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Volumn , Issue 1, 2006, Pages 797-863

Topological strings and large N phase transitions I: Nonchiral expansion of q-deformed Yang-Mills theory

Author keywords

Brane Dynamics in Gauge Theories; Field Theories in Lower Dimensions; Nonperturbative Effects; Topological Strings

Indexed keywords


EID: 33645517443     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2006/01/035     Document Type: Article
Times cited : (31)

References (78)
  • 1
    • 42749098628 scopus 로고    scopus 로고
    • Black hole attractors and the topological string
    • H. Ooguri, A. Strominger and C. Vafa, Black hole attractors and the topological string 2004 Phys. Rev. D 70 106007 [hep-th/0405146]
    • (2004) Phys. Rev. , vol.70 , Issue.10 , pp. 106007
    • Ooguri, H.1    Strominger, A.2    Vafa, C.3
  • 2
    • 0000312292 scopus 로고    scopus 로고
    • Corrections to macroscopic supersymmetric black-hole entropy
    • G. Lopes Cardoso, B. de Wit and T. Mohaupt, Corrections to macroscopic supersymmetric black-hole entropy 1999 Phys. Lett. B 451 309 [hep-th/9812082]
    • (1999) Phys. Lett. , vol.451 , Issue.3-4 , pp. 309
    • Lopes Cardoso, G.1    De Wit, B.2    Mohaupt, T.3
  • 3
    • 0034356497 scopus 로고    scopus 로고
    • Deviations from the area law for supersymmetric black holes
    • G. Lopes Cardoso, B. de Wit and T. Mohaupt, Deviations from the area law for supersymmetric black holes 2000 Fortschr. Phys. 48 49 [hep-th/9904005]
    • (2000) Fortschr. Phys. , vol.48 , Issue.1-3 , pp. 49
    • Lopes Cardoso, G.1    De Wit, B.2    Mohaupt, T.3
  • 4
    • 0034645846 scopus 로고    scopus 로고
    • Macroscopic entropy formulae and non-holomorphic corrections for supersymmetric black holes
    • G. Lopes Cardoso, B. de Wit and T. Mohaupt, Macroscopic entropy formulae and non-holomorphic corrections for supersymmetric black holes 2000 Nucl. Phys. B 567 87 [hep-th/9906094]
    • (2000) Nucl. Phys. , vol.567 , Issue.1-2 , pp. 87
    • Lopes Cardoso, G.1    De Wit, B.2    Mohaupt, T.3
  • 5
    • 0035648651 scopus 로고    scopus 로고
    • Black hole entropy, special geometry and strings
    • T. Mohaupt, Black hole entropy, special geometry and strings 2001 Fortschr. Phys. 49 3 [hep-th/0007195]
    • (2001) Fortschr. Phys. , vol.49 , Issue.1-3 , pp. 3
    • Mohaupt, T.1
  • 6
    • 17544367760 scopus 로고    scopus 로고
    • Black holes, q-deformed 2d Yang-Mills and non-perturbative topological strings
    • M. Aganagic, H. Ooguri, N. Saulina and C. Vafa, Black holes, q-deformed 2d Yang-Mills and non-perturbative topological strings 2005 Nucl. Phys. B 715 304 [hep-th/0411280]
    • (2005) Nucl. Phys. , vol.715 , Issue.1-2 , pp. 304
    • Aganagic, M.1    Ooguri, H.2    Saulina, N.3    Vafa, C.4
  • 10
    • 27744505968 scopus 로고    scopus 로고
    • Exact counting of black hole microstates
    • A. Dabholkar, Exact counting of black hole microstates 2005 Phys. Rev. Lett. 94 241301 [hep-th/0409148]
    • (2005) Phys. Rev. Lett. , vol.94 , Issue.24 , pp. 241301
    • Dabholkar, A.1
  • 12
    • 23044437497 scopus 로고    scopus 로고
    • Asymptotic degeneracy of dyonic N ≤ 4 string states and black hole entropy
