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Scheme dependence of instanton counting in ALE spaces

Ito, Yuto and Maruyoshi, Kazunobu and Okuda, Takuya (2013) Scheme dependence of instanton counting in ALE spaces. Journal of High Energy Physics, 2013 (5). Art. No.45. ISSN 1126-6708. doi:10.1007/JHEP05(2013)045.

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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.

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Additional Information:© 2013 Springer. Published for SISSA by Springer. Received: April 1, 2013. Accepted: April 24, 2013. Published: May 9, 2013. We thank Giulio Bonelli, Yuji Tachikawa, Masato Taki, Alessandro Tanzini, and Futoshi Yagi for valuable discussions and comments. The research of Y.I. is supported in part by a JSPS Research Fellowship for Young Scientists. The research of K.M. is supported in part by a JSPS Postdoctoral Fellowship for Research Abroad. T.O. is supported in part by the Grant-in-Aid for Young Scientists (B) No. 23740168 and by the Grant-in-Aid for Scientific Research (B) No. 20340048.
Group:Caltech Theory
Funding AgencyGrant Number
JSPS Research Fellowship for Young ScientistsUNSPECIFIED
JSPS Postdoctoral Fellowship for Research AbroadUNSPECIFIED
Grant-in-Aid for Young Scientists (B)23740168
Grant-in-Aid for Scientific Research (B)20340048
Subject Keywords:Supersymmetric gauge theory, Solitons Monopoles and Instantons, Topological Field Theories
Issue or Number:5
Record Number:CaltechAUTHORS:20130912-111932032
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Official Citation: Scheme dependence of instanton counting in ALE spaces Yuto Ito, Kazunobu Maruyoshi, Takuya Okuda ARticle:45
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:41290
Deposited By: Ruth Sustaita
Deposited On:12 Sep 2013 18:41
Last Modified:10 Nov 2021 04:28

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