Spherical Hecke algebra in the Nekrasov-Shatashvili limit
详细信息    查看全文
  • 作者:Jean-Emile Bourgine (1)

    1. Asia Pacific Center for Theoretical Physics (APCTP)
    ; Pohang ; Gyeongbuk ; 790-784 ; Republic of Korea
  • 关键词:Supersymmetric gauge theory ; Duality in Gauge Field Theories ; Quantum Groups ; Bethe Ansatz
  • 刊名:Journal of High Energy Physics
  • 出版年:2015
  • 出版时间:January 2015
  • 年:2015
  • 卷:2015
  • 期:1
  • 全文大小:737 KB
  • 参考文献:1. O. Schiffmann and E. Vasserot, / Cherednik algebras, W algebras and the equivariant cohomology of the moduli space of instantons on \( {\mathbb{A}}^2 \) / , arXiv:1202.2756 / .
    2. S. Kanno, Y. Matsuo and H. Zhang, / Extended Conformal Symmetry and Recursion Formulae for Nekrasov Partition Function, JHEP 08 (2013) 028 [arXiv:1306.1523] [INSPIRE]. CrossRef
    3. 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] [INSPIRE]. CrossRef
    4. N. Wyllard, / A / N-1 / conformal Toda field theory correlation functions from conformal N = 2 SU( / N) / quiver gauge theories, / JHEP 11 (2009) 002 [arXiv:0907.2189] [INSPIRE]. CrossRef
    5. A. Mironov, A. Morozov and S. Shakirov, / A direct proof of AGT conjecture at 尾 =1, / JHEP 02 (2011) 067 [arXiv:1012.3137] [INSPIRE]. CrossRef
    6. H. Zhang and Y. Matsuo, / Selberg Integral and SU( / N) / AGT Conjecture, JHEP 12 (2011) 106 [arXiv:1110.5255] [INSPIRE]. CrossRef
    7. A. Mironov, A. Morozov, S. Shakirov and A. Smirnov, / Proving AGT conjecture as HS duality: extension to five dimensions, Nucl. Phys. B 855 (2012) 128 [arXiv:1105.0948] [INSPIRE]. CrossRef
    8. A. Morozov and A. Smirnov, / Towards the Proof of AGT Relations with the Help of the Generalized Jack Polynomials, Lett. Math. Phys. 104 (2014) 585 [arXiv:1307.2576] [INSPIRE]. CrossRef
    9. S. Mironov, A. Morozov and Y. Zenkevich, / Generalized Jack polynomials and the AGT relations for the SU(3) / group, JETP Lett. 99 (2014) 109 [arXiv:1312.5732] [INSPIRE]. CrossRef
    10. V.S. Dotsenko and V.A. Fateev, / Conformal Algebra and Multipoint Correlation Functions in Two-Dimensional Statistical Models, Nucl. Phys. B 240 (1984) 312 [INSPIRE]. CrossRef
    11. V.S. Dotsenko and V.A. Fateev, / Four Point Correlation Functions and the Operator Algebra in the Two-Dimensional Conformal Invariant Theories with the Central Charge c < 1, / Nucl. Phys. B 251 (1985) 691 [INSPIRE]. CrossRef
    12. A. Smirnov, / Polynomials associated with fixed points on the instanton moduli space, arXiv:1404.5304 [INSPIRE].
    13. V.A. Fateev and A.V. Litvinov, / On AGT conjecture, JHEP 02 (2010) 014 [arXiv:0912.0504] [INSPIRE]. CrossRef
    14. V.A. Alba, V.A. Fateev, A.V. Litvinov and G.M. Tarnopolskiy, / On combinatorial expansion of the conformal blocks arising from AGT conjecture, Lett. Math. Phys. 98 (2011) 33 [arXiv:1012.1312] [INSPIRE]. CrossRef
    15. V.A. Fateev and A.V. Litvinov, / Integrable structure, W-symmetry and AGT relation, JHEP 01 (2012) 051 [arXiv:1109.4042] [INSPIRE]. CrossRef
    16. S. Kanno, Y. Matsuo and S. Shiba, / W 1+鈭?/sub> / algebra as a symmetry behind AGT relation, Phys. Rev. D 84 (2011) 026007 [arXiv:1105.1667] [INSPIRE].
    17. A.A. Belavin, M.A. Bershtein, B.L. Feigin, A.V. Litvinov and G.M. Tarnopolsky, / Instanton moduli spaces and bases in coset conformal field theory, Commun. Math. Phys. 319 (2013) 269 [arXiv:1111.2803] [INSPIRE]. CrossRef
    18. H. Awata, Y. Matsuo, S. Odake and J. Shiraishi, / Collective field theory, Calogero-Sutherland model and generalized matrix models, Phys. Lett. B 347 (1995) 49 [hep-th/9411053] [ in SPIRE]. CrossRef
    19. H. Awata, Y. Matsuo, S. Odake and J. Shiraishi, / Excited states of Calogero-Sutherland model and singular vectors of the W / N / algebra, Nucl. Phys. B 449 (1995) 347 [hep-th/9503043] [ in SPIRE]. CrossRef
    20. D. Bernard, M. Gaudin, F.D.M. Haldane and V. Pasquier, / Yang-Baxter equation in long range interacting system, J. Phys. A 26 (1993) 5219 [INSPIRE].
    21. V. Pasquier, / A Lecture on the Calogero-Sutherland models, Lect. Notes Phys. 436 (1994) 36 [hep-th/9405104] [ in SPIRE]. CrossRef
    22. I. Cherednik, / Double Affine Hecke Algebras, Cambridge University Press, (2005).
    23. A. Smirnov, / On the Instanton R-matrix, arXiv:1302.0799 [INSPIRE].
    24. D. Maulik and A. Okounkov, / Quantum Groups and Quantum Cohomology, arXiv:1211.1287 [INSPIRE].
    25. N.A. Nekrasov and S.L. Shatashvili, / Quantization of Integrable Systems and Four Dimensional Gauge Theories, arXiv:0908.4052 [INSPIRE].
    26. A.B. Zamolodchikov, / Thermodynamic Bethe Ansatz in Relativistic Models. Scaling Three State Potts and Lee-yang Models, / Nucl. Phys. B 342 (1990) 695 [INSPIRE]. CrossRef
    27. 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] [ in SPIRE]. CrossRef
    28. C. Meneghelli and G. Yang, / Mayer-Cluster Expansion of Instanton Partition Functions and Thermodynamic Bethe Ansatz, JHEP 05 (2014) 112 [arXiv:1312.4537] [INSPIRE]. CrossRef
    29. J.-E. Bourgine, / Confinement and Mayer cluster expansions, Int. J. Mod. Phys. A 29 (2014) 1450077 [arXiv:1402.1626] [INSPIRE]. CrossRef
    30. R. Poghossian, / Deforming SW curve, JHEP 04 (2011) 033 [arXiv:1006.4822] [INSPIRE]. CrossRef
    31. F. Fucito, J.F. Morales, D.R. Pacifici and R. Poghossian, / Gauge theories on D-backgrounds from non commutative Seiberg-Witten curves, JHEP 05 (2011) 098 [arXiv:1103.4495] [INSPIRE]. CrossRef
    32. F. Fucito, J.F. Morales and D.R. Pacifici, / Deformed Seiberg-Witten Curves for ADE Quivers, JHEP 01 (2013) 091 [arXiv:1210.3580] [INSPIRE]. CrossRef
