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Volumn 185, Issue 3, 1997, Pages 543-619

Large N 2D Yang-Mills theory and topological string theory

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EID: 0039464101     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200050102     Document Type: Article
Times cited : (91)

References (84)
  • 1
    • 51249189385 scopus 로고
    • Construction of a crossing-symmetric, Regge-behaved amplitude for linearly rising trajectories
    • Veneziano, G.: Construction of a crossing-symmetric, Regge-behaved amplitude for linearly rising trajectories. Nuovo Cim. 57A, 190 (1968)
    • (1968) Nuovo Cim. , vol.57 A , pp. 190
    • Veneziano, G.1
  • 2
    • 33645928718 scopus 로고
    • Confinement of quarks
    • Wilson, K.G.: Confinement of quarks. Phys. Rev. D10, 2445 (1974)
    • (1974) Phys. Rev. , vol.D10 , pp. 2445
    • Wilson, K.G.1
  • 3
    • 33744543538 scopus 로고
    • A planar diagram theory for string interactions
    • t Hooft, G.: A planar diagram theory for string interactions. Nucl. Phys. B72, 461 (1974)
    • (1974) Nucl. Phys. , vol.B72 , pp. 461
    • Hooft, G.1
  • 6
    • 0039927206 scopus 로고
    • Published in String Theory Workshop, Rome hep-th/9212148
    • Gross, D.: Some new/old approaches to QCD. Published in String Theory Workshop, Rome 1992, pp. 251-268; hep-th/9212148
    • (1992) Some New/old Approaches to QCD , pp. 251-268
    • Gross, D.1
  • 7
    • 0039334908 scopus 로고    scopus 로고
    • Published in Strings '93, Berkeley, hep-th/9311072
    • Gross, D.J., Taylor, W.: Two-Dimensional QCD and Strings. Published in Strings '93, Berkeley, 1993, pp. 214-225; hep-th/9311072
    • (1993) Two-dimensional QCD and Strings , pp. 214-225
    • Gross, D.J.1    Taylor, W.2
  • 10
    • 0000424642 scopus 로고
    • Recursion equations in gauge theories
    • Sov. Phys. JETP. 42, 413
    • Migdal, A.: Recursion equations in gauge theories. Zh. Eskp. Teor. Fiz. 69, 810 (1975) (Sov. Phys. JETP. 42, 413)
    • (1975) Zh. Eskp. Teor. Fiz. , vol.69 , pp. 810
    • Migdal, A.1
  • 11
    • 0000622470 scopus 로고
    • Non-linear strings in two dimensional U (∞) gauge theory
    • Kazakov, V.A., Kostov, I.: Non-linear strings in two dimensional U (∞) gauge theory. Nucl. Phys. B176, 199-215 (1980); Kazakov, V.A.: Wilson Loop average for an arbitrary contour in two-dimensional U (N) gauge theory. Nucl. Phys. B179, 283-292 (1981)
    • (1980) Nucl. Phys. , vol.B176 , pp. 199-215
    • Kazakov, V.A.1    Kostov, I.2
  • 12
    • 0000146210 scopus 로고
    • Wilson loop average for an arbitrary contour in two-dimensional U (N) gauge theory
    • Kazakov, V.A., Kostov, I.: Non-linear strings in two dimensional U (∞) gauge theory. Nucl. Phys. B176, 199-215 (1980); Kazakov, V.A.: Wilson Loop average for an arbitrary contour in two-dimensional U (N) gauge theory. Nucl. Phys. B179, 283-292 (1981)
    • (1981) Nucl. Phys. , vol.B179 , pp. 283-292
    • Kazakov, V.A.1
  • 13
    • 0001501420 scopus 로고
    • Loop averages and partition functions in U (N) gauge theory on two-dimensional manifolds
