-
0000920975
-
Multiloop correlators for two-dimensional quantum gravity
-
J. Ambjørn, J. Jurkiewicz and Y.M. Makeenko, 1990 Multiloop correlators for two-dimensional quantum gravity, Phys. Lett. B 251 517
-
(1990)
Phys. Lett. B
, vol.251
, pp. 517
-
-
J. Ambjørn1
-
52
-
-
0002737599
-
Generalized matrix models as conformal field theories: Discrete case
-
A. Marshakov, A. Mironov and A. Morozov, 1991 Generalized matrix models as conformal field theories: Discrete case, Phys. Lett. B 265 99
-
(1991)
Phys. Lett. B
, vol.265
, pp. 99
-
-
Marshakov, A.1
Mironov, A.2
Morozov, A.3
-
53
-
-
44949231939
-
Nonperturbative 2-D quantum gravity and Hamiltonians unbounded from below
-
[hep-th/9205073]
-
J. Ambjørn and C.F. Kristjansen, 1993 Nonperturbative 2-D quantum gravity and Hamiltonians unbounded from below, Int. J. Mod. Phys. A 8 1259 [hep-th/9205073]
-
(1993)
Int. J. Mod. Phys. A
, vol.8
, pp. 1259
-
-
J. Ambjørn1
-
57
-
-
0009243741
-
On the structure of the topological phase of two-dimensional gravity
-
E. Witten, 1990 On the structure of the topological phase of two-dimensional gravity, Nucl. Phys. B 340 281
-
(1990)
Nucl. Phys. B
, vol.340
, pp. 281
-
-
Witten, E.1
-
58
-
-
0000910190
-
Two-dimensional gravity and intersection theory on moduli space
-
E. Witten, 1991 Two-dimensional gravity and intersection theory on moduli space Surveys Diff. Geom. 1 243
-
(1991)
Surveys Diff. Geom.
, vol.1
, pp. 243
-
-
Witten, E.1
-
60
-
-
19644388879
-
Intersection theory on the moduli space of curves
-
M. Kontsevich, 1991 Intersection theory on the moduli space of curves Funk. Anal. Prilozh. 25 50
-
(1991)
Funk. Anal. Prilozh.
, vol.25
, pp. 50
-
-
Kontsevich, M.1
-
61
-
-
0001792752
-
Intersection theory on the moduli space of curves and the matrix Airy function
-
M. Kontsevich, 1992 Intersection theory on the moduli space of curves and the matrix Airy function, Commun. Math. Phys. 147 1
-
(1992)
Commun. Math. Phys.
, vol.147
, pp. 1
-
-
Kontsevich, M.1
-
62
-
-
0010963690
-
On equivalence of topological and quantum 2-D gravity
-
[hep-th/9201011]
-
A. Marshakov, A. Mironov and A. Morozov, 1992 On equivalence of topological and quantum 2-D gravity, Phys. Lett. B 274 280 [hep-th/9201011]
-
(1992)
Phys. Lett. B
, vol.274
, pp. 280
-
-
Marshakov, A.1
Mironov, A.2
Morozov, A.3
-
63
-
-
0000658094
-
Unification of all string models with C < 1
-
[hep-th/9111037]
-
S. Kharchev, A. Marshakov, A. Mironov, A. Morozov and A. Zabrodin, 1992 Unification of all string models with C < 1, Phys. Lett. B 275 311 [hep-th/9111037]
-
(1992)
Phys. Lett. B
, vol.275
, pp. 311
-
-
Kharchev, S.1
Marshakov, A.2
Mironov, A.3
Morozov, A.4
Zabrodin, A.5
-
64
-
-
0347162164
-
Towards unified theory of 2-D gravity
-
[hep-th/9201013]
-
S. Kharchev, A. Marshakov, A. Mironov, A. Morozov and A. Zabrodin, 1992 Towards unified theory of 2-D gravity, Nucl. Phys. B 380 181 [hep-th/9201013]
-
(1992)
Nucl. Phys. B
, vol.380
, pp. 181
-
-
Kharchev, S.1
Marshakov, A.2
Mironov, A.3
Morozov, A.4
Zabrodin, A.5
-
65
-
-
0002960352
-
A Matrix integral solution to two-dimensional W(p) gravity
-
M. Adler and P. van Moerbeke, 1992 A Matrix integral solution to two-dimensional W(p) gravity, Commun. Math. Phys. 147 25
-
(1992)
Commun. Math. Phys.
