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Volumn 2010, Issue 7, 2010, Pages

Holomorphicity and modularity in Seiberg-Witten theories with matter

Author keywords

Matrix models; Supersymmetric gauge theory; Supersymmetry and duality

Indexed keywords


EID: 77954982834     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP07(2010)083     Document Type: Article
Times cited : (52)

References (55)
  • 1
    • 34948902190 scopus 로고    scopus 로고
    • Holomorphic anomaly in gauge theories and matrix models
    • hep-th/0605195
    • M.-x. Huang and A. Klemm, Holomorphic anomaly in gauge theories and matrix models, JHEP 09 (2007) 054 [hep-th/0605195].
    • (2007) JHEP , vol.9 , pp. 054
    • Huang, M.-X.1    Klemm, A.2
  • 3
    • 37449025111 scopus 로고    scopus 로고
    • Topological strings and (almost) modular forms
    • hep-th/0607100
    • M. Aganagic, V. Bouchard and A. Klemm, Topological strings and (almost) modular forms, Commun. Math. Phys. 277 (2008) 771 [hep-th/0607100].
    • (2008) Commun. Math. Phys. , vol.277 , pp. 771
    • Aganagic, M.1    Bouchard, V.2    Klemm, A.3
  • 4
    • 11244326926 scopus 로고    scopus 로고
    • Seiberg-Witten prepotential from instanton counting
    • hep-th/0206161
    • N. A. Nekrasov, Seiberg-Witten prepotential from instanton counting, Adv. Theor. Math. Phys. 7 (2004) 831 [hep-th/0206161].
    • (2004) Adv. Theor. Math. Phys. , vol.7 , pp. 831
    • Nekrasov, N.A.1
  • 6
    • 0031582557 scopus 로고    scopus 로고
    • Geometric engineering of quantum field theories
    • hep-th/9609239
    • S. H. Katz, A. Klemm and C. Vafa, Geometric engineering of quantum field theories, Nucl. Phys. B 497 (1997) 173 [hep-th/9609239].
    • (1997) Nucl. Phys. , vol.497 B , pp. 173
    • Katz, S.H.1    Klemm, A.2    Vafa, C.3
  • 7
    • 13644276850 scopus 로고
    • Electric - Magnetic duality, monopole condensation, and confinement in N = 2 supersymmetric Yang-Mills theory
    • N. Seiberg and E. Witten, Electric - magnetic duality, monopole condensation, and confinement in N = 2 supersymmetric Yang-Mills theory, Nucl. Phys. B 426 (1994) 19
    • (1994) Nucl. Phys. , vol.426 B , pp. 19
    • Seiberg, N.1    Witten, E.2
  • 8
    • 77954991717 scopus 로고
    • ibid, hep-th/9407087
    • [Erratum ibid. B 430 (1994) 485] [hep-th/9407087].
    • (1994) Erratum , vol.430 B , pp. 485
  • 9
    • 0346866199 scopus 로고
    • Monopoles, duality and chiral symmetry breaking in N = 2 supersymmetric QCD
    • hep-th/9408099
    • N. Seiberg and E. Witten, Monopoles, duality and chiral symmetry breaking in N = 2 supersymmetric QCD, Nucl. Phys. B 431 (1994) 484 [hep-th/9408099].
    • (1994) Nucl. Phys. , vol.431 B , pp. 484
    • Seiberg, N.1    Witten, E.2
  • 10
    • 16144366518 scopus 로고    scopus 로고
    • Nonperturbative results on the point particle limit of N = 2 heterotic string compactifications
    • hep-th/9508155
    • S. Kachru, A. Klemm, W. Lerche, P. Mayr and C. Vafa, Nonperturbative results on the point particle limit of N = 2 heterotic string compactifications, Nucl. Phys. B 459 (1996) 537 [hep-th/9508155].
    • (1996) Nucl. Phys. , vol.459 B , pp. 537
    • Kachru, S.1    Klemm, A.2    Lerche, W.3    Mayr, P.4    Vafa, C.5
  • 11
    • 0030596982 scopus 로고    scopus 로고
    • Self-dual strings and N = 2 supersymmetric field theory
    • hep-th/9604034
    • A. Klemm, W. Lerche, P. Mayr, C. Vafa and N. P. Warner, Self-dual strings and N = 2 supersymmetric field theory, Nucl. Phys. B 477 (1996) 746 [hep-th/9604034].
    • (1996) Nucl. Phys. , vol.477 B , pp. 746
    • Klemm, A.1    Lerche, W.2    Mayr, P.3    Vafa, C.4    Warner, N.P.5
  • 12
    • 23044436751 scopus 로고    scopus 로고
    • Gravitational corrections in supersymmetric gauge theory and matrix models
