메뉴 건너뛰기




Volumn 2011, Issue 10, 2011, Pages

Quantization of integrable systems and a 2d/4d duality

Author keywords

Bethe ansatz; Supersymmetric gauge theory; Supersymmetry and duality

Indexed keywords


EID: 81155151358     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP10(2011)077     Document Type: Article
Times cited : (94)

References (61)
  • 1
    • 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
  • 2
    • 0010022959 scopus 로고
    • Phases of N = 2 theories in two dimensions
    • [hep-th/9301042]
    • E. Witten, Phases of N = 2 theories in two dimensions, Nucl. Phys. B 403 (1993) 159 [hep-th/9301042]
    • (1993) Nucl. Phys. B , vol.403 , pp. 159
    • Witten, E.1
  • 3
    • 70349127263 scopus 로고    scopus 로고
    • Supersymmetric vacua and bethe ansatz
    • [arXiv:0901.4744]
    • N.A. Nekrasov and S.L. Shatashvili, Supersymmetric vacua and Bethe ansatz, Nucl. Phys. Proc. Suppl. 192-193 (2009) 91 [arXiv:0901.4744]
    • (2009) Nucl. Phys. Proc. Suppl. , vol.192-193 , pp. 91
    • Nekrasov, N.A.1    Shatashvili, S.L.2
  • 4
    • 67650701429 scopus 로고    scopus 로고
    • Quantum integrability and supersymmetric vacua
    • [arXiv:0901.4748]
    • N.A. Nekrasov and S.L. Shatashvili, Quantum integrability and supersymmetric vacua, Prog. Theor. Phys. Suppl. 177 (2009) 105 [arXiv:0901.4748]
    • (2009) Prog. Theor. Phys. Suppl. , vol.177 , pp. 105
    • Nekrasov, N.A.1    Shatashvili, S.L.2
  • 6
    • 79953327657 scopus 로고    scopus 로고
    • On AGT relations with surface operator insertion and stationary limit of beta-ensembles
    • [arXiv:1011.4491]
    • A. Marshakov, A. Mironov and A. Morozov, On AGT Relations with Surface Operator Insertion and Stationary Limit of Beta-Ensembles, J. Geom. Phys. 61 (2011) 1203 [arXiv:1011.4491]
    • (2011) J. Geom. Phys. , vol.61 , pp. 1203
    • Marshakov, A.1    Mironov, A.2    Morozov, A.3
  • 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
    • 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
  • 10
    • 0030569824 scopus 로고    scopus 로고
    • Supersymmetric yang-mills theory, 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
  • 11
  • 12
    • 0032571645 scopus 로고    scopus 로고
    • Multiscale N = 2 SUSY field theories, integrable systems and their stringy/brane origin. i
    • [hep-th/9707120]
    • A. Gorsky, S. Gukov and A. Mironov, Multiscale N = 2 SUSY field theories, integrable systems and their stringy/brane origin. I, Nucl. Phys. B 517 (1998) 409 [hep-th/9707120]
    • (1998) Nucl. Phys. B , vol.517 , pp. 409
    • Gorsky, A.1    Gukov, S.2    Mironov, A.3
  • 13
    • 0032507528 scopus 로고    scopus 로고
    • SUSY field theories, integrable systems and their stringy/brane origin. II
    • [hep-th/9710239]
    • A. Gorsky, S. Gukov and A. Mironov, SUSY field theories, integrable systems and their stringy/brane origin. II, Nucl. Phys. B 518 (1998) 689 [hep-th/9710239]
    • (1998) Nucl. Phys. B , vol.518 , pp. 689
    • Gorsky, A.1    Gukov, S.2    Mironov, A.3
  • 14
    • 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
  • 15
    • 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
  • 17
    • 37649033054 scopus 로고    scopus 로고
    • Non-Abelian string junctions as confined monopoles
    • [hep-th/0403149]
    • M. Shifman and A. Yung, Non-Abelian string junctions as confined monopoles, Phys. Rev. D 70 (2004) 045004 [hep-th/0403149]
    • (2004) Phys. Rev. D , vol.70 , pp. 045004
    • Shifman, M.1    Yung, A.2
  • 18
    • 23044469599 scopus 로고    scopus 로고
    • Vortex strings and four-dimensional gauge dynamics
    • [hep-th/0403158]
    • A. Hanany and D. Tong, Vortex strings and four-dimensional gauge dynamics, JHEP 04 (2004) 066 [hep-th/0403158]