    • Rusakov, B.: Loop Averages and Partition Functions in U (N) gauge theory on two-dimensional manifolds. Mod. Phys. Lett. A5, 693 (1990)
    • (1990) Mod. Phys. Lett. , vol.A5 , pp. 693
    • Rusakov, B.1
  • 14
    • 0242310336 scopus 로고
    • On gauge theories in two dimensions
    • Witten, E.: On gauge theories in two dimensions. Commun. Math. Phys. 141, 153 (1991)
    • (1991) Commun. Math. Phys. , vol.141 , pp. 153
    • Witten, E.1
  • 16
    • 0039334908 scopus 로고    scopus 로고
    • PUPT-1356, LBL-33415; hep-th/9212149
    • Gross, D.: Dimensional QCD as a String Theory. PUPT-1356, LBL-33415; hep-th/9212149; Gross, D., Taylor, W.: Two-dimensional QCD is a String Theory. Nucl. Phys. B400, 161-180 (1993); hep-th/9301068; Gross D., Taylor, W.: Twists and Loops in the String Theory of Two Dimensional QCD. Nucl. Phys. B403, 395-452 (1993); hep-th/9303046
    • Dimensional QCD As a String Theory
    • Gross, D.1
  • 17
    • 0000414683 scopus 로고
    • Two-dimensional QCD is a string theory
    • hep-th/9301068
    • Gross, D.: Dimensional QCD as a String Theory. PUPT-1356, LBL-33415; hep-th/9212149; Gross, D., Taylor, W.: Two-dimensional QCD is a String Theory. Nucl. Phys. B400, 161-180 (1993); hep-th/9301068; Gross D., Taylor, W.: Twists and Loops in the String Theory of Two Dimensional QCD. Nucl. Phys. B403, 395-452 (1993); hep-th/9303046
    • (1993) Nucl. Phys. , vol.B400 , pp. 161-180
    • Gross, D.1    Taylor, W.2
  • 18
    • 0039961170 scopus 로고
    • Twists and loops in the string theory of two dimensional QCD
    • hep-th/9303046
    • Gross, D.: Dimensional QCD as a String Theory. PUPT-1356, LBL-33415; hep-th/9212149; Gross, D., Taylor, W.: Two-dimensional QCD is a String Theory. Nucl. Phys. B400, 161-180 (1993); hep-th/9301068; Gross D., Taylor, W.: Twists and Loops in the String Theory of Two Dimensional QCD. Nucl. Phys. B403, 395-452 (1993); hep-th/9303046
    • (1993) Nucl. Phys. , vol.B403 , pp. 395-452
    • Gross, D.1    Taylor, W.2
  • 19
    • 0000464161 scopus 로고
    • Summing over inequivalent maps in the string theory interpretation of QCD
    • hep-th/930/005
    • Minahan, J.: Summing over inequivalent maps in the string theory interpretation of QCD. Phys. Rev. D47, 3430 (1993) hep-th/930/005
    • (1993) Phys. Rev. , vol.D47 , pp. 3430
    • Minahan, J.1
  • 21
    • 13444256444 scopus 로고
    • Holomorphic anomalies in topological field theories
    • hep-th/9302103
    • Bershadsky, M., Cecotti, S., Ooguri, H., Vafa, C.: Holomorphic anomalies in topological field theories. Nucl. Phys. B405, 279-304 (1993); hep-th/9302103; Kodaira-Spencer theory of gravity and exact quantum string amplitudes. Commun. Math. Phys. 165, 311-428 (1994); hep-th/9309140
    • (1993) Nucl. Phys. , vol.B405 , pp. 279-304
    • Bershadsky, M.1    Cecotti, S.2    Ooguri, H.3    Vafa, C.4
  • 22
    • 0011625532 scopus 로고
    • Kodaira-Spencer theory of gravity and exact quantum string amplitudes
    • hep-th/9309140
