TY - JOUR

T1 - Double-trace flows and the swampland

AU - Giombi, Simone

AU - Perlmutter, Eric

N1 - Funding Information:
We thank O. Aharony, A. Armoni, S. Chester, J. Drummond, 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.

PY - 2018/3/1

Y1 - 2018/3/1

N2 - 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.

AB - 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.

KW - 1/N Expansion

KW - AdS-CFT Correspondence

KW - Conformal Field Theory

KW - Field Theories in Higher Dimensions

UR - http://www.scopus.com/inward/record.url?scp=85043591118&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85043591118&partnerID=8YFLogxK

U2 - 10.1007/JHEP03(2018)026

DO - 10.1007/JHEP03(2018)026

M3 - Article

AN - SCOPUS:85043591118

VL - 2018

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1126-6708

IS - 3

M1 - 26

ER -