    • (2004) JHEP , vol.4 , pp. 066
    • Hanany, A.1    Tong, D.2
  • 19
    • 23144445259 scopus 로고    scopus 로고
    • Vortices, instantons and branes
    • [hep-th/0306150]
    • A. Hanany and D. Tong, Vortices, instantons and branes, JHEP 07 (2003) 037 [hep-th/0306150]
    • (2003) JHEP , vol.7 , pp. 037
    • Hanany, A.1    Tong, D.2
  • 21
    • 34948871446 scopus 로고    scopus 로고
    • Supersymmetric solitons, how they help us understand non-abelian gauge theories
    • [hep-th/0703267]
    • M. Shifman and A. Yung, Supersymmetric Solitons and How They Help Us Understand Non-Abelian Gauge Theories, Rev. Mod. Phys. 79 (2007) 1139 [hep-th/0703267]
    • (2007) Rev. Mod. Phys. , vol.79 , pp. 1139
    • Shifman, M.1    Yung, A.2
  • 22
    • 33745039750 scopus 로고    scopus 로고
    • Non-Abelian semilocal strings in N = 2 supersymmetric QCD
    • [hep-th/0603134]
    • M. Shifman and A. Yung, Non-Abelian semilocal strings in N = 2 supersymmetric QCD, Phys. Rev. D 73 (2006) 125012 [hep-th/0603134]
    • (2006) Phys. Rev. D , vol.73 , pp. 125012
    • Shifman, M.1    Yung, A.2
  • 23
    • 79960824732 scopus 로고    scopus 로고
    • Effective world-sheet theory for non-abelian semilocal strings in N = 2 supersymmetric QCD
    • [arXiv:1104.2077]
    • M. Shifman, W. Vinci and A. Yung, Effective World-Sheet Theory for Non-Abelian Semilocal Strings in N = 2 Supersymmetric QCD, Phys. Rev. D 83 (2011) 125017 [arXiv:1104.2077]
    • (2011) Phys. Rev. D , vol.83 , pp. 125017
    • Shifman, M.1    Vinci, W.2    Yung, A.3
  • 24
    • 34547594323 scopus 로고    scopus 로고
    • Aspects of non-Abelian gauge dynamics in two-dimensional N = (2, 2) theories
    • [hep-th/0609032]
    • K. Hori and D. Tong, Aspects of non-Abelian gauge dynamics in two-dimensional N = (2, 2) theories, JHEP 05 (2007) 079 [hep-th/0609032]
    • (2007) JHEP , vol.5 , pp. 079
    • Hori, K.1    Tong, D.2
  • 25
    • 33947701605 scopus 로고    scopus 로고
    • Extended Seiberg-Witten theory and integrable hierarchy
    • [hep-th/0612019]
    • A. Marshakov and N. Nekrasov, Extended Seiberg-Witten theory and integrable hierarchy, JHEP 01 (2007) 104 [hep-th/0612019]
    • (2007) JHEP , vol.1 , pp. 104
    • Marshakov, A.1    Nekrasov, N.2
  • 26
    • 0010781459 scopus 로고
    • More about the massive schwinger model
    • S.R. Coleman, More About the Massive Schwinger Model, Ann. Phys. 101 (1976) 239
    • (1976) Ann. Phys. , vol.101 , pp. 239
    • Coleman, S.R.1
  • 27
    • 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
  • 28
    • 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
  • 31
    • 23044434618 scopus 로고    scopus 로고
    • Separation of variables for the quantum SL(2,R) spin chain
    • [hep-th/0210216]
    • S.E. Derkachov, G.P. Korchemsky and A.N. Manashov, Separation of variables for the quantum SL(2,R) spin chain, JHEP 07 (2003) 047 [hep-th/0210216]
    • (2003) JHEP , vol.7 , pp. 047
    • Derkachov, S.E.1    Korchemsky, G.P.2    Manashov, A.N.3
  • 32
    • 0011653729 scopus 로고
    • High-energy QCD as a completely integrable model
    • [hep-th/9404173]
    • L.D. Faddeev and G.P. Korchemsky, High-energy QCD as a completely integrable model, Phys. Lett. B 342 (1995) 311 [hep-th/9404173]
    • (1995) Phys. Lett. B , vol.342 , pp. 311
    • Faddeev, L.D.1    Korchemsky, G.P.2
  • 33
    • 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
  • 34
    • 77954986114 scopus 로고    scopus 로고
    • Loop and surface operators in N = 2 gauge theory and Liouville modular geometry
    • [arXiv:0909.0945]