    • G.L. Cardoso, B. de Wit, J. Kappeli and T. Mohaupt, Asymptotic degeneracy of dyonic N ≤ 4 string states and black hole entropy 2004 J. High Energy Phys. JHEP12(2004)075 [hep-th/0412287]
    • (2004) J. High Energy Phys. , vol.2004 , Issue.12 , pp. 075
    • Cardoso, G.L.1    De Wit, B.2    Kappeli, J.3    Mohaupt, T.4
  • 13
    • 23844479937 scopus 로고    scopus 로고
    • Black holes, elementary strings and holomorphic anomaly
    • A. Sen, Black holes, elementary strings and holomorphic anomaly 2005 J. High Energy Phys. JHEP07(2005)063 [hep-th/0502126]
    • (2005) J. High Energy Phys. , vol.2005 , Issue.7 , pp. 063
    • Sen, A.1
  • 15
    • 23844479243 scopus 로고    scopus 로고
    • Stretching the horizon of a higher dimensional small black hole
    • A. Sen, Stretching the horizon of a higher dimensional small black hole 2005 J. High Energy Phys. JHEP07(2005)073 [hep-th/0505122]
    • (2005) J. High Energy Phys. , vol.2005 , Issue.7 , pp. 073
    • Sen, A.1
  • 16
    • 26044471804 scopus 로고    scopus 로고
    • Black hole entropy function and the attractor mechanism in higher derivative gravity
    • A. Sen, Black hole entropy function and the attractor mechanism in higher derivative gravity 2005 J. High Energy Phys. JHEP09(2005)038 [hep-th/0506177]
    • (2005) J. High Energy Phys. , vol.2005 , Issue.9 , pp. 038
    • Sen, A.1
  • 17
    • 24944478536 scopus 로고    scopus 로고
    • Exact and asymptotic degeneracies of small black holes
    • A. Dabholkar, F. Denef, G.W. Moore and B. Pioline, Exact and asymptotic degeneracies of small black holes 2005 J. High Energy Phys. JHEP08(2005)021 [hep-th/0502157]
    • (2005) J. High Energy Phys. , vol.2005 , Issue.8 , pp. 021
    • Dabholkar, A.1    Denef, F.2    Moore, G.W.3    Pioline, B.4
  • 18
    • 24944495790 scopus 로고    scopus 로고
    • BPS black hole degeneracies and minimal automorphic representations
    • B. Pioline, BPS black hole degeneracies and minimal automorphic representations 2005 J. High Energy Phys. JHEP08(2005)071 [hep-th/0506228]
    • (2005) J. High Energy Phys. , vol.2005 , Issue.8 , pp. 071
    • Pioline, B.1
  • 21
    • 0000414683 scopus 로고
    • Two-dimensional QCD as a string theory
    • D.J. Gross, Two-dimensional QCD as a string theory 1993 Nucl. Phys. B 400 161 [hep-th/9212149]
    • (1993) Nucl. Phys. , vol.400 , Issue.1-3 , pp. 161
    • Gross, D.J.1
  • 22
    • 0039961170 scopus 로고
    • Twists and wilson loops in the string theory of two-dimensional QCD
    • D.J. Gross and I.W. Taylor, Twists and wilson loops in the string theory of two-dimensional QCD 1993 Nucl. Phys. B 403 395 [hep-th/9303046]
    • (1993) Nucl. Phys. , vol.403 , Issue.1-2 , pp. 395
    • Gross, D.J.1    Taylor, I.W.2
  • 23
    • 13644277348 scopus 로고
    • Two-dimensional QCD is a string theory
    • D.J. Gross and I.W. Taylor, Two-dimensional QCD is a string theory 1993 Nucl. Phys. B 400 181 [hep-th/9301068]
    • (1993) Nucl. Phys. , vol.400 , Issue.1-3 , pp. 181
    • Gross, D.J.1    Taylor, I.W.2
  • 24
    • 13844323839 scopus 로고
    • Large-N phase transition in continuum QCD in two-dimensions
