The Nekrasov Conjecture for Toric Surfaces

Elizabeth Gasparim, Chiu-Chu Melissa Liu

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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 and Nakajima-Yoshioka. We prove a generalized version of the conjecture for instantons on noncompact toric surfaces.

Original languageEnglish
Pages (from-to)661-700
Number of pages40
JournalCommunications in Mathematical Physics
Issue number3
Publication statusPublished - Feb 2010

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