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Scheme dependence of instanton counting in ALE spaces

By Yuto Ito, Kazunobu Maruyoshi and Takuya Okuda

Abstract

There have been two distinct schemes studied in the literature for instanton counting in A_(p−1) asymptotically locally Euclidean (ALE) spaces. We point out that the two schemes — namely the counting of orbifolded instantons and instanton counting in the resolved space — lead in general to different results for partition functions. We illustrate this observation in the case of N=2 U(N) gauge theory with 2N flavors on the A_(p−1) ALE space. We propose simple relations between the instanton partition functions given by the two schemes and test them by explicit calculations

Publisher: Springer
Year: 2013
OAI identifier: oai:authors.library.caltech.edu:41290
Provided by: Caltech Authors

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