    • Bershadsky, M., Cecotti, S., Ooguri, H., Vafa, C.: Holomorphic anomalies in topological field theories. Nucl. Phys. B405, 279-304 (1993); hep-th/9302103; Kodaira-Spencer theory of gravity and exact quantum string amplitudes. Commun. Math. Phys. 165, 311-428 (1994); hep-th/9309140
    • (1994) Commun. Math. Phys. , vol.165 , pp. 311-428
  • 23
    • 27844517114 scopus 로고
    • Weil algebra structure and geometrical meaning of BRST transformation in topological quantum field theory
    • Kanno, H.: Weil algebra structure and geometrical meaning of BRST transformation in topological quantum field theory. Z. Phys. C43, 477 (1989)
    • (1989) Z. Phys. , vol.C43 , pp. 477
    • Kanno, H.1
  • 24
    • 0011676770 scopus 로고
    • Topological lagrangians and cohomology
    • Atiyah M.F., Jeffrey, L.: Topological Lagrangians and Cohomology. Jour. Geom. Phys. 7, 119 (1990)
    • (1990) Jour. Geom. Phys. , vol.7 , pp. 119
    • Atiyah, M.F.1    Jeffrey, L.2
  • 25
    • 21144468299 scopus 로고
    • BRST model for equivariant cohomology and representatives for the equivariant thom class
    • Kalkman, J.: BRST Model for Equivariant Cohomology and Representatives for the Equivariant Thom Class. Commun. Math. Phys. 153, 447 (1993)
    • (1993) Commun. Math. Phys. , vol.153 , pp. 447
    • Kalkman, J.1
  • 26
    • 0039927213 scopus 로고
    • Topological strings and qcd in two dimensions
    • EFI-93-66, hep-th/9311156. To appear
    • Horava, P.: Topological Strings and QCD in Two Dimensions. EFI-93-66, hep-th/9311156. To appear in Proc. of The Cargese Workshop, 1993
    • (1993) Proc. of The Cargese Workshop
    • Horava, P.1
  • 27
    • 0000132766 scopus 로고
    • Hurwitz schemes and irreducibility of moduli of algebraic curves
    • Fulton, W.: Hurwitz schemes and irreducibility of moduli of algebraic curves. Annals of Math. 90, 542 (1969)
    • (1969) Annals of Math. , vol.90 , pp. 542
    • Fulton, W.1
  • 28
    • 0000729729 scopus 로고
    • Branch point structure of covering maps onto nonorientable surfaces
    • Ezell, C.L.: Branch point structure of covering maps onto nonorientable surfaces. Trans. Am. Math. Soc. 243 (1978)
    • (1978) Trans. Am. Math. Soc. , vol.243
    • Ezell, C.L.1
  • 31
    • 0000153899 scopus 로고
    • Deformation of maps to branched coverings in dimension two
    • Edmonds, A.L.: Deformation of maps to branched coverings in dimension two. Annals of Mathematics 110, 113-125 (1979)
    • (1979) Annals of Mathematics , vol.110 , pp. 113-125
    • Edmonds, A.L.1
  • 32
    • 0002423753 scopus 로고
    • On the kodaira dimension of the moduli space of curves
    • Harris, J., Mumford, D.: On the Kodaira dimension of the Moduli Space of Curves. Invent. math. 67, 23-86 (1982)
    • (1982) Invent. Math. , vol.67 , pp. 23-86
    • Harris, J.1    Mumford, D.2
  • 36
    • 0000180610 scopus 로고    scopus 로고
    • Towards an enumerative geometry of the moduli space of curves
    • Basel-Boston: (Birkhauser)
    • Mumford, D.: Towards an enumerative geometry of the moduli space of Curves. In: Arithmetic and Geometry Basel-Boston: (Birkhauser).
