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(2,2) Superconformal Bootstrap in Two Dimensions

Lin, Ying-Hsuan and Shao, Shu-Heng and Wang, Yifan and Yin, Xi (2017) (2,2) Superconformal Bootstrap in Two Dimensions. Journal of High Energy Physics, 2017 (5). Art. No. 112. ISSN 1126-6708. doi:10.1007/JHEP05(2017)112.

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We find a simple relation between two-dimensional BPS N=2 superconformal blocks and bosonic Virasoro conformal blocks, which allows us to analyze the crossing equations for BPS 4-point functions in unitary (2, 2) superconformal theories numerically with semidefinite programming. We constrain gaps in the non-BPS spectrum through the operator product expansion of BPS operators, in ways that depend on the moduli of exactly marginal deformations through chiral ring coefficients. In some cases, our bounds on the spectral gaps are observed to be saturated by free theories, by N=2 Liouville theory, and by certain Landau-Ginzburg models.

Item Type:Article
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URLURL TypeDescription Paper
Shao, Shu-Heng0000-0003-1294-2786
Wang, Yifan0000-0001-9965-9777
Additional Information:© 2017 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: April 8, 2017; Accepted: May 15, 2017; Published: May 19, 2017. We would like to thank Kazuo Hosomichi, Zohar Komargodski, Juan Maldacena, David Poland for discussions, and David Simmons-Duffin for correcting a reference. We are grateful to the Tata Institute of Fundamental Research, and the organizers of the workshops Higher Spin Theory and Duality, MIAPP, Munich, Germany, Conformal Field Theories and Renormalization Group Flows in Dimensions d > 2, Galileo Galilei Institute for Theoretical Physics, Florence, Italy, NCTS Summer Workshop on Strings and Quantum Field Theory, National Tsing Hua University, Hsinchu, Taiwan, and Strings 2016, YMSC, Tsinghua University, Beijing, China, for their hospitality during the course of this work. This work is supported by a Simons Investigator Award from the Simons Foundation, and in part by DOE grant DE-FG02-91ER40654. YL is supported by the Sherman Fairchild Foundation and the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award Number DE-SC0011632. YL would also like to thank the hospitality the Berkeley Center for Theoretical Physics during the course of this work. SHS is supported by the National Science Foundation grant PHY-1606531. YW is supported by the NSF grant PHY-1620059 and by the Simons Foundation Grant #488653. The numerical computations in this work are performed using the SDPB package [50] on the Odyssey cluster supported by the FAS Division of Science, Research Computing Group at Harvard University.
Group:Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
Simons Foundation488653
Department of Energy (DOE)DE-FG02-91ER40654
Sherman Fairchild FoundationUNSPECIFIED
Department of Energy (DOE)DE-SC0011632
Subject Keywords:Conformal Field Theory; Extended Supersymmetry; Field Theories in Lower Dimensions
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Issue or Number:5
Record Number:CaltechAUTHORS:20161024-200858716
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Official Citation:Lin, YH., Shao, SH., Wang, Y. et al. J. High Energ. Phys. (2017) 2017: 112. doi:10.1007/JHEP05(2017)112
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:71435
Deposited By: Joy Painter
Deposited On:25 Oct 2016 16:11
Last Modified:11 Nov 2021 04:45

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