, vol.147
, pp. 25
-
-
Adler, M.1
Van Moerbeke, P.2
-
67
-
-
0001564216
-
Landau-Ginzburg topological theories in the framework of GKM and equivalent hierarchies
-
[hep-th/9208046]
-
S.Kharchev, A.Marshakov, A.Mironov and A.Morozov, 1993 Landau-Ginzburg topological theories in the framework of GKM and equivalent hierarchies, Mod. Phys. Lett. A 8 1047 [hep-th/9208046]
-
(1993)
Mod. Phys. Lett. A
, vol.8
, pp. 1047
-
-
Kharchev, S.1
Marshakov, A.2
Mironov, A.3
Morozov, A.4
-
68
-
-
33748136086
-
-
[1993 Teor. Mat. Fiz. 95 280]
-
S.Kharchev, A.Marshakov, A.Mironov and A.Morozov, 1993 Theor. Math. Phys. 95 571 [1993 Teor. Mat. Fiz. 95 280]
-
(1993)
Theor. Math. Phys.
, vol.95
, Issue.2
, pp. 571
-
-
Kharchev, S.1
Marshakov, A.2
Mironov, A.3
Morozov, A.4
-
69
-
-
0001386210
-
Generalized Kontsevich model versus Toda hierarchy and discrete matrix models
-
[hep-th/9203043]
-
S.Kharchev, A.Marshakov, A.Mironov and A.Morozov, 1993 Generalized Kontsevich model versus Toda hierarchy and discrete matrix models, Nucl. Phys. B 397 339 [hep-th/9203043]
-
(1993)
Nucl. Phys. B
, vol.397
, pp. 339
-
-
Kharchev, S.1
Marshakov, A.2
Mironov, A.3
Morozov, A.4
-
70
-
-
0000882171
-
Generalized Kazakov-Migdal-Kontsevich model: Group theory aspects
-
[hep-th/9312210]
-
Generalized Kazakov-Migdal-Kontsevich model: Group theory aspects, Int. J. Mod. Phys. A 10 1995 2015 [hep-th/9312210]
-
(1995)
Int. J. Mod. Phys. A
, vol.10
, pp. 2015
-
-
-
71
-
-
0000381281
-
Unitary matrix integrals in the framework of generalized Kontsevich model. 1. Brezin-Gross-Witten model
-
[hep-th/9404005]
-
A. Mironov, A. Morozov and G.W. Semenoff, 1996 Unitary matrix integrals in the framework of generalized Kontsevich model. 1. Brezin-Gross-Witten model, Int. J. Mod. Phys. A 11 5031 [hep-th/9404005]
-
(1996)
Int. J. Mod. Phys. A
, vol.11
, pp. 5031
-
-
Mironov, A.1
Morozov, A.2
Semenoff, G.W.3
-
72
-
-
70449096041
-
Partition functions of matrix models as the first special functions of string theory. II. Kontsevich Model
-
[0811.2825]
-
A.S. Alexandrov, A. Mironov, A. Morozov and P. Putrov, 2009 Partition functions of matrix models as the first special functions of string theory. II. Kontsevich Model, Int. J. Mod. Phys. A 24 4939 [0811.2825]
-
(2009)
Int. J. Mod. Phys. A
, vol.24
, pp. 4939
-
-
Alexandrov, A.S.1
Mironov, A.2
Morozov, A.3
Putrov, P.4
-
75
-
-
0035534429
-
Superstrings and topological strings at large-N
-
[hep-th/0008142]
-
C. Vafa, 2001 Superstrings and topological strings at large-N, J. Math. Phys. 42 2798 [hep-th/0008142]
-
(2001)
J. Math. Phys.
, vol.42
, pp. 2798
-
-
Vafa, C.1
-
76
-
-
28144452143
-
Topological strings and integrable hierarchies
-
[hep-th/0312085]
-
M. Aganagic, R. Dijkgraaf, A. Klemm, M. Marĩo and C. Vafa, 2006 Topological strings and integrable hierarchies, Commun. Math. Phys. 261 451 [hep-th/0312085]
-
(2006)
Commun. Math. Phys.
