메뉴 건너뛰기




Volumn 6, Issue 1, 2002, Pages 409-425

Geometric construction of elliptic integrable systems and N = 1* superpotentials

Author keywords

Brane Dynamics in Gauge Theories; Integrable Equations in Physics; Solitons Monopoles and Instantons; Supersymmetry and Duality

Indexed keywords


EID: 23044466072     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2002/01/020     Document Type: Article
Times cited : (9)

References (50)
  • 1
    • 0011546968 scopus 로고
    • Classical integrable finite dimensional systems related to lie algebras
    • M.A. Olshanetsky and A.M. Perelomov, Classical integrable finite dimensional systems related to lie algebras, Phys. Rept. 71 (1981) 313.
    • (1981) Phys. Rept. , vol.71 , pp. 313
    • Olshanetsky, M.A.1    Perelomov, A.M.2
  • 2
    • 0033523574 scopus 로고    scopus 로고
    • The ruijsenaars-schneider model in the context of Seiberg- Witten theory
    • [hep-th/9902205]
    • H.W. Braden, A. Marshakov, A. Mironov and A. Morozov, The ruijsenaars-schneider model in the context of Seiberg- Witten theory, Nucl. Phys. B 558 (1999) 371 [hep-th/9902205].
    • (1999) Nucl. Phys. B , vol.558 , pp. 371
    • Braden, H.W.1    Marshakov, A.2    Mironov, A.3    Morozov, A.4
  • 3
    • 0007456353 scopus 로고
    • Quantum integrable systems related to lie algebras
    • M.A. Olshanetsky and A.M. Perelomov, Quantum integrable systems related to lie algebras, Phys. Rept. 94 (1983) 313.
    • (1983) Phys. Rept. , vol.94 , pp. 313
    • Olshanetsky, M.A.1    Perelomov, A.M.2
  • 4
    • 0345860250 scopus 로고
    • Elliptic solutions to the Kadomtsev-Petviashvili equation and integrable systems of particles
    • I. Krichever, Elliptic solutions to the Kadomtsev-Petviashvili equation and integrable systems of particles, Func. Anal. App. 14 (1980), n. 4, 282.
    • (1980) Func. Anal. App. , vol.14 , Issue.4 , pp. 282
    • Krichever, I.1
  • 5
    • 0032547608 scopus 로고    scopus 로고
    • Calogero-moser and toda systems for twisted and untwisted affine Lie algebras
    • [hep-th/9804125]
    • E. D'Hoker and D.H. Phong, Calogero-moser and toda systems for twisted and untwisted affine Lie algebras, Nucl. Phys. B 530 (1998) 611 [hep-th/9804125].
    • (1998) Nucl. Phys. B , vol.530 , pp. 611
    • D'Hoker, E.1    Phong, D.H.2
  • 6
    • 0000181470 scopus 로고    scopus 로고
    • Calogero-Moser models, 1. A new formulation
    • [hep-th/9805106]
    • A. J. Bordner, E. Corrigan and R. Sasaki, Calogero-Moser models, 1. A new formulation, Prog. Theor. Phys. 100 (1998) 1107 [hep-th/9805106].
    • (1998) Prog. Theor. Phys. , vol.100 , pp. 1107
    • Bordner, A.J.1    Corrigan, E.2    Sasaki, R.3
  • 7
    • 0033246764 scopus 로고    scopus 로고
    • Calogero-Moser models, 2. Symmetries and foldings
    • [hep-th/9809068]
    • A.J. Bordner, R. Sasaki and K. Takasaki, Calogero-Moser models, 2. Symmetries and foldings, Prog. Theor. Phys. 101 (1999) 487 [hep-th/9809068].
    • (1999) Prog. Theor. Phys. , vol.101 , pp. 487
    • Bordner, A.J.1    Sasaki, R.2    Takasaki, K.3
  • 8
    • 0033112593 scopus 로고    scopus 로고
    • Calogero-Moser models, 3. Elliptic potentials and twisting
    • [hep-th/9812232]
    • A.J. Bordner and R. Sasaki, Calogero-Moser models, 3. Elliptic potentials and twisting, Prog. Theor. Phys. 101 (1999) 799 [hep-th/9812232].
    • (1999) Prog. Theor. Phys. , vol.101 , pp. 799
    • Bordner, A.J.1    Sasaki, R.2
  • 9
    • 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
  • 11
