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We give a proof of the Nekrasov-type formula proposed by one of the authors for the Seiberg-Witten prepotential for the E-string theory on R^4 x T^2.
N. Seiberg and E. Witten, “Electric-Magnetic Duality, Monopole Condensation, And Confinement in
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N. Seiberg and E. Witten, “Monopoles, Duality and Chiral Symmetry Breaking in N=2 Supersymmetric QCD,” Nucl. Phys. B 431 (1994) 484–550 [hep-th/9408099]
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N. Seiberg and E. Witten, “Comments on String Dynamics in Six Dimensions,” Nucl. Phys. B 471 (1996) 121–134 [hep-th/9603003]
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A. Klemm, P. Mayr and C. Vafa, “BPS States of Exceptional Non-Critical Strings,” in
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J. A. Minahan, D. Nemeschansky, C. Vafa and N. P. Warner, “
1998
Cited alongside, same era.
J. A. Minahan, D. Nemeschansky and N. P. Warner, “Partition Functions for BPS States of the Non-Critical
1998
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T. Eguchi and K. Sakai, “Seiberg–Witten Curve for the
2002
Cited alongside, same era.
T. Eguchi and K. Sakai, “Seiberg–Witten Curve for
2004
Cited alongside, same era.
N. A. Nekrasov, “Seiberg-Witten Prepotential From Instanton Counting,” Adv. Theor. Math. Phys. 7 (2004) 831–864 [hep-th/0206161]
2004
Cited alongside, same era.
H. Nakajima and K. Yoshioka, “Instanton counting on blowup. 1.,” Invent. Math. 162 (2005) 313 [math/0306198 [math-ag]]
2005
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T. J. Hollowood, A. Iqbal and C. Vafa, “Matrix models, geometric engineering and elliptic genera,” JHEP 0803 (2008) 069 [hep-th/0310272]
2008
Later among the works it cites.
F. Benini, S. Benvenuti and Y. Tachikawa, “Webs of Five-Branes and
2009
Later among the works it cites.
2012
Later among the works it cites.
2012
Later among the works it cites.
M. -X. Huang, A. Klemm and M. Poretschkin, “Refined stable pair invariants for E-, M- and
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K. Sakai, “Topological string amplitudes for the local half K3 surface,” arXiv:1111.3967 [hep-th]
Cited in the paper.
M. Alim and E. Scheidegger, “Topological Strings on Elliptic Fibrations,” arXiv:1205.1784 [hep-th]
Cited in the paper.
Cited in the paper.
B. Haghighat, A. Iqbal, C. Kozcaz, G. Lockhart and C. Vafa, “M-Strings,” arXiv:1305.6322 [hep-th]
Cited in the paper.
N. Nekrasov and A. Okounkov, “Seiberg-Witten theory and random partitions,” hep-th/0306238
Cited in the paper.
Cited in the paper.
2013
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