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(0, 2) trialities

Gadde, Abhijit and Gukov, Sergei and Putrov, Pavel (2014) (0, 2) trialities. Journal of High Energy Physics, 2014 (3). Art. No. 76. ISSN 1126-6708. doi:10.1007/JHEP03(2014)076.

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Motivated by the connection between 4-manifolds and 2d N = (0, 2) theories, we study the dynamics of a fairly large class of 2d N = (0, 2) gauge theories. We see that physics of such theories is very rich, much as the physics of 4d N = 1 theories. We discover a new type of duality that is very reminiscent of the 4d Seiberg duality. Surprisingly, the new 2d duality is an operation of order three: it is IR equivalence of three different theories and, as such, is actually a triality. We also consider quiver theories and study their triality webs. Given a quiver graph, we find that supersymmetry is dynamically broken unless the ranks of the gauge groups and flavor groups satisfy stringent inequalities. In fact, for most of the graphs these inequalities have no solutions. This supports the folklore theorem that generic 2d N = (0, 2) theories break supersymmetry dynamically.

Item Type:Article
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URLURL TypeDescription Paper DOIArticle
Gukov, Sergei0000-0002-9486-1762
Additional Information:© 2014 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. Published for SISSA by Springer. Received: December 25, 2013; Accepted: February 23, 2014; Published: March 17, 2014. We would like to thank F. Benini, N. Bobev, N. Seiberg, E. Sharpe, M. Shifman, A. Vain shtein and E. Witten for useful discussions. The work of A.G. is supported in part by the John A. McCone fellowship and by DOE Grant DE-FG02-92-ER40701. The work of S.G. is supported in part by DOE Grant DE-FG03-92-ER40701FG-02. The work of P.P. is supported in part by the Sherman Fairchild scholarship and by NSF Grant PHY-1050729. We would like to thank the Aspen Center for Physics and the 2013 Simons Workshop in Mathematics and Physics for hospitality during various states of this work. The Aspen Center for Physics is supported in part by the National Science Foundation under Grant No. PHYS-1066293. Opinions and conclusions expressed here are those of the authors and do not necessarily reflect the views of funding agencies.
Group:Caltech Theory
Funding AgencyGrant Number
John A. McCone FellowshipUNSPECIFIED
Department of Energy (DOE)DE-FG02-92-ER40701
Department of Energy (DOE)DE-FG03-92-ER40701FG-02
Sherman Fairchild FoundationUNSPECIFIED
Subject Keywords:Supersymmetric gauge theory, Supersymmetry and Duality, Supersymmetry Breaking
Issue or Number:3
Record Number:CaltechAUTHORS:20140516-074913803
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:45783
Deposited By: Tony Diaz
Deposited On:16 May 2014 20:10
Last Modified:10 Nov 2021 17:16

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