    • 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
  • 12
    • 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
  • 14
    • 0030511131 scopus 로고    scopus 로고
    • From Dynkin diagram symmetries to fixed point structures
    • [hep-th/9506135]
    • J. Fuchs, B. Schellekens and C. Schweigert, From Dynkin diagram symmetries to fixed point structures, Commun. Math. Phys. 180 (1996) 39 [hep-th/9506135].
    • (1996) Commun. Math. Phys. , vol.180 , pp. 39
    • Fuchs, J.1    Schellekens, B.2    Schweigert, C.3
  • 15
    • 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
  • 16
    • 21844507339 scopus 로고
    • Central extensions of current groups in two-dimensions
    • [hep-th/9303047]
    • P.I. Etingof and I.B. Frenkel, Central extensions of current groups in two-dimensions, Commun. Math. Phys. 165 (1994) 429 [hep-th/9303047].
    • (1994) Commun. Math. Phys. , vol.165 , pp. 429
    • Etingof, P.I.1    Frenkel, I.B.2
  • 17
    • 84972556273 scopus 로고
    • Stable bundles and integrable systems
    • N. Hitchin, Stable bundles and integrable systems, Duke Math. J. 54 (1987) 91.
    • (1987) Duke Math. J. , vol.54 , pp. 91
    • Hitchin, N.1
  • 18
    • 0000709920 scopus 로고
    • Spectral curves and integrable systems
    • E. Markman, Spectral curves and integrable systems, Comp. Math. 93 (1994) 255.
    • (1994) Comp. Math. , vol.93 , pp. 255
    • Markman, E.1
  • 19
    • 0003774747 scopus 로고
    • Birkhäuser 1983, third edition, Cambridge University Press
    • V. Kac, Infinite-dimensional Lie algebras, Birkhäuser 1983, third edition, Cambridge University Press, 1990.
    • (1990) Infinite-dimensional Lie Algebras
    • Kac, V.1
  • 21
    • 0000965976 scopus 로고
    • Kac-Moody and Virasoro algebras in relation to quantum physics
    • P. Goddard and D.I. Olive, Kac-Moody and Virasoro algebras in relation to quantum physics, Int. J. Mod. Phys. A 1 (1986) 303.
    • (1986) Int. J. Mod. Phys. A , vol.1 , pp. 303
    • Goddard, P.1    Olive, D.I.2
  • 23
    • 13644277471 scopus 로고
    • Hamiltonian systems of Calogero type and two-dimensional Yang-Mills theory
    • [hep-th/9304047]
    • A. Gorsky and N. Nekrasov, Hamiltonian systems of Calogero type and two-dimensional Yang-Mills theory, Nucl. Phys. B 414 (1994) 213 [hep-th/9304047].
    • (1994) Nucl. Phys. B , vol.414 , pp. 213
    • Gorsky, A.1    Nekrasov, N.2
  • 24
    • 0001261061 scopus 로고
    • Orbital theory for affine Lie algebras
    • I. Frenkel, Orbital theory for affine Lie algebras, Invent. Math. 77 (1984) 301.
    • (1984) Invent. Math. , vol.77 , pp. 301
    • Frenkel, I.1
  • 25
    • 0033197082 scopus 로고    scopus 로고
    • Generalised Calogero-Moser models and universal Lax pair operators
    • [hep-th/9905011]
    • A.J. Bordner, E. Corrigan and R. Sasaki, Generalised Calogero-Moser models and universal Lax pair operators, Prog. Theor. Phys. 102 (1999) 499 [hep-th/9905011].
    • (1999) Prog. Theor. Phys. , vol.102 , pp. 499
    • Bordner, A.J.1    Corrigan, E.2    Sasaki, R.3
  • 26
    • 0001013361 scopus 로고    scopus 로고
    • Holomorphic bundles and many body systems
    • [hep-th/9503157]
    • N. Nekrasov, Holomorphic bundles and many body systems, Commun. Math. Phys. 180 (1996) 587 [hep-th/9503157].
    • (1996) Commun. Math. Phys. , vol.180 , pp. 587
    • Nekrasov, N.1
  • 27
    • 0035929536 scopus 로고    scopus 로고
    • Universal Lax pairs for spin Calogero-Moser models and spin exchange models
    • [hep-th/0105164]
