Double-trace flows and the swampland
Abstract
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.
- Authors:
-
- 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
- Publication Date:
- Research Org.:
- Princeton Univ., NJ (United States); California Institute of Technology (CalTech), Pasadena, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP)
- OSTI Identifier:
- 1507424
- Grant/Contract Number:
- FG02-91ER40671; SC0011632; PHY-1620542; 48865
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of High Energy Physics (Online)
- Additional Journal Information:
- Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2018; Journal Issue: 3; Journal ID: ISSN 1029-8479
- Publisher:
- Springer Berlin
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 1/N Expansion; AdS-CFT Correspondence; Conformal Field Theory; Field Theories in Higher Dimensions
Citation Formats
Giombi, Simone, and Perlmutter, Eric. Double-trace flows and the swampland. United States: N. p., 2018.
Web. doi:10.1007/jhep03(2018)026.
Giombi, Simone, & Perlmutter, Eric. Double-trace flows and the swampland. United States. https://doi.org/10.1007/jhep03(2018)026
Giombi, Simone, and Perlmutter, Eric. Tue .
"Double-trace flows and the swampland". United States. https://doi.org/10.1007/jhep03(2018)026. https://www.osti.gov/servlets/purl/1507424.
@article{osti_1507424,
title = {Double-trace flows and the swampland},
author = {Giombi, Simone and Perlmutter, Eric},
abstractNote = {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.},
doi = {10.1007/jhep03(2018)026},
journal = {Journal of High Energy Physics (Online)},
number = 3,
volume = 2018,
place = {United States},
year = {Tue Mar 06 00:00:00 EST 2018},
month = {Tue Mar 06 00:00:00 EST 2018}
}
Web of Science
Works referenced in this record:
Large N field theory and AdS tachyons
journal, April 2009
- Pomoni, Elli; Rastelli, Leonardo
- