HOME    |    BROWSE    |    SEARCH    |    SUBSCRIPTION   |    SUBMISSION    |    REGISTRATION

Quick Search:
Author: Title/Abstract: Vol./No: Page:
PTP Online Top > Volume 127 (2012) > Number 2
| Next Article >

Prog. Theor. Phys. Vol. 127 No. 2 (2012) pp. 271-285

[ Full Text PDF : FREE ACCESS (351K) ]

β-Ensembles for Toric Orbifold Partition Function

Taro Kimura1,2,*

1Department of Basic Science, University of Tokyo, Tokyo 153-8902, Japan
2Mathematical Physics Lab., RIKEN Nishina Center, Wako 351-0198, Japan

(Received September 9, 2011; Revised December 9, 2011)

Abstract:

We investigate combinatorics of the instanton partition function for the generic four dimensional toric orbifolds. It is shown that the orbifold projection can be implemented by taking the inhomogeneous root of unity limit of the q-deformed partition function. The asymptotics of the combinatorial partition function yields the multi-matrix model for a generic β.

Subject Index : 135, 183
URL : http://ptp.ipap.jp/link?PTP/127/271/
DOI : 10.1143/PTP.127.271


*E-mail: kimura@dice.c.u-tokyo.ac.jp

[ Full Text PDF : FREE ACCESS (351K) ] Citation:

References:

  1. N. Nekrasov, Adv. Theor. Math. Phys. 7 (2004), 831, hep-th/0206161[e-print arXiv].
  2. N. Nekrasov and A. Okounkov, hep-th/0306238[e-print arXiv].
  3. N. Seiberg and E. Witten, Nucl. Phys. B 426 (1994), 19, [CrossRef] hep-th/9407087[e-print arXiv].
  4. N. Seiberg and E. Witten, Nucl. Phys. B 431 (1994), 484, [CrossRef] hep-th/9408099[e-print arXiv].
  5. L. F. Alday, D. Gaiotto and Y. Tachikawa, Lett. Math. Phys. 91 (2010), 167, arXiv:0906.3219[e-print arXiv].
  6. N. Wyllard, J. High Energy Phys. 11 (2009), 002, [CrossRef] arXiv:0907.2189[e-print arXiv].
  7. A. Mironov and A. Morozov, Nucl. Phys. B 825 (2010), 1, [CrossRef] arXiv:0908.2569[e-print arXiv].
  8. D. Gaiotto, arXiv:0908.0307[e-print arXiv].
  9. A. Marshakov, A. Mironov and A. Morozov, Phys. Lett. B 682 (2009), 125, [CrossRef] arXiv:0909.2052[e-print arXiv].
  10. M. Taki, J. High Energy Phys. 05 (2011), 038, [Springer] arXiv:0912.4789[e-print arXiv].
  11. V. Belavin and B. Feigin, J. High Energy Phys. 07 (2011), 079, [Springer] arXiv:1105.5800[e-print arXiv].
  12. T. Nishioka and Y. Tachikawa, Phys. Rev. D 84 (2011), 046009, [APS] arXiv:1106.1172[e-print arXiv].
  13. G. Bonelli, K. Maruyoshi and A. Tanzini, J. High Energy Phys. 08 (2011), 056, [Springer] arXiv:1106.2505[e-print arXiv].
  14. A. Belavin, V. Belavin and M. Bershtein, J. High Energy Phys. 09 (2011), 117, [CrossRef] arXiv:1106.4001[e-print arXiv].
  15. G. Bonelli, K. Maruyoshi and A. Tanzini, arXiv:1107.4609[e-print arXiv].
  16. T. Eguchi and A. J. Hanson, Phys. Lett. B 74 (1978), 249[CrossRef].
  17. G. Gibbons and S. Hawking, Phys. Lett. B 78 (1978), 430[CrossRef].
  18. P. B. Kronheimer, J. Diff. Geom. 29 (1989), 665.
  19. H. Nakajima, Invent. Math. 102 (1990), 267.
  20. P. B. Kronheimer and H. Nakajima, Math. Ann. 288 (1990), 263.
  21. F. Fucito, J. F. Morales and R. Poghossian, Nucl. Phys. B 703 (2004), 518, [CrossRef] hep-th/0406243[e-print arXiv].
  22. T. Nishinaka and S. Yamaguchi, arXiv:1107.4762[e-print arXiv].
  23. T. Nishinaka and Y. Yoshida, arXiv:1108.4326[e-print arXiv].
  24. H. Kanno and Y. Tachikawa, J. High Energy Phys. 06 (2011), 119, [CrossRef] arXiv:1105.0357[e-print arXiv].
  25. T. Kimura and M. Nitta, J. High Energy Phys. 09 (2011), 118, [CrossRef] arXiv:1108.3563[e-print arXiv].
  26. T. Kimura, J. High Energy Phys. 09 (2011), 015, [Springer] arXiv:1105.6091[e-print arXiv].
  27. F. Fucito, J. F. Morales and R. Poghossian, J. High Energy Phys. 12 (2006), 073, [CrossRef] hep-th/0610154[e-print arXiv].
  28. L. Griguolo, D. Seminara, R. J. Szabo and A. Tanzini, Nucl. Phys. B 772 (2007), 1, [CrossRef] hep-th/0610155[e-print arXiv].
  29. A. Brini, L. Griguolo, D. Seminara and A. Tanzini, J. Geom. Phys. 60 (2010), 417, arXiv:0809.1610[e-print arXiv].
  30. D. Gang, arXiv:0912.4664[e-print arXiv].
  31. F. Benini, T. Nishioka and M. Yamazaki, arXiv:1109.0283[e-print arXiv].
  32. D. Uglov, Commun. Math. Phys. 193 (1998), 663, hep-th/9702020[e-print arXiv].
  33. Y. Kuramoto and Y. Kato, Dynamics of One-Dimensional Quantum Systems: Inverse-Square Interaction Models, (Cambridge University Press, 2009).
  34. R. Dijkgraaf and C. Vafa, arXiv:0909.2453[e-print arXiv].
  35. A. Klemm and P. Sułkowski, Nucl. Phys. B 819 (2009), 400, [CrossRef] arXiv:0810.4944[e-print arXiv].
  36. P. Sułkowski, Phys. Rev. D 80 (2009), 086006, [APS] arXiv:0904.3064[e-print arXiv].
  37. P. Sułkowski, J. High Energy Phys. 04 (2010), 063, [Springer] arXiv:0912.5476[e-print arXiv].
  38. I. G. Macdonald, Symmetric Functions and Hall Polynomials, 2nd ed. (Oxford University Press, 1997).
  39. W. Barth, C. Peters and A. Van de Ven, Compact Complex Surfaces (Springer-Verlag, 1984).
  40. H. Nakajima and K. Yoshioka, math/0311058[e-print arXiv].
  41. E. Gasparim and C.-M. Liu, Commun. Math. Phys. 293 (2010), 661, [CrossRef] arXiv:0808.0884[e-print arXiv].
  42. U. Bruzzo, R. Poghossian and A. Tanzini, arXiv:0809.0155[e-print arXiv].
  43. R. Dijkgraaf and P. Sułkowski, J. High Energy Phys. 03 (2008), 013, [CrossRef] arXiv:0712.1427[e-print arXiv].
  44. F. D. M. Haldane, Phys. Rev. Lett. 67 (1991), 937[APS].
  45. B. Eynard, J. Stat. Mech. 07 (2008), P07023, arXiv:0804.0381[e-print arXiv].
  46. J. Shiraishi, H. Kubo, H. Awata and S. Odake, Lett. Math. Phys. 38 (1996), 33, q-alg/9507034[e-print arXiv].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 128 No. 5 (2012) pp. 829-843 :
    Spinless Basis for Spin-Singlet FQH States
    Taro Kimura

[PTP HOME] [BROWSE] [SEARCH] [SUBSCRIPTION] [SUBMISSION] [REGISTRATION]

Copyright © Progress of Theoretical Physics 2013 All rights reserved.