    • Arithmetic and Geometry
    • Mumford, D.1
  • 37
    • 0000045315 scopus 로고
    • The projectivity of the moduli space of stable curves
    • Knudsen, F.: The projectivity of the moduli space of stable curves. Math. Scand. 52, 161 (1983)
    • (1983) Math. Scand. , vol.52 , pp. 161
    • Knudsen, F.1
  • 39
    • 84972538864 scopus 로고
    • Perturbative series and the moduli space of riemann surfaces
    • Penner, R.C.: Perturbative Series and the moduli space of Riemann surfaces. J. Diff. Geom. 27, 35-53 (1988)
    • (1988) J. Diff. Geom. , vol.27 , pp. 35-53
    • Penner, R.C.1
  • 41
    • 84972528328 scopus 로고
    • On the classification of generic branched coverings of surfaces
    • Berstein, I., Edmonds, A.L.: On the classification of generic branched coverings of surfaces. Illinois J. Math. 28, number 1 (1984)
    • (1984) Illinois J. Math. , vol.28 , Issue.1
    • Berstein, I.1    Edmonds, A.L.2
  • 42
    • 0003841773 scopus 로고
    • New York: Academic Press
    • Vick, J.: Homology Theory. New York: Academic Press, 1973
    • (1973) Homology Theory
    • Vick, J.1
  • 43
    • 1542511960 scopus 로고
    • Topological sigma models
    • Witten, E.: Topological sigma models. Commun. Math. Phys. 118, 411-419 (1988)
    • (1988) Commun. Math. Phys. , vol.118 , pp. 411-419
    • Witten, E.1
  • 44
    • 0003118037 scopus 로고
    • An introduction to topological Yang-Mills theory
    • van Baal, P.: An Introduction to Topological Yang-Mills Theory. Acta Physica Polonica, B21, 73 (1990)
    • (1990) Acta Physica Polonica , vol.B21 , pp. 73
    • Van Baal, P.1
  • 45
    • 84919254766 scopus 로고
    • Introduction to cohomological field theories
    • Trieste, Italy, Jun
    • Witten, E.: Introduction to Cohomological Field Theories. Lectures at Workshop on Topological Methods in Physics, Trieste, Italy, Jun 11-25, 1990, Int. J. Mod. Phys. A6, 2775 (1991)
    • (1990) Lectures at Workshop on Topological Methods in Physics , pp. 11-25
    • Witten, E.1
  • 46
    • 0001242299 scopus 로고
    • Witten, E.: Introduction to Cohomological Field Theories. Lectures at Workshop on Topological Methods in Physics, Trieste, Italy, Jun 11-25, 1990, Int. J. Mod. Phys. A6, 2775 (1991)
    • (1991) Int. J. Mod. Phys. , vol.A6 , pp. 2775
  • 49
    • 0041113962 scopus 로고
    • Blau, M.: The Mathai-Quillen Formalism and Topological Field Theory. Notes of Lectures given at the Karpacz Winter School on Infinite Dimensional Geometry in Physics, Karpacz, Poland, Feb. 17-29, 1992; J. Geom. and Phys. 11, 129 (1991)
    • (1991) J. Geom. and Phys. , vol.11 , pp. 129
  • 51
    • 58149325105 scopus 로고    scopus 로고
    • Lectures on 2d Yang-Mills theory, equivariant cohomology and topological field theories
    • Published in two parts. Trieste
    • Cordes, S., Moore, G., Ramgoolam, S.: Lectures on 2d Yang-Mills Theory, equivariant Cohomology and Topological Field Theories. http://xxx.lanl.gov/lh94. Published in two parts. Part I: Proceedings String Theory, Gauge Theory and Quantum Gravity, Trieste 1994, pp. 184-244. Part II: Proceedings of the 1994 Les Houches summer school, session 62, Fluctuating Geometries in Statistical Mechanics and Field Theory
    • (1994) Part I: Proceedings String Theory, Gauge Theory and Quantum Gravity , pp. 184-244
    • Cordes, S.1    Moore, G.2    Ramgoolam, S.3
  • 53
    • 0038722672 scopus 로고
