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. https://resolver.caltech.edu/CaltechAUTHORS:20150814-094229707

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Abstract

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.

Item Type:

Article

Related URLs:

URL	URL Type	Description
http://arxiv.org/abs/1504.05540	arXiv	Discussion Paper
http://dx.doi.org/10.1088/1751-8113/48/39/394001	DOI	Article
http://iopscience.iop.org/article/10.1088/1751-8113/48/39/394001/meta	Publisher	Article

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

Funders:

Funding Agency	Grant Number
Sherman Fairchild Foundation	UNSPECIFIED
Department of Energy (DOE)	DE-FG02-92-ER40701
Walter Burke Institute for Theoretical Physics, Caltech	UNSPECIFIED
World Premier International Research Center Initiative (MEXT, Japan)	UNSPECIFIED
Japan Society for the Promotion of Science (JSPS)	15K17634
Institute for Advanced Study	UNSPECIFIED

Subject Keywords:

2d supersymmetry, susy field theory, Yang–Baxter equation

Other Numbering System:

Other Numbering System Name	Other Numbering System ID
CALT-TH	2015-022

Issue or Number:

DOI:

10.1088/1751-8113/48/39/394001

Record Number:

CaltechAUTHORS:20150814-094229707

Persistent URL:

https://resolver.caltech.edu/CaltechAUTHORS:20150814-094229707

Usage Policy:

No commercial reproduction, distribution, display or performance rights in this work are provided.

ID Code:

59532

Collection:

CaltechAUTHORS

Deposited By:

Joy Painter

Deposited On:

14 Aug 2015 16:53

Last Modified:

12 Jul 2022 19:45

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