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Double-Trace Flows and the Swampland

Giombi, Simone and Perlmutter, Eric (2018) Double-Trace Flows and the Swampland. Journal of High Energy Physics, 2018 (3). Art. No. 026. ISSN 1126-6708. doi:10.1007/JHEP03(2018)026.

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We explore the idea that large N, non-supersymmetric conformal field theories with a parametrically large gap to higher spin single-trace operators may be obtained as infrared fixed points of relevant double-trace deformations of superconformal field theories. After recalling the AdS interpretation and some potential pathologies of such flows, we introduce a concrete example that appears to avoid them: the ABJM theory at finite k, deformed by ∫O^2, where O is the superconformal primary in the stress-tensor multiplet. We address its relation to recent conjectures based on weak gravity bounds, and discuss the prospects for a wider class of similarly viable flows. Next, we proceed to analyze the spectrum and correlation functions of the putative IR CFT, to leading non-trivial order in 1/N. This includes analytic computations of the change under double-trace flow of connected four-point functions of ABJM superconformal primaries; and of the IR anomalous dimensions of infinite classes of double-trace composite operators. These would be the first analytic results for anomalous dimensions of finite-spin composite operators in any large N CFT_3 with an Einstein gravity dual.

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Additional Information:© 2018 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 17, 2018; Accepted: February 27, 2018; Published: March 6, 2018. We thank O. Aharony, S. Chester, D. Jafferis, I. Klebanov, P. Kraus, H. Ooguri, S. Pufu, L. Rastelli and H. Verlinde for helpful discussions, and V. Kirilin for collaboration on related work. We also thank I. Klebanov and H. Ooguri for comments on a draft. The work of S.G. is supported in part by the US NSF under Grant No. PHY-1620542. E.P. gratefully acknowledges support from the Simons Center for Geometry and Physics, Stony Brook University at which some of the research for this paper was performed. E.P. is supported in part by the Department of Energy under Grant No. DE-FG02-91ER40671, and by Simons Foundation grant 488657 (Simons Collaboration on the Nonperturbative Bootstrap). This material is based upon work supported by the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award Number de-sc0011632.
Group:Walter Burke Institute for Theoretical Physics
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Stony Brook UniversityUNSPECIFIED
Department of Energy (DOE)DE-FG02-91ER40671
Simons Foundation488657
Department of Energy (DOE)DE-SC0011632
Subject Keywords:1/N Expansion; AdS-CFT Correspondence; Conformal Field Theory Field; Theories in Higher Dimensions
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Issue or Number:3
Record Number:CaltechAUTHORS:20170928-111745842
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Official Citation:Giombi, S. & Perlmutter, E. J. High Energ. Phys. (2018) 2018: 26.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:81898
Deposited By: Joy Painter
Deposited On:28 Sep 2017 18:35
Last Modified:15 Nov 2021 19:46

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