Abstract
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 \( \mathbb{R} \) 4 × T 2. We take the thermodynamic limit of the Nekrasov-type formula following the example of Nekrasov-Okounkov and reproduce the Seiberg-Witten description of the prepotential. The Seiberg-Witten curve obtained directly from the Nekrasov-type formula is of genus greater than one. We find that this curve is transformed into the known elliptic curve by a simple map. We consider the cases in which the low energy theory has E 8 , E 7 ⊕ A 1 or E 6 ⊕ A 2 as a global symmetry.
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ArXiv ePrint: 1312.1050
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Ishii, T., Sakai, K. Thermodynamic limit of the Nekrasov-type formula for E-string theory. J. High Energ. Phys. 2014, 87 (2014). https://doi.org/10.1007/JHEP02(2014)087
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DOI: https://doi.org/10.1007/JHEP02(2014)087