    • M.R. Douglas and V.A. Kazakov, Large-N phase transition in continuum QCD in two-dimensions 1993 Phys. Lett. B 319 219 [hep-th/9305047]
    • (1993) Phys. Lett. , vol.319 , Issue.1-3 , pp. 219
    • Douglas, M.R.1    Kazakov, V.A.2
  • 25
    • 0003037565 scopus 로고
    • Instanton induced large-N phase transitions in two-dimensional and four-dimensional QCD
    • D.J. Gross and A. Matytsin, Instanton induced large-N phase transitions in two-dimensional and four-dimensional QCD 1994 Nucl. Phys. B 429 50 [hep-th/9404004]
    • (1994) Nucl. Phys. , vol.429 , Issue.1 , pp. 50
    • Gross, D.J.1    Matytsin, A.2
  • 27
    • 0001827101 scopus 로고
    • Large-N phases of chiral QCD in two-dimensions
    • M.J. Crescimanno and W. Taylor, Large-N phases of chiral QCD in two-dimensions 1995 Nucl. Phys. B 437 3 [hep-th/9408115]
    • (1995) Nucl. Phys. , vol.446 , Issue.1-2 , pp. 3
    • Crescimanno, M.J.1    Taylor, W.2
  • 32
    • 4243306443 scopus 로고
    • N ≤ 2 extremal black holes
    • S. Ferrara, R. Kallosh and A. Strominger, N ≤ 2 extremal black holes 1995 Phys. Rev. D 52 5412 [hep-th/9508072]
    • (1995) Phys. Rev. , vol.52 , Issue.10 , pp. 5412
    • Ferrara, S.1    Kallosh, R.2    Strominger, A.3
  • 33
    • 0002098396 scopus 로고    scopus 로고
    • Macroscopic entropy of n ≤ 2 extremal black holes
    • A. Strominger, Macroscopic entropy of n ≤ 2 extremal black holes 1996 Phys. Lett. B 383 39 [hep-th/9602111]
    • (1996) Phys. Lett. , vol.383 , Issue.1 , pp. 39
    • Strominger, A.1
  • 34
  • 35
    • 0011625532 scopus 로고
    • Kodaira-Spencer theory of gravity and exact results for quantum string amplitudes
    • M. Bershadsky, S. Cecotti, H. Ooguri and C. Vafa, Kodaira-Spencer theory of gravity and exact results for quantum string amplitudes 1994 Comm. Math. Phys. 165 311 [hep-th/9309140]
    • (1994) Comm. Math. Phys. , vol.165 , Issue.2 , pp. 311
    • Bershadsky, M.1    Cecotti, S.2    Ooguri, H.3    Vafa, C.4
  • 36
    • 0030600821 scopus 로고    scopus 로고
    • D-branes and topological field theories
    • M. Bershadsky, C. Vafa and V. Sadov, D-branes and topological field theories 1996 Nucl. Phys. B 463 420 [hep-th/9511222]
    • (1996) Nucl. Phys. , vol.463 , Issue.2-3 , pp. 420
    • Bershadsky, M.1    Vafa, C.2    Sadov, V.3
  • 37
    • 0001859543 scopus 로고
    • A strong coupling test of S duality
    • C. Vafa and E. Witten, A strong coupling test of S duality 1994 Nucl. Phys. B 431 3 [hep-th/9408074]
    • (1994) Nucl. Phys. , vol.431 , Issue.1-2 , pp. 3
    • Vafa, C.1    Witten, E.2
  • 38
    • 33745008195 scopus 로고    scopus 로고
    • Multi-instanton calculus and equivariant cohomology
    • U. Bruzzo, F. Fucito, J.F. Morales and A. Tanzini, Multi-instanton calculus and equivariant cohomology 2003 J. High Energy Phys. JHEP05(2003)054 [hep-th/0211108]
    • (2003) J. High Energy Phys. , vol.2003 , Issue.5 , pp. 054
    • Bruzzo, U.1    Fucito, F.2    Morales, J.F.3    Tanzini, A.4
  • 39
    • 10144220642 scopus 로고    scopus 로고
    • Multi instanton calculus on ale spaces
    • F. Fucito, J.F. Morales and R. Poghossian, Multi instanton calculus on ale spaces 2004 Nucl. Phys. B 703 518 [hep-th/0406243]