    33. N. Nekrasov, V. Pestun and S. Shatashvili, / Quantum geometry and quiver gauge theories, arXiv:1312.6689 [INSPIRE].
    34. M. Gaudin, / La fonction d鈥檕nde de Bethe, Collection du CEA, (1983).
    35. N. Guay, / Cherednik Algebras and Yangians, Int. Math. Res. Notices (2005) 3551.
    36. E. Emsiz, E.M. Opdam and J.V. Stokman, / Periodic integrable systems with delta-potentials, Commun. Math. Phys. 264 (2006) 191 [math/0503034] [ in SPIRE]. CrossRef
    37. R. Stanley, / Some Combinatorial Properties of Jack Symmetric Functions, Adv. Math. 77 (1989) 76. CrossRef
    38. H.-Y. Chen, T.J. Hollowood and P. Zhao, / A 5d/3d duality from relativistic integrable system, JHEP 07 (2012) 139 [arXiv:1205.4230] [INSPIRE]. CrossRef
    39. N. Nekrasov and A. Okounkov, / Seiberg-Witten theory and random partitions, hep-th/0306238 [ in SPIRE].
    40. F. Ferrari and M. Piatek, / On a singular Fredholm-type integral equation arising in N = 2 / super Yang-Mills theories, Phys. Lett. B 718 (2013) 1142 [arXiv:1202.5135] [INSPIRE]. CrossRef
    41. M. Piatek and A.R. Pietrykowski, / Classical irregular block, \( \mathcal{N}=2 \) / pure gauge theory and Mathieu equation, JHEP 12 (2014) 032 [arXiv:1407.0305] [INSPIRE]. CrossRef
    42. M. Piatek, / Classical torus conformal block, N = 2* / twisted superpotential and the accessory parameter of Lame equation, / JHEP 03 (2014) 124 [arXiv:1309.7672] [INSPIRE]. CrossRef
    43. J.-E. Bourgine, / Large-N techniques for Nekrasov partition functions and AGT conjecture, JHEP 05 (2013) 047 [arXiv:1212.4972] [INSPIRE]. CrossRef
    44. J. Teschner, / Liouville theory revisited, Class. Quant. Grav. 18 (2001) R153 [hep-th/0104158] [INSPIRE]. CrossRef
    45. C.-N. Yang and C.P. Yang, / Thermodynamics of one-dimensional system of bosons with repulsive delta function interaction, J. Math. Phys. 10 (1969) 1115 [INSPIRE]. CrossRef
    46. N.A. Nekrasov, / Seiberg-Witten prepotential from instanton counting, Adv. Theor. Math. Phys. 7 (2004) 831 [hep-th/0306211] [ in SPIRE]. CrossRef
    47. S. Shadchin, / Cubic curves from instanton counting, JHEP 03 (2006) 046 [hep-th/0511132] [ in SPIRE]. CrossRef
    48. J.-E. Bourgine, / Notes on Mayer Expansions and Matrix Models, Nucl. Phys. B 880 (2014) 476 [arXiv:1310.3566] [INSPIRE]. CrossRef
    49. D. Gaiotto, / Asymptotically free \( \mathcal{N}=2 \) / theories and irregular conformal blocks, / J. Phys. Conf. Ser. 462 (2013) 012014 [arXiv:0908.0307] [INSPIRE]. CrossRef
    50. Y. Matsuo, C. Rim and H. Zhang, / Construction of Gaiotto states with fundamental multiplets through Degenerate DAHA, JHEP 09 (2014) 028 [arXiv:1405.3141] [INSPIRE]. CrossRef
    51. H.-Y. Chen, N. Dorey, T.J. Hollowood and S. Lee, / A new 2d/4d duality via integrability, JHEP 09 (2011) 040 [arXiv:1104.3021] [INSPIRE]. CrossRef
    52. J. Mayer and M.G. Mayer, / Statistical Mechanics, Wiley, New York U.S.A. (1940).
    53. J. Mayer and E. Montroll, / Molecular distributions, J. Chem. Phys. 9 (1941) 2. CrossRef
    54. H. Andersen, / Cluster Methods in Equilibrium Statistical Mechanics of Fluids, Mod. Theor. Chem. 5 (1977) 1.
  • 刊物类别:Physics and Astronomy
  • 刊物主题:Physics
    Elementary Particles and Quantum Field Theory
    Quantum Field Theories, String Theory
  • 出版者:Springer Berlin / Heidelberg
  • ISSN:1029-8479
文摘

© 2004-2018 中国地质图书馆版权所有 京ICP备05064691号 京公网安备11010802017129号

地址:北京市海淀区学院路29号 邮编:100083

电话:办公室:(+86 10)66554848;文献借阅、咨询服务、科技查新:66554700