    • Topological quantum field theory
    • Witten, E.: Topological Quantum Field Theory. Commun. Math. Phys. 117, 353 (1988)
    • (1988) Commun. Math. Phys. , vol.117 , pp. 353
    • Witten, E.1
  • 54
    • 0000055829 scopus 로고
    • Superconnections, thom classes, and equivariant differential forms
    • Mathai, V., Quillen, D.: Superconnections, Thom Classes, and Equivariant Differential Forms. Topology 25, 85 (1986)
    • (1986) Topology , vol.25 , pp. 85
    • Mathai, V.1    Quillen, D.2
  • 57
    • 4243993979 scopus 로고
    • The N-matrix model and gauged WZW models
    • Witten, E: "The N-Matrix Model and gauged WZW models. Nucl. Phys. B371, 191 (1992)
    • (1992) Nucl. Phys. , vol.B371 , pp. 191
    • Witten, E.1
  • 59
    • 0009243741 scopus 로고
    • On the structure of the topological phase of two-dimensional gravity
    • Witten, E.: On the Structure of the Topological Phase of Two-Dimensional Gravity. Nucl. Phys. B340, 281 (1990)
    • (1990) Nucl. Phys. , vol.B340 , pp. 281
    • Witten, E.1
  • 60
    • 0001158442 scopus 로고
    • Verlinde, E., Verlinde, H., Nucl. Phys. B348, 457 (1991); Dijkgraaf, R., Verlinde; E., Verlinde H.: Nucl. Phys. B348, 435 (1991); B352, 59 (1991). In String Theory and quantum Gravity. Proc. Trieste Spring School, April 1990 (World Scientific, Singapore, 1991)
    • (1991) Nucl. Phys. , vol.B348 , pp. 457
    • Verlinde, E.1    Verlinde, H.2
  • 61
    • 0000817931 scopus 로고
    • Verlinde, E., Verlinde, H., Nucl. Phys. B348, 457 (1991); Dijkgraaf, R., Verlinde; E., Verlinde H.: Nucl. Phys. B348, 435 (1991); B352, 59 (1991). In String Theory and quantum Gravity. Proc. Trieste Spring School, April 1990 (World Scientific, Singapore, 1991)
    • (1991) Nucl. Phys. , vol.B348 , pp. 435
    • Dijkgraaf, R.1    Verlinde, E.2    Verlinde, H.3
  • 62
    • 0001158442 scopus 로고
    • Verlinde, E., Verlinde, H., Nucl. Phys. B348, 457 (1991); Dijkgraaf, R., Verlinde; E., Verlinde H.: Nucl. Phys. B348, 435 (1991); B352, 59 (1991). In String Theory and quantum Gravity. Proc. Trieste Spring School, April 1990 (World Scientific, Singapore, 1991)
    • (1991) Nucl. Phys. , vol.B352 , pp. 59
  • 63
    • 0001158442 scopus 로고
    • In string theory and quantum gravity
    • April 1990 World Scientific, Singapore
    • Verlinde, E., Verlinde, H., Nucl. Phys. B348, 457 (1991); Dijkgraaf, R., Verlinde; E., Verlinde H.: Nucl. Phys. B348, 435 (1991); B352, 59 (1991). In String Theory and quantum Gravity. Proc. Trieste Spring School, April 1990 (World Scientific, Singapore, 1991)
    • (1991) Proc. Trieste Spring School
  • 64
    • 0011677107 scopus 로고
    • Two dimensional string theory and the topological torus
    • Horava, P.: Two dimensional string theory and the topological torus. Nucl. Phys. B386, 383-404 (1992)
    • (1992) Nucl. Phys. , vol.B386 , pp. 383-404
    • Horava, P.1
  • 65
    • 1542797327 scopus 로고
    • The topological sigma model
    • Baulieu, L., Singer, I.: The Topological Sigma Model. Commun. Math. Phys. 125, 227-237 (1989)
    • (1989) Commun. Math. Phys. , vol.125 , pp. 227-237
    • Baulieu, L.1    Singer, I.2
  • 66
    • 0000646893 scopus 로고
    • Geometry on the space of conformal field theories and contact terms
    • Kutasov, D.: Geometry on the space of conformal field theories and contact terms. Phys. Lett. 220B, 153 (1989)