    • (2004) Nucl. Phys. , vol.703 , Issue.3 , pp. 518
    • Fucito, F.1    Morales, J.F.2    Poghossian, R.3
  • 40
    • 84974003660 scopus 로고
    • Instantons on ALE spaces, quiver varieties and Kac-Moody algebras
    • H. Nakajima, Instantons on ALE spaces, quiver varieties and Kac-Moody algebras 1994 Duke Math. J. 76 365
    • (1994) Duke Math. J. , vol.76 , pp. 365
    • Nakajima, H.1
  • 41
    • 0035529343 scopus 로고    scopus 로고
    • The formulae of Kontsevich and Verlinde from the perspective of the Drinfeld double
    • C. Klimcík, The formulae of Kontsevich and Verlinde from the perspective of the Drinfeld double 2001 Comm. Math. Phys. 217 203 [hep-th/9911239]
    • (2001) Comm. Math. Phys. , vol.217 , Issue.1 , pp. 203
    • Klimcík, C.1
  • 42
    • 0001507966 scopus 로고
    • Derivation of the Verlinde formula from Chern-Simons theory and the G/G model
    • M. Blau and G. Thompson, Derivation of the Verlinde formula from Chern-Simons theory and the G/G model 1993 Nucl. Phys. B 408 345 [hep-th/9305010]
    • (1993) Nucl. Phys. , vol.408 , Issue.2 , pp. 345
    • Blau, M.1    Thompson, G.2
  • 43
    • 17144427930 scopus 로고
    • Two-dimensional gauge theories revisited
    • E. Witten, Two-dimensional gauge theories revisited 1992 J. Geom. Phys. 9 303 [hep-th/9204083]
    • (1992) J. Geom. Phys. , vol.9 , Issue.4 , pp. 303
    • Witten, E.1
  • 44
    • 0000605311 scopus 로고
    • Recursion equations in gauge field theories
    • A.A. Migdal, Recursion equations in gauge field theories 1975 Sov. Phys. JETP 42 413 [1975 Zh. Eksp. Teor. Fiz. 69 810 ]
    • (1975) Sov. Phys. JETP , vol.42 , pp. 413
    • Migdal, A.A.1
  • 46
    • 33744544553 scopus 로고
    • Possible third order phase transition in the large N lattice gauge theory
    • D.J. Gross and E. Witten, Possible third order phase transition in the large N lattice gauge theory 1980 Phys. Rev. D 21 446
    • (1980) Phys. Rev. , vol.21 , Issue.2 , pp. 446
    • Gross, D.J.1    Witten, E.2
  • 47
    • 0013073079 scopus 로고
    • N ≤ ∞ phase transition in a class of exactly soluble model lattice gauge theories
    • S.R. Wadia, N ≤ ∞ phase transition in a class of exactly soluble model lattice gauge theories 1980 Phys. Lett. B 93 403
    • (1980) Phys. Lett. , vol.93 , Issue.4 , pp. 403
    • Wadia, S.R.1
  • 48
    • 0242310336 scopus 로고
    • On quantum gauge theories in two-dimensions
    • E. Witten, On quantum gauge theories in two-dimensions 1991 Comm. Math. Phys. 141 153
    • (1991) Comm. Math. Phys. , vol.141 , Issue.1 , pp. 153
    • Witten, E.1
  • 49
    • 0039464101 scopus 로고    scopus 로고
    • Large-N 2-d Yang-Mills theory and topological string theory
    • S. Cordes, G.W. Moore and S. Ramgoolam, Large-N 2-d Yang-Mills theory and topological string theory 1997 Comm. Math. Phys. 185 543 [hep-th/9402107]
    • (1997) Comm. Math. Phys. , vol.185 , Issue.3 , pp. 543
    • Cordes, S.1    Moore, G.W.2    Ramgoolam, S.3
  • 50
    • 2942750468 scopus 로고    scopus 로고
    • Soft matrix models and Chern-Simons partition functions
    • M. Tierz, Soft matrix models and Chern-Simons partition functions 2004 Mod. Phys. Lett. A 19 1365 [hep-th/0212128]
