(0,4) dualities

Creators: Putrov, Pavel; Song, Jaewon; Yan, Wenbin

Abstract

We study a class of two-dimensional N=(0,4) quiver gauge theories that flow to superconformal field theories. We find dualities for the superconformal field theories similar to the 4d N=2 theories of class S, labelled by a Riemann surface C. The dual descriptions arise from various pair-of-pants decompositions, that involve an analog of the T_N theory. Especially, we find the superconformal indices of such theories can be written in terms of a topological field theory on C. We interpret this class of SCFTs as the ones coming from compactifying 6d N=(2,0) theory on CP^1×C. Moreover, some new dualities of (0,2) and (2,2) theories are also discussed.

Additional Information

© 2016 The Authors. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Article funded by SCOAP3. Received: January 1, 2016; Accepted: March 16, 2016; Published: March 29, 2016. We would like to thank J. Andersen, I. Bah, A. Gadde, S. Gukov, K. Intriligator, S. Kachru, Sj. Lee, D. Nemeschansky, D. Pei, V. Stylianou, D. Xie for useful discussions. The work of P.P. is supported in part by the Sherman Fairchild scholarship and by NSF Grant PHY-1050729. The work of J.S. is supported by the US Department of Energy under UCSD's contract de-sc0009919. The work of W.Y. is supported in part by the Sherman Fairchild scholarship and by DOE grant DE-FG02-92-ER40701. P.P. would like to thank Centre for Quantum Geometry of Moduli Spaces in Aarhus University for hospitality during the final stage of the work. J.S. would like to thank Enrico Fermi Institute at the University of Chicago for hospitality during the final stage of the work. Opinions and conclusions expressed here are those of the authors and do not necessarily reflect the views of funding agencies.

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