    • (1989) Phys. Lett. , vol.220 B , pp. 153
    • Kutasov, D.1
  • 68
    • 0001032796 scopus 로고
    • From loops to states in sD quantum gravity
    • Moore, G. Seiberg, Staudacher, M.: From Loops to States in sD Quantum Gravity. Nucl. Phys. 362, 665 (1991)
    • (1991) Nucl. Phys. , vol.362 , pp. 665
    • Moore, G.S.1    Staudacher, M.2
  • 69
    • 33645920089 scopus 로고
    • Theory of strings with boundaries: Fluctuations, topology and quantum geometry
    • Alvarez, O.: Theory of strings with boundaries: fluctuations, topology and quantum geometry. Nucl. Phys 216, 125 (1983)
    • (1983) Nucl. Phys , vol.216 , pp. 125
    • Alvarez, O.1
  • 72
    • 4243913371 scopus 로고
    • Loop space solution of two-dimensional QCD
    • Strominger, A.: Loop space solution of Two-Dimensional QCD. Phys. Lett. 101B, 271 (1981)
    • (1981) Phys. Lett. , vol.101 B , pp. 271
    • Strominger, A.1
  • 73
    • 0001028002 scopus 로고
    • Bars, I. Hanson, A.: Phys. Rev. D13, 1744 (1976); Nucl. Phys. B111, 413 (1976)
    • (1976) Phys. Rev. , vol.D13 , pp. 1744
    • Bars, I.1    Hanson, A.2
  • 74
    • 24244442606 scopus 로고
    • Bars, I. Hanson, A.: Phys. Rev. D13, 1744 (1976); Nucl. Phys. B111, 413 (1976)
    • (1976) Nucl. Phys. , vol.B111 , pp. 413
  • 75
    • 0004272022 scopus 로고
    • Berlin-Heidelberg-New York: Springer
    • See, e.g., Glimm, J., Jaffe, A.: Quantum Physics, Berlin-Heidelberg-New York: Springer 1981
    • (1981) Quantum Physics
    • Glimm, J.J.A.1
  • 78
    • 0002944675 scopus 로고
    • Comment on two dimensional O(N) and Sp(N) Yang Mills theories as string theories
    • hep-th/9307085
    • Ramgoolam, S.: Comment on two dimensional O(N) and Sp(N) Yang Mills theories as string theories. hep-th/9307085: Nucl. Phys. B 418, 30 (1994)
    • (1994) Nucl. Phys. B , vol.418 , pp. 30
    • Ramgoolam, S.1
  • 79
    • 85012636591 scopus 로고
    • On deformations of holomorphic maps, I, II, III
    • Horikawa, E.: On deformations of holomorphic maps, I, II, III. J. Math. Soc. Japan, 25, 647 (1973) ibid 26, 372 (1974); Math. Ann. 222, 275 (1976)
    • (1973) J. Math. Soc. Japan , vol.25 , pp. 647
    • Horikawa, E.1
  • 80
    • 0039927195 scopus 로고
    • Horikawa, E.: On deformations of holomorphic maps, I, II, III. J. Math. Soc. Japan, 25, 647 (1973) ibid 26, 372 (1974); Math. Ann. 222, 275 (1976)
    • (1974) J. Math. Soc. Japan , vol.26 , pp. 372
  • 81
    • 0039927196 scopus 로고
    • Horikawa, E.: On deformations of holomorphic maps, I, II, III. J. Math. Soc. Japan, 25, 647 (1973) ibid 26, 372 (1974); Math. Ann. 222, 275 (1976)
    • (1976) Math. Ann. , vol.222 , pp. 275
  • 82
    • 0040520065 scopus 로고
    • On the existence of Kuranishi Family for deformations of holomorphic maps
    • Mijayima, M.: On the existence of Kuranishi Family for deformations of holomorphic maps. Science Rep. Kagoshima Univ., 27, 43 (1978)
    • (1978) Science Rep. Kagoshima Univ. , vol.27 , pp. 43
    • Mijayima, M.1
  • 83
    • 0010960001 scopus 로고
    • Families of meroniorphic functions on compact riemann surfaces
    • New York,: Springer Verlag
    • Namba, M.: Families of Meroniorphic Functions on Compact Riemann Surfaces. Lecture Notes in Mathematics, Number 767, New York,: Springer Verlag 1979
    • (1979) Lecture Notes in Mathematics , vol.767
    • Namba, M.1


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