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Integrability from 2d N=(2,2) Dualities

Yamazaki, Masahito and Yan, Wenbin (2015) Integrability from 2d N=(2,2) Dualities. Journal of Physics A: Mathematical and Theoretical, 48 (39). Art. No. 394001. ISSN 1751-8113. doi:10.1088/1751-8113/48/39/394001.

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We study integrable models in the context of the recently discovered Gauge/YBE correspondence, where the Yang–Baxter equation (YBE) is promoted to a duality between two supersymmetric gauge theories. We study flavored elliptic genus of 2d N = (2, 2) quiver gauge theories, which are defined from statistical lattices regarded as quiver diagrams. Our R-matrices are written in terms of theta functions and simplify considerably when the gauge groups at the quiver nodes are Abelian. We also discuss the modularity properties of the R-matrix, reduction of 2d index to 1d Witten index, and string theory realizations of our theories.

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Additional Information:© 2015 IOP Publishing Ltd. Received 24 April 2015, revised 4 July 2015; Accepted for publication 27 July 2015; Published 1 September 2015. We would like to thank the Simons Center for geometry and physics and the 2014 Simons workshop for hospitality, where this work was initiated. We would like to thank Ibou Bah, Jacque Distler, Abhijt Gadde, Kentaro Hori, Ken Intriligator, Bei Jia, Andy Neitzke, Jaewon Song and Cumrun Vafa for stimulating discussion. The contents of this talk were presented by WY at USC (Oct. 2014), UT Austin (Nov. 2014), Caltech (Dec. 2014), and UCSD (Feb. 2015), and by MY at IPMU (Nov. 2014) and KIAS (Dec. 2014). The work of WY is supported in part by the S Fairchild scholarship, by DOE grant DE-FG02-92-ER40701, and by the W Burke Institute for theoretical physics. The research of MY is supported in part by the World Premier International Research Center Initiative (MEXT, Japan), by the JSPS Program for Advancing Strategic International Networks to Accelerate the Circulation of Talented Researchers, by JSPS KAKENHI Grant Number 15K17634, and by the Institute for Advanced Study.
Group:Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
Sherman Fairchild FoundationUNSPECIFIED
Department of Energy (DOE)DE-FG02-92-ER40701
Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
World Premier International Research Center Initiative (MEXT, Japan)UNSPECIFIED
Japan Society for the Promotion of Science (JSPS)15K17634
Institute for Advanced StudyUNSPECIFIED
Subject Keywords:2d supersymmetry, susy field theory, Yang–Baxter equation
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Issue or Number:39
Record Number:CaltechAUTHORS:20150814-094229707
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:59532
Deposited By: Joy Painter
Deposited On:14 Aug 2015 16:53
Last Modified:12 Jul 2022 19:45

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