    • L.F. Alday, D. Gaiotto, S. Gukov, Y. Tachikawa and H. Verlinde, Loop and surface operators in N = 2 gauge theory and Liouville modular geometry, JHEP 01 (2010) 113 [arXiv:0909.0945]
    • (2010) JHEP , vol.1 , pp. 113
    • Alday, L.F.1    Gaiotto, D.2    Gukov, S.3    Tachikawa, Y.4    Verlinde, H.5
  • 38
    • 79551491388 scopus 로고    scopus 로고
    • On the gauge theory/geometry correspondence
    • [hep-th/9811131]
    • R. Gopakumar and C. Vafa, On the gauge theory / geometry correspondence, Adv. Theor. Math. Phys. 3 (1999) 1415 [hep-th/9811131]
    • (1999) Adv. Theor. Math. Phys. , vol.3 , pp. 1415
    • Gopakumar, R.1    Vafa, C.2
  • 40
    • 33645907541 scopus 로고    scopus 로고
    • The BPS spectra of two-dimensional supersymmetric gauge theories with twisted mass terms
    • [hep-th/9806056]
    • N. Dorey, The BPS spectra of two-dimensional supersymmetric gauge theories with twisted mass terms, JHEP 11 (1998) 005 [hep-th/9806056]
    • (1998) JHEP , vol.11 , pp. 005
    • Dorey, N.1
  • 41
    • 33646057338 scopus 로고    scopus 로고
    • The BPS spectra of gauge theories in two and four imensions
    • [hep-th/9902134]
    • N. Dorey, T.J. Hollowood and D. Tong, The BPS spectra of gauge theories in two and four imensions, JHEP 05 (1999) 006 [hep-th/9902134]
    • (1999) JHEP , vol.5 , pp. 006
    • Dorey, N.1    Hollowood, T.J.2    Tong, D.3
  • 42
    • 77954945335 scopus 로고    scopus 로고
    • A Study of Wall-Crossing: Flavored Kinks in D = 2 QED
    • [arXiv:0911.4726]
    • S. Lee and P. Yi, A Study of Wall-Crossing: Flavored Kinks in D = 2 QED, JHEP 03 (2010) 055 [arXiv:0911.4726]
    • (2010) JHEP , vol.3 , pp. 055
    • Lee, S.1    Yi, P.2
  • 43
    • 0043014494 scopus 로고    scopus 로고
    • Gauge/string duality for QCD conformal operators
    • [hep-th/0304028]
    • A.V. Belitsky, A.S. Gorsky and G.P. Korchemsky, Gauge/string duality for QCD conformal operators, Nucl. Phys. B 667 (2003) 3 [hep-th/0304028]
    • (2003) Nucl. Phys. B , vol.667 , pp. 3
    • Belitsky, A.V.1    Gorsky, A.S.2    Korchemsky, G.P.3
  • 45
    • 33745150423 scopus 로고    scopus 로고
    • Logarithmic scaling in gauge/string correspondence
    • [hep-th/0601112]
    • A.V. Belitsky, A.S. Gorsky and G.P. Korchemsky, Logarithmic scaling in gauge/string correspondence, Nucl. Phys. B 748 (2006) 24 [hep-th/0601112]
    • (2006) Nucl. Phys. B , vol.748 , pp. 24
    • Belitsky, A.V.1    Gorsky, A.S.2    Korchemsky, G.P.3
  • 46
    • 77954900966 scopus 로고    scopus 로고
    • Nekrasov functions, exact bohr-sommerfeld integrals
    • [arXiv:0910.5670]
    • A. Mironov and A. Morozov, Nekrasov Functions and Exact Bohr-Sommerfeld Integrals, JHEP 04 (2010) 040 [arXiv:0910.5670]
    • (2010) JHEP , vol.4 , pp. 040
    • Mironov, A.1    Morozov, A.2
  • 47
    • 77951921452 scopus 로고    scopus 로고
    • Nekrasov functions from exact BS periods: The case of SU(N)
    • [arXiv:0911.2396]
    • A. Mironov and A. Morozov, Nekrasov Functions from Exact BS Periods: the Case of SU(N), J. Phys. A 43 (2010) 195401 [arXiv:0911.2396]
    • (2010) J. Phys. A , vol.43 , pp. 195401
    • Mironov, A.1    Morozov, A.2
  • 48
    • 77954660913 scopus 로고    scopus 로고
    • Matrix model conjecture for exact bs periods and nekrasov functions
    • [arXiv:0911.5721]
    • A. Mironov, A. Morozov and S. Shakirov, Matrix Model Conjecture for Exact BS Periods and Nekrasov Functions, JHEP 02 (2010) 030 [arXiv:0911.5721]
    • (2010) JHEP , vol.2 , pp. 030
    • Mironov, A.1    Morozov, A.2    Shakirov, S.3
  • 49
    • 0031578201 scopus 로고    scopus 로고
    • On N = 2 supersymmetric QCD with 4 flavors
    • [hep-th/9611016]
    • N. Dorey, V.V. Khoze and M.P. Mattis, On N = 2 supersymmetric QCD with 4 flavors, Nucl. Phys. B 492 (1997) 607 [hep-th/9611016]