    • V.I. Inozemtsev and R. Sasaki, Universal Lax pairs for spin Calogero-Moser models and spin exchange models, J. Phys. A 34 (2001) 7621 [hep-th/0105164].
    • (2001) J. Phys. A , vol.34 , pp. 7621
    • Inozemtsev, V.I.1    Sasaki, R.2
  • 28
    • 0031578215 scopus 로고    scopus 로고
    • On moduli spaces of flat connections with non-simply connected structure group
    • [hep-th/9611092]
    • C. Schweigert, On moduli spaces of flat connections with non-simply connected structure group, Nucl. Phys. B 492 (1997) 743 [hep-th/9611092].
    • (1997) Nucl. Phys. B , vol.492 , pp. 743
    • Schweigert, C.1
  • 30
    • 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
  • 31
    • 0002547407 scopus 로고    scopus 로고
    • Integrable structures in supersymmetric gauge and string theory
    • [hep-th/9510204]
    • E.J. Martinec, Integrable structures in supersymmetric gauge and string theory, Phys. Lett. B 367 (1996) 91 [hep-th/9510204].
    • (1996) Phys. Lett. B , vol.367 , pp. 91
    • Martinec, E.J.1
  • 32
    • 0032583037 scopus 로고    scopus 로고
    • Spectral curves for super-Yang-Mills with adjoint hypermultiplet for general Lie algebras
    • [hep-th/9804126]
    • E. D'Hoker and D.H. Phong, Spectral curves for super-Yang-Mills with adjoint hypermultiplet for general Lie algebras, Nucl. Phys. B 534 (1998) 697 [hep-th/9804126].
    • (1998) Nucl. Phys. B , vol.534 , pp. 697
    • D'Hoker, E.1    Phong, D.H.2
  • 33
    • 0030596980 scopus 로고    scopus 로고
    • Integrability and Seiberg- Witten theory: Curves and periods
    • [hep-th/9511126]
    • H. Itoyama and A. Morozov, Integrability and Seiberg- Witten theory: curves and periods, Nucl. Phys. B 477 (1996) 855 [hep-th/9511126].
    • (1996) Nucl. Phys. B , vol.477 , pp. 855
    • Itoyama, H.1    Morozov, A.2
  • 35
    • 33745024769 scopus 로고    scopus 로고
    • Orientifold planes, affine algebras and magnetic monopoles
    • [hep-th/0107153]
    • A. Hanany and J. Troost, Orientifold planes, affine algebras and magnetic monopoles, J. High Energy Phys. 08 (2001) 021 [hep-th/0107153].
    • (2001) J. High Energy Phys. , vol.8 , pp. 021
    • Hanany, A.1    Troost, J.2
  • 36
    • 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
  • 37
    • 0041692328 scopus 로고    scopus 로고
    • Vacuum states of N = 1* mass deformations of N = 4 and N = 2 conformal gauge theories and their brane interpretations
    • [hep-th/0103047]
    • S.G. Naculich, H.J. Schnitzer and N. Wyllard, Vacuum states of N = 1* mass deformations of N = 4 and N = 2 conformal gauge theories and their brane interpretations, Nucl. Phys. B 609 (2001) 283 [hep-th/0103047].
    • (2001) Nucl. Phys. B , vol.609 , pp. 283
    • Naculich, S.G.1    Schnitzer, H.J.2    Wyllard, N.3
  • 39
    • 0031590216 scopus 로고    scopus 로고
    • Multi-instantons, three-dimensional gauge theory and the Gauss-Bonnet-Chern theorem
    • [hep-th/9704197]
    • N. Dorey, V.V. Khoze and M.P. Mattis, Multi-instantons, three-dimensional gauge theory and the Gauss-Bonnet-Chern theorem, Nucl. Phys. B 502 (1997) 94 [hep-th/9704197].
    • (1997) Nucl. Phys. B , vol.502 , pp. 94
    • Dorey, N.1    Khoze, V.V.2    Mattis, M.P.3
  • 40
    • 0542418273 scopus 로고    scopus 로고
    • Instantons, three dimensional gauge theories and monopole moduli spaces
    • [hep-th/9710098]
    • C. Fraser and D. Tong, Instantons, three dimensional gauge theories and monopole moduli spaces, Phys. Rev. D 58 (1998) 085001 [hep-th/9710098].
    • (1998) Phys. Rev. D , vol.58 , pp. 085001
