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Exact Solutions of 2d Supersymmetric Gauge Theories

Gadde, Abhijit and Gukov, Sergei and Putrov, Pavel (2019) Exact Solutions of 2d Supersymmetric Gauge Theories. Journal of High Energy Physics, 2019 (11). Art. No. 174. ISSN 1126-6708. doi:10.1007/JHEP11(2019)174.

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We study dynamics of two-dimensional non-abelian gauge theories with N = (0, 2) supersymmetry that include N = (0, 2) supersymmetric QCD and its generaliza- tions. In particular, we present the phase diagram of N = (0, 2) SQCD and determine its massive and low-energy spectrum. We find that the theory has no mass gap, a nearly constant distribution of massive states, and lots of massless states that in general flow to an interacting CFT. For a range of parameters where supersymmetry is not dynamically broken at low energies, we give a complete description of the low-energy physics in terms of 2d N = (0, 2) SCFTs using anomaly matching and modular invariance. Our construction provides a vast landscape of new N = (0, 2) SCFTs which, for small values of the central charge, could be used for building novel heterotic models with no moduli and, for large values of the central charge, could be dual to AdS₃ string vacua.

Item Type:Article
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URLURL TypeDescription Paper
Gukov, Sergei0000-0002-9486-1762
Additional Information:© 2019 The Author(s). 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: October 20, 2019; Accepted: November 2, 2019; Published: November 29, 2019. We would like to thank D. Gaiotto, B. Jia, I. Melnikov, V. Schomerus, and E. Sharpe for useful discussions. A.G. would also like to thank the Kavli Institute for Theoretical Physics for providing a hospitable and enjoyable work environment during the late stages of this project. 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. Opinions and conclusions expressed here are those of the authors and do not necessarily reflect the views of funding agencies.
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
Issue or Number:11
Record Number:CaltechAUTHORS:20160503-085246813
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Official Citation:Gadde, A., Gukov, S. & Putrov, P. J. High Energ. Phys. (2019) 2019: 174.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:66609
Deposited By: Tony Diaz
Deposited On:03 May 2016 18:32
Last Modified:11 Nov 2021 00:00

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