    • (2004) Mod. Phys. Lett. , vol.19 , Issue.18 , pp. 1365
    • Tierz, M.1
  • 51
    • 14544278320 scopus 로고    scopus 로고
    • Brownian motion, Chern-Simons theory and 2d Yang-Mills
    • S. de Haro and M. Tierz, Brownian motion, Chern-Simons theory and 2d Yang-Mills 2004 Phys. Lett. B 601 201 [hep-th/0406093]
    • (2004) Phys. Lett. , vol.601 , Issue.3-4 , pp. 201
    • De Haro, S.1    Tierz, M.2
  • 54
    • 0000311753 scopus 로고
    • Classical solutions for two-dimensional QCD on the sphere
    • J.A. Minahan and A.P. Polychronakos, Classical solutions for two-dimensional QCD on the sphere 1994 Nucl. Phys. B 422 172 [hep-th/9309119]
    • (1994) Nucl. Phys. , vol.422 , Issue.1-2 , pp. 172
    • Minahan, J.A.1    Polychronakos, A.P.2
  • 55
    • 0000942063 scopus 로고
    • Generalized two-dimensional QCD
    • M.R. Douglas, K. Li and M. Staudacher, Generalized two-dimensional QCD 1994 Nucl. Phys. B 420 118 [hep-th/9401062]
    • (1994) Nucl. Phys. , vol.420 , Issue.1-2 , pp. 118
    • Douglas, M.R.1    Li, K.2    Staudacher, M.3
  • 57
    • 27344460119 scopus 로고    scopus 로고
    • Derivation of Calabi-Yau crystals from Chern-Simons gauge theory
    • T. Okuda, Derivation of Calabi-Yau crystals from Chern-Simons gauge theory 2005 J. High Energy Phys. JHEP03(2005)047 [hep-th/0409270]
    • (2005) J. High Energy Phys. , vol.2005 , Issue.3 , pp. 047
    • Okuda, T.1
  • 58
    • 11244311845 scopus 로고    scopus 로고
    • Chern-Simons theory, matrix integrals and perturbative three-manifold invariants
    • M. Marĩo, Chern-Simons theory, matrix integrals and perturbative three-manifold invariants 2004 Comm. Math. Phys. 253 25 [hep-th/0207096]
    • (2004) Comm. Math. Phys. , vol.253 , Issue.1 , pp. 25
    • Marĩo, M.1
  • 59
    • 23044455832 scopus 로고    scopus 로고
    • Matrix model as a mirror of Chern-Simons theory
    • M. Aganagic, A. Klemm, M. Marĩo and C. Vafa, Matrix model as a mirror of Chern-Simons theory 2004 J. High Energy Phys. JHEP02(2004)010 [hep-th/0211098]
    • (2004) J. High Energy Phys. , vol.2004 , Issue.2 , pp. 010
    • Aganagic, M.1    Klemm, A.2    Marĩo, M.3    Vafa, C.4
  • 60
    • 23044435326 scopus 로고    scopus 로고
    • Chern-Simons theory in lens spaces from 2d Yang-Mills on the cylinder
    • S. de Haro, Chern-Simons theory in lens spaces from 2d Yang-Mills on the cylinder 2004 J. High Energy Phys. JHEP08(2004)041 [hep-th/0407139]
    • (2004) J. High Energy Phys. , vol.2004 , Issue.8 , pp. 041
    • De Haro, S.1
  • 61
    • 27944476710 scopus 로고    scopus 로고
    • Chern-Simons theory, 2d Yang-Mills and Lie algebra wanderers
    • S. de Haro, Chern-Simons theory, 2d Yang-Mills and Lie algebra wanderers 2005 Nucl. Phys. B 730 312 [hep-th/0412110]
    • (2005) Nucl. Phys. , vol.730 , Issue.3 , pp. 312
    • De Haro, S.1
  • 62
    • 0011414553 scopus 로고
    • Counter-examples to the generalized positive action conjecture
    • C. LeBrun, Counter-examples to the generalized positive action conjecture 1988 Comm. Math. Phys. 118 591
    • (1988) Comm. Math. Phys. , vol.118 , Issue.4 , pp. 591
    • Lebrun, C.1
