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Volumn 8, Issue 3, 2004, Pages 179-221

Nonperturbative superpotentials and compactification to three dimensions

Author keywords

Field Theories in Lower Dimensions; Integrable Equations in Physics; Nonperturbative Effects; Supersymmetric Effective Theories

Indexed keywords


EID: 23044494025     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2004/03/009     Document Type: Review
Times cited : (7)

References (55)
  • 1
    • 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. B , vol.644 , pp. 3
    • Dijkgraaf, R.1    Vafa, C.2
  • 2
    • 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. B , vol.644 , pp. 21
    • Dijkgraaf, R.1    Vafa, C.2
  • 4
    • 2542479634 scopus 로고    scopus 로고
    • Perturbative computation of glueball superpotentials
    • [hep-th/0211017]
    • R. Dijkgraaf, M.T. Grisaru, C.S. Lam, C. Vafa and D. Zanon, Perturbative computation of glueball superpotentials, Phys. Lett. B 573 (2003) 138 [hep-th/0211017].
    • (2003) Phys. Lett. B , vol.573 , pp. 138
    • Dijkgraaf, R.1    Grisaru, M.T.2    Lam, C.S.3    Vafa, C.4    Zanon, D.5
  • 5
    • 23044436654 scopus 로고    scopus 로고
    • Chiral rings and anomalies in supersymmetric gauge theory
    • [hep-th/0211170]
    • F. Cachazo, M.R. Douglas, N. Seiberg and E. Witten, Chiral rings and anomalies in supersymmetric gauge theory, J. High Energy Phys. 12 (2002) 071 [hep-th/0211170].
    • (2002) J. High Energy Phys. , vol.12 , pp. 071
    • Cachazo, F.1    Douglas, M.R.2    Seiberg, N.3    Witten, E.4
  • 6
    • 0000012465 scopus 로고
    • An effective lagrangian for the pure N = 1 supersymmetric Yang-Mills theory
    • G. Veneziano and S. Yankielowicz, An effective lagrangian for the pure N = 1 supersymmetric Yang-Mills theory, Phys. Lett. B 113 (1982) 231.
    • (1982) Phys. Lett. B , vol.113 , pp. 231
    • Veneziano, G.1    Yankielowicz, S.2
  • 8
    • 0030583978 scopus 로고    scopus 로고
    • Integrable systems and supersymmetric gauge theory
    • [hep-th/9509161]
    • E.J. Martinec and N.P. Warner, Integrable systems and supersymmetric gauge theory, Nucl. Phys. B 459 (1996) 97 [hep-th/9509161].
    • (1996) Nucl. Phys. B , vol.459 , pp. 97
    • Martinec, E.J.1    Warner, N.P.2
  • 9
    • 0000522045 scopus 로고    scopus 로고
    • Whitham-toda hierarchy and N = 2 supersymmetric Yang-Mills theory
    • [hep-th/9509162]
    • T. Nakatsu and K. Takasaki, Whitham-toda hierarchy and N = 2 supersymmetric Yang-Mills theory, Mod. Phys. Lett. A 11 (1996) 157 [hep-th/9509162].
    • (1996) Mod. Phys. Lett. A , vol.11 , pp. 157
    • Nakatsu, T.1    Takasaki, K.2
  • 11
    • 13644276850 scopus 로고
    • Electric - Magnetic duality, monopole condensation and confinement in N = 2 supersymmetric Yang-Mills theory
    • [hep-th/9407087], erratum ibid. B430 (1994) 485
    • 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 [hep-th/9407087], erratum ibid. B430 (1994) 485.
    • (1994) Nucl. Phys. B , vol.426 , pp. 19
    • Seiberg, N.1    Witten, E.2
  • 12
    • 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. B , vol.431 , pp. 484
    • Seiberg, N.1    Witten, E.2
  • 13
    • 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 , vol.344 , pp. 169
    • Klemm, A.1    Lerche, W.2    Yankielowicz, S.3    Theisen, S.4
  • 14
    • 4243445460 scopus 로고
    • The vacuum structure and spectrum of N = 2 supersymmetric SU (N) gauge theory
    • [hep-th/9411057]
    • P.C. Argyres and A.E. Faraggi, The vacuum structure and spectrum of N = 2 supersymmetric SU (N) gauge theory, Phys. Rev. Lett. 74 (1995) 3931 [hep-th/9411057].
    • (1995) Phys. Rev. Lett. , vol.74 , pp. 3931
    • Argyres, P.C.1    Faraggi, A.E.2
  • 15
    • 0031465129 scopus 로고    scopus 로고
