Published May 2017
| Published + Submitted
Journal Article
Open
(2,2) Superconformal Bootstrap in Two Dimensions
- Creators
- Lin, Ying-Hsuan
-
Shao, Shu-Heng
-
Wang, Yifan
- Yin, Xi
Abstract
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.
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.Attached Files
Published - art_3A10.1007_2FJHEP05_282017_29112.pdf
Submitted - 1610.05371v1.pdf
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art_3A10.1007_2FJHEP05_282017_29112.pdf
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Additional details
- Eprint ID
- 71435
- Resolver ID
- CaltechAUTHORS:20161024-200858716
- Simons Foundation
- 488653
- Department of Energy (DOE)
- DE-FG02-91ER40654
- Sherman Fairchild Foundation
- Department of Energy (DOE)
- DE-SC0011632
- NSF
- PHY-1606531
- NSF
- PHY-1620059
- SCOAP3
- Created
-
2016-10-25Created from EPrint's datestamp field
- Updated
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2021-11-11Created from EPrint's last_modified field
- Caltech groups
- Walter Burke Institute for Theoretical Physics
- Other Numbering System Name
- CALT-TH
- Other Numbering System Identifier
- 2016-030