    • (1997) Nucl. Phys. B , vol.492 , pp. 607
    • Dorey, N.1    Khoze, V.V.2    Mattis, M.P.3
  • 51
    • 79960183312 scopus 로고    scopus 로고
    • Nekrasov prepotential with fundamental matter from the quantum spin chain
    • [arXiv:1103.4843]
    • Y. Zenkevich, Nekrasov prepotential with fundamental matter from the quantum spin chain, Phys. Lett. B 701 (2011) 630 [arXiv:1103.4843]
    • (2011) Phys. Lett. B , vol.701 , pp. 630
    • Zenkevich, Y.1
  • 52
    • 77956648237 scopus 로고    scopus 로고
    • Deformed prepotential, quantum integrable system and liouville field theory
    • [arXiv:1006.4505]
    • K. Maruyoshi and M. Taki, Deformed Prepotential, Quantum Integrable System and Liouville Field Theory, Nucl. Phys. B 841 (2010) 388 [arXiv:1006.4505]
    • (2010) Nucl. Phys. B , vol.841 , pp. 388
    • Maruyoshi, K.1    Taki, M.2
  • 53
    • 77954936446 scopus 로고    scopus 로고
    • Matrix models for β-ensembles from Nekrasov partition functions
    • [arXiv:0912.5476]
    • P. Sulkowski, Matrix models for β-ensembles from Nekrasov partition functions, JHEP 04 (2010) 063 [arXiv:0912.5476]
    • (2010) JHEP , vol.4 , pp. 063
    • Sulkowski, P.1
  • 54
    • 70350780322 scopus 로고    scopus 로고
    • The refined topological vertex
    • [hep-th/0701156]
    • A. Iqbal, C. Kozcaz and C. Vafa, The refined topological vertex, JHEP 10 (2009) 069 [hep-th/0701156]
    • (2009) JHEP , vol.10 , pp. 069
    • Iqbal, A.1    Kozcaz, C.2    Vafa, C.3
  • 55
    • 77955891582 scopus 로고    scopus 로고
    • A & B model approaches to surface operators and Toda theories
    • [arXiv:1004.2025]
    • 55] C. Kozcaz, S. Pasquetti and N. Wyllard, A & B model approaches to surface operators and Toda theories, JHEP 08 (2010) 042 [arXiv:1004.2025]
    • (2010) JHEP , vol.8 , pp. 042
    • Kozcaz, C.1    Pasquetti, S.2    Wyllard, N.3
  • 56
    • 80053162163 scopus 로고    scopus 로고
    • Surface operator, bubbling calabi-yau and AGT relation
    • [arXiv:1007.2524]
    • M. Taki, Surface Operator, Bubbling Calabi-Yau and AGT Relation, JHEP 07 (2011) 047 [arXiv:1007.2524]
    • (2011) JHEP , vol.7 , pp. 047
    • Taki, M.1
  • 57
    • 0032473044 scopus 로고    scopus 로고
    • Branes and N = 2 theories in two dimensions
    • [hep-th/9707192]
    • A. Hanany and K. Hori, Branes and N = 2 theories in two dimensions, Nucl. Phys. B 513 (1998) 119 [hep-th/9707192]
    • (1998) Nucl. Phys. B , vol.513 , pp. 119
    • Hanany, A.1    Hori, K.2
  • 58
    • 0038035086 scopus 로고
    • Unified approach to thermodynamic Bethe Ansatz and finite size corrections for lattice models and field theories
    • [hep-th/9407117]
    • C. Destri and H.J. De Vega, Unified approach to thermodynamic Bethe Ansatz and finite size corrections for lattice models and field theories, Nucl. Phys. B 438 (1995) 413 [hep-th/9407117]
    • (1995) Nucl. Phys. B , vol.438 , pp. 413
    • Destri, C.1    De Vega, H.J.2
  • 59
    • 80053148801 scopus 로고    scopus 로고
    • Deforming SW curve
    • [arXiv:1006.4822]
    • R. Poghossian, Deforming SW curve, JHEP 04 (2011) 033 [arXiv:1006.4822]
    • (2011) JHEP , vol.4 , pp. 033
    • Poghossian, R.1
  • 60
    • 80053158353 scopus 로고    scopus 로고
    • Gauge theories on -backgrounds from non commutative Seiberg-Witten curves
    • [arXiv:1103.4495]
    • F. Fucito, J.F. Morales, D.R. Pacifici and R. Poghossian, Gauge theories on -backgrounds from non commutative Seiberg-Witten curves, JHEP 05 (2011) 098 [arXiv:1103.4495]
    • (2011) JHEP , vol.5 , pp. 098
    • Fucito, F.1    Morales, J.F.2    Pacifici, D.R.3    Poghossian, R.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.