    • Introduction to s-duality in N = 2 supersymmetric gauge theories: A pedagogical review of the work of Seiberg and Witten
    • [hep-th/9701069]
    • L. Alvarez-Gaumé and S.F. Hassan, Introduction to s-duality in N = 2 supersymmetric gauge theories: a pedagogical review of the work of Seiberg and Witten, Fortschr. Phys. 45 (1997) 159 [hep-th/9701069].
    • (1997) Fortschr. Phys. , vol.45 , pp. 159
    • Alvarez-Gaumé, L.1    Hassan, S.F.2
  • 18
    • 0001731481 scopus 로고
    • Dynamics of SU(N) supersymmetric gauge theory
    • [hep-th/9503163]
    • M.R. Douglas and S.H. Shenker, Dynamics of SU(N) supersymmetric gauge theory, Nucl. Phys. B 447 (1995) 271 [hep-th/9503163].
    • (1995) Nucl. Phys. B , vol.447 , pp. 271
    • Douglas, M.R.1    Shenker, S.H.2
  • 19
    • 0032472550 scopus 로고    scopus 로고
    • Monopole condensation and confining phase of N = 1 gauge theories via M-theory fivebrane
    • [hep-th/9708044]
    • J. de Boer and Y. Oz, Monopole condensation and confining phase of N = 1 gauge theories via M-theory fivebrane, Nucl. Phys. B 511 (1998) 155 [hep-th/9708044].
    • (1998) Nucl. Phys. B , vol.511 , pp. 155
    • De Boer, J.1    Oz, Y.2
  • 20
    • 33645896733 scopus 로고    scopus 로고
    • An elliptic superpotential for softly broken N = 4 supersymmetric Yang-Mills theory
    • [hep-th/9906011]
    • N. Dorey, An elliptic superpotential for softly broken N = 4 supersymmetric Yang-Mills theory, J. High Energy Phys. 07 (1999) 021 [hep-th/9906011].
    • (1999) J. High Energy Phys. , vol.7 , pp. 021
    • Dorey, N.1
  • 21
    • 0037017657 scopus 로고    scopus 로고
    • An exact elliptic superpotential for N = 1* deformations of finite N = 2 gauge theories
    • [hep-th/0108221]
    • N. Dorey, T.J. Hollowood and S. Prem Kumar, An exact elliptic superpotential for N = 1* deformations of finite N = 2 gauge theories, Nucl. Phys. B 624 (2002) 95 [hep-th/0108221].
    • (2002) Nucl. Phys. B , vol.624 , pp. 95
    • Dorey, N.1    Hollowood, T.J.2    Kumar, S.P.3
  • 23
    • 23044445336 scopus 로고    scopus 로고
    • Factorization of Seiberg-Witten curves and compactification to three dimensions
    • [hep-th/0305189]
    • R. Boels, J. de Boer, R. Duivenvoorden and J. Wijnhout, Factorization of Seiberg-Witten curves and compactification to three dimensions, J. High Energy Phys. 03 (2004) 010 [hep-th/0305189].
    • (2004) J. High Energy Phys. , vol.3 , pp. 010
    • Boels, R.1    De Boer, J.2    Duivenvoorden, R.3    Wijnhout, J.4
  • 24
    • 0000045346 scopus 로고
    • On duality in supersymmetric Yang-Mills theory
    • [hep-th/9505004]
    • D. Kutasov and A. Schwimmer, On duality in supersymmetric Yang-Mills theory, Phys. Lett. B 354 (1995) 315 [hep-th/9505004].
    • (1995) Phys. Lett. B , vol.354 , pp. 315
    • Kutasov, D.1    Schwimmer, A.2
  • 25
    • 0030597556 scopus 로고    scopus 로고
    • Chiral rings, singularity theory and electric-magnetic duality
    • [hep-th/9510222]
    • D. Kutasov, A. Schwimmer and N. Seiberg, Chiral rings, singularity theory and electric-magnetic duality, Nucl. Phys. B 459 (1996) 455 [hep-th/9510222].
    • (1996) Nucl. Phys. B , vol.459 , pp. 455
    • Kutasov, D.1    Schwimmer, A.2    Seiberg, N.3
  • 26
    • 0141756505 scopus 로고    scopus 로고
    • Phases of N = 1 supersymmetric gauge theories and matrices
    • [hep-th/0301006]
    • F. Cachazo, N. Seiberg and E. Witten, Phases of N = 1 supersymmetric gauge theories and matrices, J. High Energy Phys. 02 (2003) 042 [hep-th/0301006].
    • (2003) J. High Energy Phys. , vol.2 , pp. 042
    • Cachazo, F.1    Seiberg, N.2    Witten, E.3
  • 27
    • 0002324480 scopus 로고    scopus 로고
    • A large-N duality via a geometric transition
    • [hep-th/0103067]
    • F. Cachazo, K.A. Intriligator and C. Vafa, A large-N duality via a geometric transition, Nucl. Phys. B 603 (2001) 3 [hep-th/0103067].