    • Fraser, C.1    Tong, D.2
  • 41
    • 33745024769 scopus 로고    scopus 로고
    • Orientifold planes, affine algebras and magnetic monopoles
    • [hep-th/0107153]
    • A. Hanany and J. Troost, Orientifold planes, affine algebras and magnetic monopoles, J. High Energy Phys. 08 (2001) 021 [hep-th/0107153].
    • (2001) J. High Energy Phys. , vol.8 , pp. 021
    • Hanany, A.1    Troost, J.2
  • 42
    • 0000129365 scopus 로고    scopus 로고
    • The Higgs branch of impurity theories
    • [hep-th/9804027]
    • A. Kapustin and S. Sethi, The Higgs branch of impurity theories, Adv. Theor. Math. Phys. 2 (1998) 571 [hep-th/9804027].
    • (1998) Adv. Theor. Math. Phys. , vol.2 , pp. 571
    • Kapustin, A.1    Sethi, S.2
  • 43
    • 0031565518 scopus 로고    scopus 로고
    • Type-IIB superstrings, BPS monopoles and three-dimensional gauge dynamics
    • [hep-th/9611230]
    • A. Hanany and E. Witten, Type-IIB superstrings, BPS monopoles and three-dimensional gauge dynamics, Nucl. Phys. B 492 (1997) 152 [hep-th/9611230].
    • (1997) Nucl. Phys. B , vol.492 , pp. 152
    • Hanany, A.1    Witten, E.2
  • 44
    • 0031234520 scopus 로고    scopus 로고
    • Solutions of four-dimensional field theories via M-theory
    • [hep-th/9703166]
    • E. Witten, Solutions of four-dimensional field theories via M-theory, Nucl. Phys. B 500 (1997) 3 [hep-th/9703166].
    • (1997) Nucl. Phys. B , vol.500 , pp. 3
    • Witten, E.1
  • 45
    • 0032563530 scopus 로고    scopus 로고
    • Towards mass deformed N = 4 SO(N) and Sp(K) theories from brane configurations
    • [hep-th/9803054]
    • A.M. Uranga, Towards mass deformed N = 4 SO(N) and Sp(K) theories from brane configurations, Nucl. Phys. B 526 (1998) 241 [hep-th/9803054].
    • (1998) Nucl. Phys. B , vol.526 , pp. 241
    • Uranga, A.M.1
  • 47
    • 33645953676 scopus 로고    scopus 로고
    • Issues on orientifolds: On the brane construction of gauge theories with SO(2N) global symmetry
    • [hep-th/9903242]
    • A. Hanany and A. Zaffaroni, Issues on orientifolds: on the brane construction of gauge theories with SO(2N) global symmetry, J. High Energy Phys. 07 (1999) 009 [hep-th/9903242].
    • (1999) J. High Energy Phys. , vol.7 , pp. 009
    • Hanany, A.1    Zaffaroni, A.2
  • 48
    • 0033591535 scopus 로고    scopus 로고
    • Solutions to the reflection equation and integrable systems for N = 2 SQCD with classical groups
    • [hep-th/9902030]
    • A. Gorsky and A. Mironov, Solutions to the reflection equation and integrable systems for N = 2 SQCD with classical groups, Nucl. Phys. B 550 (1999) 513 [hep-th/9902030].
    • (1999) Nucl. Phys. B , vol.550 , pp. 513
    • Gorsky, A.1    Mironov, A.2
  • 49
    • 6944255651 scopus 로고    scopus 로고
    • Duality in integrable systems and gauge theories
    • [hep-th/9906235]
    • V. Fock, A. Gorsky, N. Nekrasov and V. Rubtsov, Duality in integrable systems and gauge theories, J. High Energy Phys. 07 (2000) 028 [hep-th/9906235].
    • (2000) J. High Energy Phys. , vol.7 , pp. 028
    • Fock, V.1    Gorsky, A.2    Nekrasov, N.3    Rubtsov, V.4
  • 50
    • 0033234857 scopus 로고    scopus 로고
    • Calogero-Moser models, 4. Limits to Toda theory
    • [hep-th/9907102]
    • S.P. Khastgir, R. Sasaki and K. Takasaki, Calogero-Moser models, 4. Limits to Toda theory, Prog. Theor. Phys. 102 (1999) 749 [hep-th/9907102].
    • (1999) Prog. Theor. Phys. , vol.102 , pp. 749
    • Khastgir, S.P.1    Sasaki, R.2    Takasaki, K.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.