The Nekrasov Conjecture for Toric Surfaces
Algebraic Geometry
2009-12-08 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
The Nekrasov conjecture predicts a relation between the partition function for N=2 supersymmetric Yang-Mills theory and the Seiberg-Witten prepotential. For instantons on R^4, the conjecture was proved, independently and using different methods, by Nekrasov-Okounkov, Nakajima-Yoshioka, and Braverman-Etingof. We prove a generalized version of the conjecture for instantons on noncompact toric surfaces.
Cite
@article{arxiv.0808.0884,
title = {The Nekrasov Conjecture for Toric Surfaces},
author = {Elizabeth Gasparim and Chiu-Chu Melissa Liu},
journal= {arXiv preprint arXiv:0808.0884},
year = {2009}
}
Comments
38 pages; typos corrected, references added, minor changes (e.g. minor change of convention in Definition 5.13, 5.19, 6.5)