Thermodynamic limit of the Nekrasov-type formula for E-string theory
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 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.
- Publication:
-
Journal of High Energy Physics
- Pub Date:
- February 2014
- DOI:
- 10.1007/JHEP02(2014)087
- arXiv:
- arXiv:1312.1050
- Bibcode:
- 2014JHEP...02..087I
- Keywords:
-
- Supersymmetric gauge theory;
- Matrix Models;
- Field Theories in Higher Dimensions;
- High Energy Physics - Theory;
- Mathematics - Algebraic Geometry
- E-Print:
- 19 pages. v2: title and footnote 1 changed, typos corrected, version to appear in JHEP