, vol.261
, pp. 451
-
-
M. Aganagic1
-
77
-
-
23044433257
-
Two-dimensional unoriented strings and matrix models
-
[hep-th/0310195]
-
J. Gomis and A. Kapustin, 2004 Two-dimensional unoriented strings and matrix models J. High Energy Phys. JHEP06(2004)002 [hep-th/0310195]
-
(2004)
J. High Energy Phys. JHEP
, vol.6
, pp. 002
-
-
Gomis, J.1
Kapustin, A.2
-
78
-
-
21444444799
-
Gauge theory, topological strings and S-duality
-
[hep-th/0404041]
-
A. Kapustin, 2004 Gauge theory, topological strings and S-duality J. High Energy Phys. JHEP09(2004)034 [hep-th/0404041]
-
(2004)
J. High Energy Phys. JHEP
, vol.9
, pp. 034
-
-
Kapustin, A.1
-
79
-
-
13244294486
-
Topological strings on noncommutative manifolds
-
[hep-th/0310057]
-
A. Kapustin, 2004 Topological strings on noncommutative manifolds, Int. J. Geom. Meth. Mod. Phys. 1 49 [hep-th/0310057]
-
(2004)
Int. J. Geom. Meth. Mod. Phys.
, vol.1
, pp. 49
-
-
Kapustin, A.1
-
80
-
-
11244262540
-
On the relation between open and closed topological strings
-
[hep-th/0405232]
-
A. Kapustin and L. Rozansky, 2004 On the relation between open and closed topological strings, Commun. Math. Phys. 252 393 [hep-th/0405232]
-
(2004)
Commun. Math. Phys.
, vol.252
, pp. 393
-
-
Kapustin, A.1
Rozansky, L.2
-
81
-
-
22144437367
-
Matrix models, 4 D black holes and topological strings on non-compact Calabi-Yau manifolds
-
[hep-th/0410141]
-
U.H. Danielsson, M.E. Olsson and M. Vonk, 2004 Matrix models, 4 D black holes and topological strings on non-compact Calabi-Yau manifolds J. High Energy Phys. JHEP11(2004)007 [hep-th/0410141]
-
(2004)
J. High Energy Phys. JHEP
, vol.11
, pp. 007
-
-
Danielsson, U.H.1
Olsson, M.E.2
Vonk, M.3
-
84
-
-
13244277682
-
The topological vertex
-
[hep-th/0305132]
-
M. Aganagic, A. Klemm, M. Marĩo and C. Vafa, 2005 The topological vertex, Commun. Math. Phys. 254 425 [hep-th/0305132]
-
(2005)
Commun. Math. Phys.
, vol.254
, pp. 425
-
-
M. Aganagic1
-
86
-
-
84957315297
-
String theory, what is it?
-
A.Morozov, 1992 String theory, what is it? Sov. Phys. Usp. 35 671
-
(1992)
Sov. Phys. Usp.
, vol.35
, Issue.8
, pp. 671
-
-
Morozov, A.1
-
88
-
-
0000578823
-
Multiband structure and critical behavior of matrix models
-
K. Demeterfi, N. Deo, S. Jain and C.-I. Tan, 1990 Multiband structure and critical behavior of matrix models, Phys. Rev. D 42 4105
-
(1990)
Phys. Rev. D
, vol.42
, pp. 4105
-
-
Demeterfi, K.1
Deo, N.2
Jain, S.3
Tan, C.-I.4
-
89
-
-
0003049143
-
Regularization of the one matrix models
-
J. Jurkiewicz, 1990 Regularization of the one matrix models, Phys. Lett. B 245 178
-
(1990)
Phys. Lett. B
, vol.245
, pp. 178
-
-
Jurkiewicz, J.1
-
90
-
-
0000251090
-
Multicritical multicut matrix models
-
C. Crnkovic and G.W. Moore, 1991 Multicritical multicut matrix models, Phys. Lett. B 257 322
-
(1991)
Phys. Lett. B
, vol.257
, pp. 322
-
-
Crnkovic, C.1
Moore, G.W.2
-
91
-
-
0030597263
-
New universal spectral correlators
-
[cond-mat/9606129]
-
J. Ambjørn and G. Akemann, 1996 New universal spectral correlators, J. Phys. A 29 L555 [cond-mat/9606129]
-
(1996)
J. Phys. A
, vol.29
, Issue.22
, pp. 555
-
-
J. Ambjørn1
-
92
-
-
0030599617
-
Higher genus correlators for the Hermitian matrix model with multiple cuts
-
[hep-th/9606004]
-
G. Akemann, 1996 Higher genus correlators for the Hermitian matrix model with multiple cuts, Nucl. Phys. B 482 403 [hep-th/9606004]
-
(1996)
Nucl. Phys. B
, vol.482
, pp. 403
-
-
Akemann, G.1
-
93
-
-
0037064465
-
Matrix models, topological strings and supersymmetric gauge theories
-
[hep-th/0206255]
-
R. Dijkgraaf and C. Vafa, 2002 Matrix models, topological strings and supersymmetric gauge theories, Nucl. Phys. B 644 3 [hep-th/0206255]
-
(2002)
Nucl. Phys. B
, vol.644
, pp. 3
-
-
Dijkgraaf, R.1
Vafa, C.2
-
94
-
-
0037064452
-
On geometry and matrix models
-
[hep-th/0207106]
-
R. Dijkgraaf and C. Vafa, 2002 On geometry and matrix models, Nucl. Phys. B 644 21 [hep-th/0207106]
-
(2002)
Nucl. Phys. B
, vol.644
, pp. 21
-
-
Dijkgraaf, R.1
Vafa, C.2
-
96
-
-
0037461665
-
Matrix models vs. Seiberg-Witten/Whitham theories
-
[hep-th/0209085]
-
L. Chekhov and A. Mironov, 2003 Matrix models vs. Seiberg-Witten/Whitham theories, Phys. Lett. B 552 293 [hep-th/0209085]
-
(2003)
Phys. Lett. B
, vol.552
, pp. 293
-
-
Chekhov, L.1
Mironov, A.2
-
97
-
-
0141545011
-
Perturbative analysis of gauged matrix models
-
[hep-th/0210238]
-
R. Dijkgraaf, S. Gukov, V.A. Kazakov and C. Vafa, 2003 Perturbative analysis of gauged matrix models, Phys. Rev. D 68 045007 [hep-th/0210238]
-
(2003)
Phys. Rev. D
, vol.68
, pp. 045007
-
-
Dijkgraaf, R.1
Gukov, S.2
Kazakov, V.A.3
Vafa, C.4
-
98
-
-
0037471307
-
Complex curve of the two matrix model and its tau- function
-
[hep-th/0211236]
-
V.A. Kazakov and A. Marshakov, 2003 Complex curve of the two matrix model and its tau- function, J. Phys. A 36 3107 [hep-th/0211236]
-
(2003)
J. Phys. A
, vol.36
, Issue.12
, pp. 3107
-
-
Kazakov, V.A.1
Marshakov, A.2
-
99
-
-
0037420749
-
The Dijkgraaf-Vafa prepotential in the context of general Seiberg-Witten theory
-
[hep-th/0211245]
-
H. Itoyama and A. Morozov, 2003 The Dijkgraaf-Vafa prepotential in the context of general Seiberg-Witten theory, Nucl. Phys. B 657 53 [hep-th/0211245]
-
(2003)
Nucl. Phys. B
, vol.657
, pp. 53
-
-
Itoyama, H.1
Morozov, A.2
-
100
-
-
0037421766
-
Experiments with the WDVV equations for the gluino- condensate prepotential: The cubic (two-cut) case
-
[hep-th/0211259]
-
H. Itoyama and A. Morozov, 2003 Experiments with the WDVV equations for the gluino- condensate prepotential: The cubic (two-cut) case, Phys. Lett. B 555 287 [hep-th/0211259]
-
(2003)
Phys. Lett. B
, vol.555
, pp. 287
-
-
Itoyama, H.1
Morozov, A.2
-
101
-
-
0038692033
-
Calculating gluino condensate prepotential
-
[hep-th/0212032]
-
Calculating gluino condensate prepotential, Prog. Theor. Phys. 109 2003 433 [hep-th/0212032]
-
(2003)
Prog. Theor. Phys.
, vol.109
, pp. 433
-
-
-
102
-
-
1242291956
-
Gluino-condensate (CIV-DV) prepotential from its Whitham- time derivatives
-
[hep-th/0301136]
-
Gluino-condensate (CIV-DV) prepotential from its Whitham- time derivatives, Int. J. Mod. Phys. A 18 2003 5889 [hep-th/0301136]
-
(2003)
Int. J. Mod. Phys. A
, vol.18
, pp. 5889
-
-
-
103
-
-
23044446629
-
Matrix model approach to the N=2 U(N) gauge theory with matter in the fundamental representation
-
[hep-th/0211254]
-
S.G. Naculich, H.J. Schnitzer and N. Wyllard, 2003 Matrix model approach to the N=2 U(N) gauge theory with matter in the fundamental representation J. High Energy Phys. JHEP01(2003)015 [hep-th/0211254]
-
(2003)
J. High Energy Phys. JHEP
, vol.1
, pp. 015
-
-
Naculich, S.G.1
Schnitzer, H.J.2
Wyllard, N.3
-
104
-
-
1242273142
-
Geometric dual and matrix theory for SO/Sp gauge theories
-
B. Feng, 2003 Geometric dual and matrix theory for SO/Sp gauge theories, Nucl. Phys. B 661 113 [hep-th/0212010]
-
(2003)
Nucl. Phys. B
, vol.661
, pp. 113
-
-
Feng, B.1
-
105
-
-
0038441825
-
Generalized Yukawa couplings and matrix models
-
[hep-th/0212083]
-
I. Bena, S. de Haro and R. Roiban, 2003 Generalized Yukawa couplings and matrix models, Nucl. Phys. B 664 45 [hep-th/0212083]
-
(2003)
Nucl. Phys. B
, vol.664
, pp. 45
-
-
Bena, I.1
De Haro, S.2
Roiban, R.3
-
106
-
-
0038410123
-
Supersymmetric SO(N)/Sp(N) gauge theory from matrix model: Exact mesonic vacua
-
[hep-th/0301011]
-
C.-h. Ahn, 2003 Supersymmetric SO(N)/Sp(N) gauge theory from matrix model: Exact mesonic vacua, Phys. Lett. B 560 116 [hep-th/0301011]
-
(2003)
Phys. Lett. B
, vol.560
, pp. 116
-
-
Ahn, C.-H.1
-
107
-
-
0038075082
-
DV and WDVV
-
[hep-th/0301071]
-
L. Chekhov, A. Marshakov, A. Mironov and D. Vasiliev, 2003 DV and WDVV, Phys. Lett. B 562 323 [hep-th/0301071]
-
(2003)
Phys. Lett. B
, vol.562
, pp. 323
-
-
Chekhov, L.1
Marshakov, A.2
Mironov, A.3
Vasiliev, D.4
-
109
-
-
0043130168
-
On the property of Cachazo-Intriligator-Vafa prepotential at the extremum of the superpotential
-
[hep-th/0301135]
-
A. Dymarsky and V. Pestun, 2003 On the property of Cachazo-Intriligator- Vafa prepotential at the extremum of the superpotential, Phys. Rev. D 67 125001 [hep-th/0301135]
-
(2003)
Phys. Rev. D
, vol.67
, pp. 125001
-
-
Dymarsky, A.1
Pestun, V.2
-
110
-
-
0038678151
-
Effective superpotentials for SO/Sp with flavor from matrix models
-
[hep-th/0301226]
-
Y. Ookouchi and Y. Watabiki, 2003 Effective superpotentials for SO/Sp with flavor from matrix models, Mod. Phys. Lett. A 18 1113 [hep-th/0301226]
-
(2003)
Mod. Phys. Lett. A
, vol.18
, pp. 1113
-
-
Ookouchi, Y.1
Watabiki, Y.2
-
111
-
-
10744225164
-
Supereigenvalue model and Dijkgraaf-Vafa proposal
-
[hep-th/0304184]
-
H. Itoyama and H. Kanno, 2003 Supereigenvalue model and Dijkgraaf-Vafa proposal, Phys. Lett. B 573 227 [hep-th/0304184]
-
(2003)
Phys. Lett. B
, vol.573
, pp. 227
-
-
Itoyama, H.1
Kanno, H.2
-
112
-
-
1842812059
-
Whitham prepotential and superpotential
-
[hep-th/0312306]
-
H. Itoyama and H. Kanno, 2004 Whitham prepotential and superpotential, Nucl. Phys. B 686 155 [hep-th/0312306]
-
(2004)
Nucl. Phys. B
, vol.686
, pp. 155
-
-
Itoyama, H.1
Kanno, H.2
-
113
-
-
23044501721
-
Branched matrix models and the scales of supersymmetric gauge theories
-
[hep-th/0305225]
-
M. Matone and L. Mazzucato, 2003 Branched matrix models and the scales of supersymmetric gauge theories J. High Energy Phys. JHEP07(2003)015 [hep-th/0305225]
-
(2003)
J. High Energy Phys. JHEP
, vol.7
, pp. 015
-
-
Matone, M.1
Mazzucato, L.2
-
114
-
-
7044225746
-
An introduction to supersymmetric gauge theories and matrix models
-
[hep-th/0311066]
-
R. Argurio, G. Ferretti and R. Heise, 2004 An introduction to supersymmetric gauge theories and matrix models, Int. J. Mod. Phys. A 19 2015 [hep-th/0311066]
-
(2004)
Int. J. Mod. Phys. A
, vol.19
, pp. 2015
-
-
Argurio, R.1
Ferretti, G.2
Heise, R.3
-
115
-
-
23044448402
-
Exact superpotentials, theories with flavor and confining vacua
-
[hep-th/0405242]
-
M. Gomez-Reino, 2004 Exact superpotentials, theories with flavor and confining vacua J. High Energy Phys. JHEP06(2004)051 [hep-th/0405242]
-
(2004)
J. High Energy Phys.JHEP
, vol.6
, pp. 051
-
-
Gomez-Reino, M.1
-
116
-
-
18444409029
-
Supersymmetric U(N) gauge model and partial breaking of N=2 supersymmetry
-
[hep-th/0409060]
-
K. Fujiwara, H. Itoyama and M. Sakaguchi, 2005 Supersymmetric U(N) gauge model and partial breaking of N=2 supersymmetry, Prog. Theor. Phys. 113 429 [hep-th/0409060]
-
(2005)
Prog. Theor. Phys.