    • (2001) Nucl. Phys. B , vol.603 , pp. 3
    • Cachazo, F.1    Intriligator, K.A.2    Vafa, C.3
  • 28
    • 0001327357 scopus 로고    scopus 로고
    • Mirror symmetry in three dimensional gauge theories
    • [hep-th/9607207]
    • K.A. Intriligator and N. Seiberg, Mirror symmetry in three dimensional gauge theories, Phys. Lett. B 387 (1996) 513 [hep-th/9607207].
    • (1996) Phys. Lett. B , vol.387 , pp. 513
    • Intriligator, K.A.1    Seiberg, N.2
  • 29
    • 0031232410 scopus 로고    scopus 로고
    • Dynamics of N = 2 supersymmetric gauge theories in three dimensions
    • [hep-th/9703100]
    • J. de Boer, K. Hori and Y. Oz, Dynamics of N = 2 supersymmetric gauge theories in three dimensions, Nucl. Phys. B 500 (1997) 163 [hep-th/9703100].
    • (1997) Nucl. Phys. B , vol.500 , pp. 163
    • De Boer, J.1    Hori, K.2    Oz, Y.3
  • 30
    • 0001727360 scopus 로고
    • Index theorems on open spaces
    • C. Callias, Index theorems on open spaces, Commun. Math. Phys. 62 (1978) 213.
    • (1978) Commun. Math. Phys. , vol.62 , pp. 213
    • Callias, C.1
  • 31
    • 26144434509 scopus 로고
    • Quark confinement and topology of gauge groups
    • A.M. Polyakov, Quark confinement and topology of gauge groups, Nucl. Phys. B 120 (1977) 429.
    • (1977) Nucl. Phys. B , vol.120 , pp. 429
    • Polyakov, A.M.1
  • 32
    • 0001558882 scopus 로고
    • Topology of quantum gauge fields and duality. 1. Yang-Mills Higgs system in (2+1)-dimensions
    • S.R. Wadia and S.R. Das, Topology of quantum gauge fields and duality. 1. Yang-Mills Higgs system in (2+1)-dimensions, Phys. Lett. B 106 (1981) 386.
    • (1981) Phys. Lett. B , vol.106 , pp. 386
    • Wadia, S.R.1    Das, S.R.2
  • 33
    • 0000776568 scopus 로고
    • Instantons and (super)symmetry breaking in (2 + 1) dimensions
    • I. Affleck, J. Harvey and E. Witten, Instantons and (super)symmetry breaking in (2 + 1) dimensions, Nucl. Phys. B 206 (1982) 413.
    • (1982) Nucl. Phys. B , vol.206 , pp. 413
    • Affleck, I.1    Harvey, J.2    Witten, E.3
  • 34
  • 35
    • 0001623172 scopus 로고    scopus 로고
    • Monopoles and instantons on partially compactified d-branes
    • [hep-th/9702107]
    • K.-M. Lee and P. Yi, Monopoles and instantons on partially compactified d-branes, Phys. Rev. D 56 (1997) 3711 [hep-th/9702107].
    • (1997) Phys. Rev. D , vol.56 , pp. 3711
    • Lee, K.-M.1    Yi, P.2
  • 36
    • 0031582556 scopus 로고    scopus 로고
    • Geometric engineering of N = 1 quantum field theories
    • [hep-th/9611090]
    • S. Katz and C. Vafa, Geometric engineering of N = 1 quantum field theories, Nucl. Phys. B 497 (1997) 196 [hep-th/9611090].
    • (1997) Nucl. Phys. B , vol.497 , pp. 196
    • Katz, S.1    Vafa, C.2
  • 37
    • 2442627086 scopus 로고
    • Algebraic structure of toda systems
    • D.I. Olive and N. Turok, Algebraic structure of toda systems, Nucl. Phys. B 220 (1983) 491.
    • (1983) Nucl. Phys. B , vol.220 , pp. 491
    • Olive, D.I.1    Turok, N.2
  • 38
    • 84981754671 scopus 로고
    • Integrals of nonlinear equations of evolution and solitary waves
    • P.D. Lax, Integrals of nonlinear equations of evolution and solitary waves, Commun. Pure Appl. Math. 21 (1968) 467.
    • (1968) Commun. Pure Appl. Math. , vol.21 , pp. 467
    • Lax, P.D.1
  • 40
    • 0037471328 scopus 로고    scopus 로고
    • Partition functions for matrix models and isomonodromic tau functions
    • [nlin.si/0204054]
    • M. Bertola, B. Eynard and J. Harnad, Partition functions for matrix models and isomonodromic tau functions, J. Phys. A 36 (2003) 3067 [nlin.si/0204054].
    • (2003) J. Phys. A , vol.36 , pp. 3067
    • Bertola, M.1    Eynard, B.2    Harnad, J.3
  • 42
    • 0037471294 scopus 로고    scopus 로고
    • On some integrals over the U(N) unitary group and their large-N limit