  • 63
    • 21844507036 scopus 로고
    • A large K asymptotics of Witten's invariant of Seifert manifolds
    • L. Rozansky, A large K asymptotics of Witten's invariant of Seifert manifolds 1995 Comm. Math. Phys. 171 279 [hep-th/9303099]
    • (1995) Comm. Math. Phys. , vol.171 , Issue.2 , pp. 279
    • Rozansky, L.1
  • 64
    • 0030530947 scopus 로고    scopus 로고
    • Residue formulas for the large K asymptotics of Witten's invariants of seifert manifolds: The case of SU(2)
    • L. Rozansky, Residue formulas for the large K asymptotics of Witten's invariants of seifert manifolds: the case of SU(2), 1996 Comm. Math. Phys. 178 27 [hep-th/9412075]
    • (1996) Comm. Math. Phys. , vol.178 , Issue.1 , pp. 27
    • Rozansky, L.1
  • 65
    • 44049112686 scopus 로고
    • Seifert fibred homology 3-spheres and the Yang-Mills equations on Riemann surfaces with marked points
    • M. Furuta and B. Steer, Seifert fibred homology 3-spheres and the Yang-Mills equations on Riemann surfaces with marked points 1992 Adv. in Math. 96 38
    • (1992) Adv. in Math. , vol.96
    • Furuta, M.1    Steer, B.2
  • 67
    • 23044462261 scopus 로고    scopus 로고
    • Large-N duality, Lens spaces and the Chern-Simons matrix model
    • N. Halmagyi, T. Okuda and V. Yasnov, Large-N duality, Lens spaces and the Chern-Simons matrix model 2004 J. High Energy Phys. JHEP04(2004)014 [hep-th/0312145]
    • (2004) J. High Energy Phys. , vol.2004 , Issue.4 , pp. 014
    • Halmagyi, N.1    Okuda, T.2    Yasnov, V.3
  • 69
    • 79551491388 scopus 로고    scopus 로고
    • On the gauge theory/geometry correspondence
    • R. Gopakumar and C. Vafa, On the gauge theory/geometry correspondence 1999 Adv. Theor. Math. Phys. 3 1415 [hep-th/9811131]
    • (1999) Adv. Theor. Math. Phys. , vol.3 , pp. 1415
    • Gopakumar, R.1    Vafa, C.2
  • 70
    • 33645522371 scopus 로고    scopus 로고
    • http://functions.wolfram.com/08.05.16.0008.01
  • 71
    • 0001239960 scopus 로고    scopus 로고
    • Uniqueness of the minimum of the free energy of the 2d Yang-Mills theory at large-N
    • A. Aghamohammadi, M. Alimohammadi and M. Khorrami, Uniqueness of the minimum of the free energy of the 2d Yang-Mills theory at large-N 1999 Mod. Phys. Lett. A 14 751 [hep-th/9707080]
    • (1999) Mod. Phys. Lett. , vol.14 , Issue.12 , pp. 751
    • Aghamohammadi, A.1    Alimohammadi, M.2    Khorrami, M.3
  • 72
    • 0001296625 scopus 로고    scopus 로고
    • Large-N limit of the generalized two-dimensional Yang-Mills theories
    • M. Alimohammadi, M. Khorrami and A. Aghamohammadi, Large-N limit of the generalized two-dimensional Yang-Mills theories 1998 Nucl. Phys. B 510 313 [hep-th/9707081]
    • (1998) Nucl. Phys. , vol.510 , Issue.1-2 , pp. 313
    • Alimohammadi, M.1    Khorrami, M.2    Aghamohammadi, A.3
  • 74
    • 0034599225 scopus 로고    scopus 로고
    • Dimensionally reduced SYM4 as solvable matrix quantum mechanics
    • 4 as solvable matrix quantum mechanics 2000 Nucl. Phys. B 571 479 [hep-th/9907058]
    • (2000) Nucl. Phys. , vol.571 , Issue.1-2 , pp. 479
    • Hoppe, J.1    Kazakov, V.2    Kostov, I.K.3


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