Double-trace flows and the swampland

Giombi, Simone; Perlmutter, Eric

doi:10.1007/jhep03(2018)026

Title: Double-trace flows and the swampland

Journal Article · Tue Mar 06 00:00:00 EST 2018 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep03(2018)026· OSTI ID:1507424

Giombi, Simone ^[1]; Perlmutter, Eric ^[2]

Princeton Univ., Princeton, NJ (United States). Dept. of Physics
Princeton Univ., Princeton, NJ (United States). Dept. of Physics; California Inst. of Technology (CalTech), Pasadena, CA (United States). Walter Burke Inst. for Theoretical Physics

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 ∫O², 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 CFT₃ with an Einstein gravity dual.

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Research Organization:: Princeton Univ., NJ (United States); California Institute of Technology (CalTech), Pasadena, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: FG02-91ER40671; SC0011632; PHY-1620542; 48865

OSTI ID:: 1507424

Journal Information:: Journal of High Energy Physics (Online), Vol. 2018, Issue 3; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 8 works

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