    • hep-th/0211216
    • A. Klemm, M. Mariño and S. Theisen, Gravitational corrections in supersymmetric gauge theory and matrix models, JHEP 03 (2003) 051 [hep-th/0211216].
    • (2003) JHEP , vol.3 , pp. 051
    • Klemm, A.1    Mariño, M.2    Theisen, S.3
  • 13
    • 0037064465 scopus 로고    scopus 로고
    • Matrix models, topological strings and supersymmetric gauge theories
    • hep-th/0206255
    • R. Dijkgraaf and C. Vafa, Matrix models, topological strings and supersymmetric gauge theories, Nucl. Phys. B 644 (2002) 3 [hep-th/0206255].
    • (2002) Nucl. Phys. , vol.644 B , pp. 3
    • Dijkgraaf, R.1    Vafa, C.2
  • 14
    • 0037064452 scopus 로고    scopus 로고
    • On geometry and matrix models
    • hep-th/0207106
    • R. Dijkgraaf and C. Vafa, On geometry and matrix models, Nucl. Phys. B 644 (2002) 21 [hep-th/0207106].
    • (2002) Nucl. Phys. , vol.644 B , pp. 21
    • Dijkgraaf, R.1    Vafa, C.2
  • 15
  • 16
    • 51349147069 scopus 로고    scopus 로고
    • All orders asymptotic expansion of large partitions
    • arXiv:0804.0381
    • B. Eynard, All orders asymptotic expansion of large partitions, J. Stat. Mech. (2008) P07023 [arXiv:0804.0381].
    • (2008) J. Stat. Mech
    • Eynard, B.1
  • 17
    • 70449725693 scopus 로고    scopus 로고
    • Seiberg-Witten theory and matrix models
    • arXiv:0810.4944
    • A. Klemm and P. Sulkowski, Seiberg-Witten theory and matrix models, Nucl. Phys. B 819 (2009) 400 [arXiv:0810.4944].
    • (2009) Nucl. Phys. , vol.819 B , pp. 400
    • Klemm, A.1    Sulkowski, P.2
  • 19
    • 43049095770 scopus 로고    scopus 로고
    • Open string amplitudes and large order behavior in topological string theory
    • hep-th/0612127
    • M. Mariño, Open string amplitudes and large order behavior in topological string theory, JHEP 03 (2008) 060 [hep-th/0612127].
    • (2008) JHEP , vol.3 , pp. 060
    • Mariño, M.1
  • 20
    • 58149277506 scopus 로고    scopus 로고
    • Integrability of the holomorphic anomaly equations
    • arXiv:0809.1674
    • B. Haghighat, A. Klemm and M. Rauch, Integrability of the holomorphic anomaly equations, JHEP 10 (2008) 097 [arXiv:0809.1674].
    • (2008) JHEP , vol.10 , pp. 097
    • Haghighat, B.1    Klemm, A.2    Rauch, M.3
  • 22
    • 0011625532 scopus 로고
    • Kodaira-Spencer theory of gravity and exact results for quantum string amplitudes
    • hep-th/9309140
    • M. Bershadsky, S. Cecotti, H. Ooguri and C. Vafa, Kodaira-Spencer theory of gravity and exact results for quantum string amplitudes, Commun. Math. Phys. 165 (1994) 311 [hep-th/9309140].
    • (1994) Commun. Math. Phys , vol.165 , pp. 311
    • Bershadsky, M.1    Cecotti, S.2    Ooguri, H.3    Vafa, C.4
  • 23
    • 0030593099 scopus 로고    scopus 로고
    • New N = 2 superconformal field theories in four dimensions
    • hep-th/9511154
    • P. C. Argyres, M. Ronen Plesser, N. Seiberg and E. Witten, New N = 2 superconformal field theories in four dimensions, Nucl. Phys. B 461 (1996) 71 [hep-th/9511154].
    • (1996) Nucl. Phys , vol.461 B , pp. 71
    • Argyres, P.C.1    Plesser, M.R.2    Seiberg, N.3    Witten, E.4
  • 25
    • 77952091720 scopus 로고    scopus 로고
    • Topological open strings on orbifolds
    • arXiv:0807.0597
    • V. Bouchard, A. Klemm, M. Mariño and S. Pasquetti, Topological open strings on orbifolds, Commun. Math. Phys. 296 (2010) 589 [arXiv:0807.0597].
    • (2010) Commun. Math. Phys , vol.296 , pp. 589
    • Pasquetti, S.1
  • 26
    • 23044459970 scopus 로고    scopus 로고
    • Topological string partition functions as polynomials
    • hep-th/0406078
    • S. Yamaguchi and S.-T. Yau, Topological string partition functions as polynomials, JHEP 07 (2004) 047 [hep-th/0406078].
