Fetching the paper…

Reading the bibliography…

Generalized matrix models and AGT correspondence at all genera · Around

2010

Generalized matrix models and AGT correspondence at all genera

Bonelli, Giulio, Maruyoshi, Kazunobu, Tanzini, Alessandro et al.

Original
PDF
Post on X

Understand

We study generalized matrix models corresponding to n-point Virasoro conformal blocks on Riemann surfaces with arbitrary genus g.

Upon AGT correspondence, these describe four dimensional N=2 SU(2)^{n+3g-3} gauge theories with generalized quiver diagrams.
We obtain the generalized matrix models from the perturbative evaluation of the Liouville correlation functions and verify the consistency of the description with respect to degenerations of the Riemann surface.
Moreover, we derive the Seiberg-Witten curve for the N=2 gauge theory as the spectral curve of the generalized matrix model, thus providing a check of AGT correspondence at all genera.

Built on

E. P. Verlinde and H. L. Verlinde, Phys. Lett. B 192
1987
Earlier work this paper cites.
C. Vafa, Phys. Lett. B 199
1987
Earlier work this paper cites.
R. Dijkgraaf, E. P. Verlinde and H. L. Verlinde, Commun. Math. Phys. 115
1988
Earlier work this paper cites.
E. D’Hoker and D. H. Phong, Rev. Mod. Phys. 60
1988
Earlier work this paper cites.
J. Bagger and M. Goulian, Nucl. Phys. B 330
1990
Earlier work this paper cites.
Farkas, H. M. and Kra, I., “Riemann Surfaces” Springer-Verlag (1991)
1991
Earlier work this paper cites.
A. Klemm, W. Lerche, P. Mayr, C. Vafa and N. P. Warner, Nucl. Phys. B 477
1996
Earlier work this paper cites.
R. Donagi and E. Witten, Nucl. Phys. B 460
1996
Earlier work this paper cites.
E. Witten, Nucl. Phys. B 500
1997
Earlier work this paper cites.

Similar

N. A. Nekrasov, Adv. Theor. Math. Phys. 7
2004
Cited alongside, same era.
B. Eynard and N. Orantin, arXiv:math-ph/0702045; B. Eynard and O. Marchal, JHEP 0903
Original
2009
Cited alongside, same era.
L. F. Alday, D. Gaiotto and Y. Tachikawa, Lett. Math. Phys. 91
Original
2010
Cited alongside, same era.
D. Gaiotto, arXiv:0908.0307 [hep-th]; A. Marshakov, A. Mironov and A. Morozov, Phys. Lett. B 682
Original
2010
Cited alongside, same era.
V. Alba and A. Morozov, Nucl. Phys. B 840
Original
2010
Cited alongside, same era.

Then

G. Bonelli and A. Tanzini, Phys. Lett. B 691
Original
2010
Closest in time.
H. Itoyama, K. Maruyoshi and T. Oota, Prog. Theor. Phys. 123
Original
2010
Closest in time.
A. Mironov, A. Morozov and S. Shakirov, JHEP 1002
Original
2010
Closest in time.
M. Fujita, Y. Hatsuda and T. S. Tai, JHEP 1003
Original
2010
Closest in time.
T. Eguchi and K. Maruyoshi, JHEP 1002
Original
2010
Closest in time.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

N. Wyllard, JHEP 0911

2010

Cited alongside, same era.

L. F. Alday, D. Gaiotto, S. Gukov, Y. Tachikawa and H. Verlinde, JHEP 1001

2010

Cited alongside, same era.

N. Drukker, J. Gomis, T. Okuda and J. Teschner, JHEP 1002

2010

Cited alongside, same era.

K. Maruyoshi and M. Taki, Nucl. Phys. B 841

2010

Cited alongside, same era.

D. Gaiotto, arXiv:0904.2715 [hep-th]

Cited in the paper.

R. Dijkgraaf and C. Vafa, arXiv:0909.2453 [hep-th]

Cited in the paper.

R. Schiappa and N. Wyllard, arXiv:0911.5337 [hep-th];

Cited in the paper.

T. Eguchi and K. Maruyoshi, JHEP 1007

2010

Closest in time.

N. A. Nekrasov and S. L. Shatashvili, arXiv:0908.4052 [hep-th]; A. Mironov and A. Morozov, JHEP 1004

2010

Closest in time.

M. Goulian and M. Li, Phys. Rev. Lett. 66

2051

Closest in time.