Published May 2013
| Submitted
Journal Article
Open
Scheme dependence of instanton counting in ALE spaces
- Creators
- Ito, Yuto
- Maruyoshi, Kazunobu
- Okuda, Takuya
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.
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.Attached Files
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Additional details
- Eprint ID
- 41290
- Resolver ID
- CaltechAUTHORS:20130912-111932032
- JSPS Research Fellowship for Young Scientists
- JSPS Postdoctoral Fellowship for Research Abroad
- 23740168
- Grant-in-Aid for Young Scientists (B)
- 20340048
- Grant-in-Aid for Scientific Research (B)
- Created
-
2013-09-12Created from EPrint's datestamp field
- Updated
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2021-11-10Created from EPrint's last_modified field
- Caltech groups
- Caltech Theory