    • (2004) JHEP 07 , pp. 047
    • Yamaguchi, S.1    Yau, S.-T.2
  • 27
    • 77953250224 scopus 로고    scopus 로고
    • Direct integration of the topological string
    • hep-th/0702187
    • T. W. Grimm, A. Klemm, M. Mariño and M. Weiss, Direct integration of the topological string, JHEP 08 (2007) 058 [hep-th/0702187].
    • (2007) JHEP 08 , pp. 058
    • Grimm, T.W.1    Klemm, A.2    Mariño, M.3    Weiss, M.4
  • 28
    • 77949772019 scopus 로고    scopus 로고
    • Liouville correlation functions from four-dimensional gauge theories
    • arXiv:0906.3219
    • L. F. Alday, D. Gaiotto and Y. Tachikawa, Liouville correlation functions from four-dimensional gauge theories, Lett. Math. Phys. 91 (2010) 167 [arXiv:0906.3219].
    • (2010) Lett. Math. Phys , vol.91 , pp. 167
    • Alday, L.F.1    Gaiotto, D.2    Tachikawa, Y.3
  • 29
    • 35748944525 scopus 로고    scopus 로고
    • Polynomial structure of the (open) topological string partition function
    • arXiv:0708.2886
    • M. Alim and J. D. Lange, Polynomial structure of the (open) topological string partition function, JHEP 10 (2007) 045 [arXiv:0708.2886].
    • (2007) JHEP 10 , pp. 045
    • Alim, M.1    Lange, J.D.2
  • 31
    • 0043290689 scopus 로고
    • Simple singularities and N = 2 supersymmetric Yang-Mills theory
    • hep-th/9411048
    • A. Klemm, W. Lerche, S. Yankielowicz and S. Theisen, Simple singularities and N = 2 supersymmetric Yang-Mills theory, Phys. Lett. B 344 (1995) 169 [hep-th/9411048].
    • (1995) Phys. Lett. B 344 , pp. 169
    • Klemm, A.1    Lerche, W.2    Yankielowicz, S.3    Theisen, S.4
  • 34
    • 0010936066 scopus 로고    scopus 로고
    • Prepotentials in N = 2SU (2) supersymmetric Yang-Mills theory with massless hypermultiplets
    • hep-th/9507144
    • K. Ito and S.-K. Yang, Prepotentials in N = 2SU (2) supersymmetric Yang-Mills theory with massless hypermultiplets, Phys. Lett. B 366 (1996) 165 [hep-th/9507144].
    • (1996) Phys. Lett. B 366 , pp. 165
    • Ito, K.1    Yang, S.-K.2
  • 36
    • 0000171765 scopus 로고
    • A stringy test of the fate of the conifold
    • hep-th/9505023
    • C. Vafa, A stringy test of the fate of the conifold, Nucl. Phys. B 447 (1995) 252 [hep-th/9505023].
    • (1995) Nucl. Phys , vol.447 B , pp. 252
    • Vafa, C.1
  • 37
    • 0010768747 scopus 로고
    • C = 1 string as the topological theory of the conifold
    • hep-th/9506122
    • D. Ghoshal and C. Vafa, C = 1 string as the topological theory of the conifold, Nucl. Phys. B 453 (1995) 121 [hep-th/9506122].
    • (1995) Nucl. Phys , vol.453 B , pp. 121
    • Ghoshal, D.1    Vafa, C.2
  • 38
    • 58149159453 scopus 로고    scopus 로고
    • Topological string theory on compact Calabi-Yau: Modularity and boundary conditions
    • hep-th/0612125
    • M.-x. Huang, A. Klemm and S. Quackenbush, Topological string theory on compact Calabi-Yau: modularity and boundary conditions, Lect. Notes Phys. 757 (2009) 45 [hep-th/0612125].
    • (2009) Lect. Notes Phys. , vol.757 , pp. 45
    • Huang, M.-X.1    Klemm, A.2    Quackenbush, S.3
  • 39
    • 0000647766 scopus 로고    scopus 로고
    • Nonperturbative effective actions of N = 2 supersymmetric gauge theories
    • hep-th/9505150
    • A. Klemm, W. Lerche and S. Theisen, Nonperturbative effective actions of N = 2 supersymmetric gauge theories, Int. J. Mod. Phys. A 11 (1996) 1929 [hep-th/9505150].
    • (1996) Int. J. Mod. Phys. , vol.11 A , pp. 1929
    • Klemm, A.1    Lerche, W.2    Theisen, S.3
  • 40
    • 0030371721 scopus 로고    scopus 로고
    • Prepotential of N = 2SU (2) Yang-Mills gauge theory coupled with a massive matter multiplet
    • hep-th/9604051
    • Y. Ohta, Prepotential of N = 2SU (2) Yang-Mills gauge theory coupled with a massive matter multiplet, J. Math. Phys. 37 (1996) 6074 [hep-th/9604051].