    • [math-ph/0209019]
    • P. Zinn-Justin and J.B. Zuber, On some integrals over the U(N) unitary group and their large-N limit, J. Phys. A 36 (2003) 3173 [math-ph/0209019].
    • (2003) J. Phys. A , vol.36 , pp. 3173
    • Zinn-Justin, P.1    Zuber, J.B.2
  • 43
    • 23044506208 scopus 로고    scopus 로고
    • N = 1 theories and a geometric master field
    • [hep-th/0211100]
    • R. Gopakumar, N = 1 theories and a geometric master field, J. High Energy Phys. 05 (2003) 033 [hep-th/0211100].
    • (2003) J. High Energy Phys. , vol.5 , pp. 033
    • Gopakumar, R.1
  • 44
    • 4243634249 scopus 로고
    • Exact superpotentials in four-dimensions
    • [hep-th/9403198]
    • K.A. Intriligator, R.G. Leigh and N. Seiberg, Exact superpotentials in four-dimensions, Phys. Rev. D 50 (1994) 1092 [hep-th/9403198].
    • (1994) Phys. Rev. D , vol.50 , pp. 1092
    • Intriligator, K.A.1    Leigh, R.G.2    Seiberg, N.3
  • 46
    • 0141545011 scopus 로고    scopus 로고
    • Perturbative analysis of gauged matrix models
    • [hep-th/0210238]
    • R. Dijkgraaf, S. Gukov, V.A. Kazakov and C. Vafa, Perturbative analysis of gauged matrix models, Phys. Rev. D 68 (2003) 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
  • 49
    • 0030569824 scopus 로고    scopus 로고
    • Supersymmetric Yang-Mills theory and integrable systems
    • [hep-th/9510101]
    • R. Donagi and E. Witten, Supersymmetric Yang-Mills theory and integrable systems, Nucl. Phys. B 460 (1996) 299 [hep-th/9510101].
    • (1996) Nucl. Phys. B , vol.460 , pp. 299
    • Donagi, R.1    Witten, E.2
  • 50
    • 0000531582 scopus 로고    scopus 로고
    • Five dimensional gauge theories and relativistic integrable systems
    • [hep-th/9609219]
    • N. Nekrasov, Five dimensional gauge theories and relativistic integrable systems, Nucl. Phys. B 531 (1998) 323 [hep-th/9609219].
    • (1998) Nucl. Phys. B , vol.531 , pp. 323
    • Nekrasov, N.1
  • 51
    • 23044512317 scopus 로고    scopus 로고
    • Five-dimensional gauge theories and quantum mechanical matrix models
    • [hep-th/0302165]
    • T.J. Hollowood, Five-dimensional gauge theories and quantum mechanical matrix models, J. High Energy Phys. 03 (2003) 039 [hep-th/0302165].
    • (2003) J. High Energy Phys. , vol.3 , pp. 039
    • Hollowood, T.J.1
  • 52
    • 0032561616 scopus 로고    scopus 로고
    • Solution of N = 2 gauge theories via compactification to three dimensions
    • [hep-th/9804069]
    • A. Kapustin, Solution of N = 2 gauge theories via compactification to three dimensions, Nucl. Phys. B 534 (1998) 531 [hep-th/9804069].
    • (1998) Nucl. Phys. B , vol.534 , pp. 531
    • Kapustin, A.1
  • 53
    • 0001827098 scopus 로고
    • The spectrum of difference operators and algebraic curves
    • P. van Moerbeke and D. Mumford, The spectrum of difference operators and algebraic curves, Acta Math. 143 (1979) 93.
    • (1979) Acta Math. , vol.143 , pp. 93
    • Van Moerbeke, P.1    Mumford, D.2
  • 54
    • 1242291956 scopus 로고    scopus 로고
    • Gluino-condensate (CIV-DV) prepotential from its whithamtime derivatives
    • [hep-th/0301136]
    • H. Itoyama and A. Morozov, Gluino-condensate (CIV-DV) prepotential from its whithamtime derivatives, Int. J. Mod. Phys. A 18 (2003) 5889 [hep-th/0301136].
    • (2003) Int. J. Mod. Phys. A , vol.18 , pp. 5889
    • Itoyama, H.1    Morozov, A.2
  • 55
    • 0037473847 scopus 로고    scopus 로고
    • Replica limit of the Toda lattice equation
    • [cond-mat/0209594]
    • K. Splittorff and J.J.M. Verbaarschot, Replica limit of the Toda lattice equation, Phys. Rev. Lett. 90 (2003) 041601 [cond-mat/0209594].
    • (2003) Phys. Rev. Lett. , vol.90 , pp. 041601
    • Splittorff, K.1    Verbaarschot, J.J.M.2


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