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Quantum Wall Crossing in N=2 Gauge Theories

Dimofte, Tudor and Gukov, Sergei and Soibelman, Yan (2011) Quantum Wall Crossing in N=2 Gauge Theories. Letters in Mathematical Physics, 95 (1). pp. 1-25. ISSN 0377-9017 . http://resolver.caltech.edu/CaltechAUTHORS:20110316-093514240

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Abstract

We study refined and motivic wall-crossing formulas in N = 2 supersymmetric gauge theories with SU(2) gauge group and N _f < 4 matter hypermultiplets in the fundamental representation. Such gauge theories provide an excellent testing ground for the conjecture that “refined = motivic.”


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1007/s11005-010-0437-xDOIArticle
http://www.springerlink.com/content/p104685724u0k262/PublisherArticle
http://arxiv.org/abs/0912.1346arXivDiscussion Paper
Additional Information:© Springer 2010. Received: 2 July 2010. Accepted: 20 September 2010. Published online: 16 October 2010. We would like to thank D. Jafferis, M. Kontsevich, A. Neitzke, and M. Reineke for very useful discussions, and S. Deser and C. Silberstein for providing important clues. The work of SG is supported in part by DOE Grant DE-FG03-92-ER40701, in part by NSF Grant PHY-0757647, and in part by the Alfred P. Sloan Foundation. Y.S. is grateful to IHES for excellent research conditions. His work was partially supported by an NSF grant. Opinions and conclusions expressed here are those of the authors and do not necessarily reflect the views of funding agencies.
Group:Caltech Theory
Funders:
Funding AgencyGrant Number
Department of Energy (DOE)DE-FG03-92-ER40701
NSFPHY-0757647
Alfred P. Sloan FoundationUNSPECIFIED
Subject Keywords:motivic Donaldson-Thomas invariants; BPS invariants; wall-crossing; supersymmetric gauge theory
Classification Code:MSC (2000): 81T30, 14N35, 14E15, 05A18
Record Number:CaltechAUTHORS:20110316-093514240
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20110316-093514240
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:22923
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:16 Mar 2011 18:41
Last Modified:23 Aug 2016 09:59

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