    • (1996) J. Math. Phys. , vol.37 , pp. 6074
    • Ohta, Y.1
  • 41
    • 0031542891 scopus 로고    scopus 로고
    • Prepotentials of N = 2SU (2) Yang-Mills theories coupled with massive matter multiplets
    • hep-th/9604059
    • Y. Ohta, Prepotentials of N = 2SU (2) Yang-Mills theories coupled with massive matter multiplets, J. Math. Phys. 38 (1997) 682 [hep-th/9604059].
    • (1997) J. Math. Phys. , vol.38 , pp. 682
    • Ohta, Y.1
  • 43
    • 0004224459 scopus 로고    scopus 로고
    • Periods, coupling constants and modular functions in N = 2SU (2) SYM with massive matter
    • hep-th/9609130
    • A. Brandhuber and S. Stieberger, Periods, coupling constants and modular functions in N = 2SU (2) SYM with massive matter, Int. J. Mod. Phys. A 13 (1998) 1329 [hep-th/9609130].
    • (1998) Int. J. Mod. Phys. , vol.13 A , pp. 1329
    • Brandhuber, A.1    Stieberger, S.2
  • 44
    • 21444442448 scopus 로고    scopus 로고
    • Topological strings and Nekrasov's formulas
    • hep-th/0310235
    • T. Eguchi and H. Kanno, Topological strings and Nekrasov's formulas, JHEP 12 (2003) 006 [hep-th/0310235].
    • (2003) JHEP 12 , pp. 006
    • Eguchi, T.1    Kanno, H.2
  • 45
    • 0001870278 scopus 로고
    • New phenomena in SU (3) supersymmetric gauge theory
    • hep-th/9505062
    • P. C. Argyres and M. R. Douglas, New phenomena in SU (3) supersymmetric gauge theory, Nucl. Phys. B 448 (1995) 93 [hep-th/9505062].
    • (1995) Nucl. Phys. , vol.448 B , pp. 93
    • Argyres, P.C.1    Douglas, M.R.2
  • 47
    • 77954941438 scopus 로고    scopus 로고
    • Global properties of topological string amplitudes and orbifold invariants
    • arXiv:0809.4253
    • M. Alim, J. D. Lange and P. Mayr, Global properties of topological string amplitudes and orbifold invariants, JHEP 03 (2010) 113 [arXiv:0809.4253].
    • (2010) JHEP , vol.3 , pp. 113
    • Alim, M.1    Lange, J.D.2    Mayr, P.3
  • 49
    • 23044455832 scopus 로고    scopus 로고
    • Matrix model as a mirror of Chern-Simons theory
    • hep-th/0211098
    • M. Aganagic, A. Klemm, M. Mariño and C. Vafa, Matrix model as a mirror of Chern-Simons theory, JHEP 02 (2004) 010 [hep-th/0211098].
    • (2004) JHEP , vol.2 , pp. 010
    • Aganagic, M.1    Klemm, A.2    Mariño, M.3    Vafa, C.4
  • 50
    • 34547655742 scopus 로고    scopus 로고
    • Holomorphic anomaly and matrix models
    • hep-th/0702110
    • B. Eynard, M. Mariño and N. Orantin, Holomorphic anomaly and matrix models, JHEP 06 (2007) 058 [hep-th/0702110].
    • (2007) JHEP , vol.6 , pp. 058
    • Eynard, B.1    Mariño, M.2    Orantin, N.3
  • 51
    • 67349194963 scopus 로고    scopus 로고
    • Extended holomorphic anomaly and loop amplitudes in open topological string
    • arXiv:0705.4098
    • J. Walcher, Extended holomorphic anomaly and loop amplitudes in open topological string, Nucl. Phys. B 817 (2009) 167 [arXiv:0705.4098].
    • (2009) Nucl. Phys. , vol.817 B , pp. 167
    • Walcher, J.1
  • 53
    • 66749155356 scopus 로고    scopus 로고
    • Multi-instantons and multi-cuts
    • arXiv:0809.2619
    • M. Mariño, R. Schiappa and M. Weiss, Multi-instantons and multi-cuts, J. Math. Phys. 50 (2009) 052301 [arXiv:0809.2619].
    • (2009) J. Math. Phys. , vol.50 , pp. 052301
    • Mariño, M.1    Schiappa, R.2    Weiss, M.3
  • 55
    • 0346866199 scopus 로고
    • Monopoles, duality and chiral symmetry breaking in N = 2 supersymmetric QCD
    • hep-th/9408099
    • N. Seiberg and E. Witten, Monopoles, duality and chiral symmetry breaking in N = 2 supersymmetric QCD, Nucl. Phys. B 431 (1994) 484 [hep-th/9408099].
    • (1994) Nucl. Phys. , vol.431 B , pp. 484
    • Seiberg, N.1    Witten, E.2


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