, vol.113
, pp. 429
-
-
Fujiwara, K.1
Itoyama, H.2
Sakaguchi, M.3
-
117
-
-
23444456896
-
Partial breaking of N=2 supersymmetry and of gauge symmetry in the U(N) gauge model
-
[hep-th/0503113]
-
K. Fujiwara, H. Itoyama and M. Sakaguchi, 2005 Partial breaking of N=2 supersymmetry and of gauge symmetry in the U(N) gauge model, Nucl. Phys. B 723 33 [hep-th/0503113]
-
(2005)
Nucl. Phys. B
, vol.723
, pp. 33
-
-
Fujiwara, K.1
Itoyama, H.2
Sakaguchi, M.3
-
118
-
-
33846374355
-
Supersymmetric U(N) gauge model and partial breaking of N=2 supersymmetry
-
[hep-th/0602267]
-
Supersymmetric U(N) gauge model and partial breaking of N=2 supersymmetry, Prog. Theor. Phys. Suppl. 164 2007 125 [hep-th/0602267]
-
(2007)
Prog. Theor. Phys. Suppl.
, vol.164
, pp. 1253
-
-
-
119
-
-
27544444558
-
The disc amplitude of the Dijkgraaf-Vafa theory: 1/N expansion vs complex curve analysis
-
[hep-th/0504162]
-
S. Aoyama, 2005 The disc amplitude of the Dijkgraaf-Vafa theory: 1/N expansion vs complex curve analysis J. High Energy Phys. JHEP10(2005)032 [hep-th/0504162]
-
(2005)
J. High Energy Phys. JHEP
, vol.10
, pp. 032
-
-
Aoyama, S.1
-
120
-
-
19844382400
-
Solving Virasoro constraints in matrix models
-
[hep-th/0412205]
-
A.S. Alexandrov, A. Mironov and A. Morozov, 2005 Solving Virasoro constraints in matrix models, Fortsch. Phys. 53 512 [hep-th/0412205]
-
(2005)
Fortsch. Phys.
, vol.53
, pp. 512
-
-
Alexandrov, A.S.1
Mironov, A.2
Morozov, A.3
-
121
-
-
33744475105
-
Unified description of correlators in non-Gaussian phases of Hermitean matrix model
-
[hep-th/0412099]
-
A.S. Alexandrov, A. Mironov and A. Morozov, 2006 Unified description of correlators in non-Gaussian phases of Hermitean matrix model, Int. J. Mod. Phys. A 21 2481 [hep-th/0412099]
-
(2006)
Int. J. Mod. Phys. A
, vol.21
, pp. 2481
-
-
Alexandrov, A.S.1
Mironov, A.2
Morozov, A.3
-
123
-
-
0002324480
-
A large-N duality via a geometric transition
-
[hep-th/0103067]
-
F. Cachazo, K.A. Intriligator and C. Vafa, 2001 A large-N duality via a geometric transition, Nucl. Phys. B 603 3 [hep-th/0103067]
-
(2001)
Nucl. Phys. B
, vol.603
, pp. 3
-
-
Cachazo, F.1
Intriligator, K.A.2
Vafa, C.3
-
125
-
-
23044501721
-
Branched matrix models and the scales of supersymmetric gauge theories
-
[hep-th/0305225]
-
M. Matone and L. Mazzucato, 2003 Branched matrix models and the scales of supersymmetric gauge theories J. High Energy Phys. JHEP07(2003)015 [hep-th/0305225]
-
(2003)
J. High Energy Phys. JHEP
, vol.7
, pp. 015
-
-
Matone, M.1
Mazzucato, L.2
-
126
-
-
7044225746
-
An introduction to supersymmetric gauge theories and matrix models
-
[hep-th/0311066]
-
R. Argurio, G. Ferretti and R. Heise, 2004 An introduction to supersymmetric gauge theories and matrix models, Int. J. Mod. Phys. A 19 2015 [hep-th/0311066]
-
(2004)
Int. J. Mod. Phys. A
, vol.19
, pp. 2015
-
-
Argurio, R.1
Ferretti, G.2
Heise, R.3
-
127
-
-
23044448402
-
Exact superpotentials, theories with flavor and confining vacua
-
[hep-th/0405242]
-
M. Gomez-Reino, 2004 Exact superpotentials, theories with flavor and confining vacua J. High Energy Phys. JHEP06(2004)051 [hep-th/0405242]
-
(2004)
J. High Energy Phys. JHEP
, vol.6
, pp. 051
-
-
Gomez-Reino, M.1
-
128
-
-
18444409029
-
Supersymmetric U(N) gauge model and partial breaking of N=2 supersymmetry
-
[hep-th/0409060]
-
K. Fujiwara, H. Itoyama and M. Sakaguchi, 2005 Supersymmetric U(N) gauge model and partial breaking of N=2 supersymmetry, Prog. Theor. Phys. 113 429 [hep-th/0409060]
-
(2005)
Prog. Theor. Phys.
, vol.113
, pp. 429
-
-
Fujiwara, K.1
Itoyama, H.2
Sakaguchi, M.3
-
129
-
-
23444456896
-
Partial breaking of N=2 supersymmetry and of gauge symmetry in the U(N) gauge model
-
[hep-th/0503113]
-
K. Fujiwara, H. Itoyama and M. Sakaguchi, 2005 Partial breaking of N=2 supersymmetry and of gauge symmetry in the U(N) gauge model, Nucl. Phys. B 723 33 [hep-th/0503113]
-
(2005)
Nucl. Phys. B
, vol.723
, pp. 33
-
-
Fujiwara, K.1
Itoyama, H.2
Sakaguchi, M.3
-
130
-
-
33846374355
-
Supersymmetric U(N) gauge model and partial breaking of N=2 supersymmetry
-
[hep-th/0602267]
-
Supersymmetric U(N) gauge model and partial breaking of N=2 supersymmetry, Prog. Theor. Phys. Suppl. 164 2007 125 [hep-th/0602267]
-
(2007)
Prog. Theor. Phys. Suppl.
, vol.164
, pp. 125
-
-
-
131
-
-
67649586883
-
Generation of matrix models by -operators
-
[0902.2627]
-
A. Morozov and S. Shakirov, 2009 Generation of matrix models by -operators J. High Energy Phys. JHEP04(2009)064 [0902.2627]
-
(2009)
J. High Energy Phys. JHEP
, vol.4
, pp. 064
-
-
Morozov, A.1
Shakirov, S.2
-
133
-
-
0000913607
-
Continuum Schwinger-Dyson equations and universal structures in two-dimensional quantum gravity
-
M. Fukuma, H. Kawai and R. Nakayama, 1991 Continuum Schwinger-dyson equations and universal structures in two-dimensional quantum gravity, Int. J. Mod. Phys. A 6 1385
-
(1991)
Int. J. Mod. Phys. A
, vol.6
, pp. 1385
-
-
Fukuma, M.1
Kawai, H.2
Nakayama, R.3
-
134
-
-
0000817931
-
Loop equations and Virasoro constraints in nonperturbative 2d quantum gravity
-
R. Dijkgraaf, E. Verlinde and H. Verlinde, 1991 Loop equations and Virasoro constraints in nonperturbative 2d quantum gravity, Nucl. Phys. B 348 435
-
(1991)
Nucl. Phys. B
, vol.348
, pp. 435
-
-
Dijkgraaf, R.1
Verlinde, E.2
Verlinde, H.3
-
135
-
-
0002534930
-
On the origin of Virasoro constraints in matrix models: Lagrangian approach
-
A. Mironov and A. Morozov, 1990 On the origin of Virasoro constraints in matrix models: Lagrangian approach, Phys. Lett. B 252 47
-
(1990)
Phys. Lett. B
, vol.252
, pp. 47
-
-
Mironov, A.1
Morozov, A.2
-
136
-
-
0001282961
-
Loop equations and nonperturbative effects in two-dimensional quantum gravity
-
F. David, 1990 Loop equations and nonperturbative effects in two-dimensional quantum gravity, Mod. Phys. Lett. A 5 1019
-
(1990)
Mod. Phys. Lett. A
, vol.5
, pp. 1019
-
-
David, F.1
-
137
-
-
0000175783
-
Properties of loop equations for the Hermitean matrix model and for two-dimensional quantum gravity
-
J. Ambjørn and Y.M. Makeenko, 1990 Properties of loop equations for the Hermitean matrix model and for two-dimensional quantum gravity, Mod. Phys. Lett. A 5 1753
-
(1990)
Mod. Phys. Lett. A
, vol.5
, pp. 1753
-
-
J. Ambjørn1
-
138
-
-
0000063974
-
Noncritical Virasoro algebra of d < 1 matrix model and quantized string field
-
H. Itoyama and Y. Matsuo, 1991 Noncritical Virasoro algebra of d < 1 matrix model and quantized string field, Phys. Lett. B 255 202
-
(1991)
Phys. Lett. B
, vol.255
, pp. 202
-
-
Itoyama, H.1
Matsuo, Y.2
-
139
-
-
0001130423
-
From Virasoro constraints in Kontsevich's model to W constraints in two matrix model
-
[hep-th/9201010]
-
A. Marshakov, A. Mironov and A. Morozov, 1992 From Virasoro constraints in Kontsevich's model to W constraints in two matrix model, Mod. Phys. Lett. A 7 1345 [hep-th/9201010]
-
(1992)
Mod. Phys. Lett. A
, vol.7
, pp. 1345
-
-
Marshakov, A.1
Mironov, A.2
Morozov, A.3
-
140
-
-
67649553259
-
Virasoro constraints for Kontsevich-Hurwitz partition function
-
[0807.2843]
-
A. Mironov and A. Morozov, 2009 Virasoro constraints for Kontsevich-Hurwitz partition function J. High Energy Phys. JHEP02(2009)024 [0807.2843]
-
(2009)
J. High Energy Phys. JHEP
, vol.2
, pp. 024
-
-
Mironov, A.1
Morozov, A.2
-
141
-
-
0000728060
-
Matrix models of 2-D gravity and Toda theory
-
A. Gerasimov, A. Marshakov, A. Mironov, A. Morozov and A. Orlov, 1991 Matrix models of 2-D gravity and Toda theory, Nucl. Phys. B 357 565
-
(1991)
Nucl. Phys. B
, vol.357
, pp. 565
-
-
Gerasimov, A.1
Marshakov, A.2
Mironov, A.3
Morozov, A.4
Orlov, A.5
-
142
-
-
0000840166
-
Characteristic vectors of bordered matrices with infinite dimensions
-
E.Wigner, 1955 Characteristic vectors of bordered matrices with infinite dimensions Ann. Math. 62 548
-
(1955)
Ann. Math.
, vol.62
, Issue.3
, pp. 548
-
-
Wigner, E.1
-
143
-
-
0001560594
-
On the distribution of the roots of certain symmetric matrices
-
E.Wigner, 1958 On the distribution of the roots of certain symmetric matrices Ann. Math. 67 325
-
(1958)
Ann. Math.
, vol.67
, Issue.2
, pp. 325
-
-
Wigner, E.1
-
144
-
-
35549006412
-
Statistical theory of the energy levels of complex systems. i
-
F.J. Dyson, 1962 Statistical theory of the energy levels of complex systems. I, J. Math. Phys. 3 140
-
(1962)
J. Math. Phys.
, vol.3
, pp. 140
-
-
Dyson, F.J.1
-
145
-
-
0011926686
-
Statistical Theory of the Energy Levels of Complex Systems. IV
-
F.Dyson and M. Mehta, 1963 Statistical Theory of the Energy Levels of Complex Systems. IV, J. Math. Phys. 4 701
-
(1963)
J. Math. Phys.
, vol.4
, pp. 701
-
-
Dyson, F.1
|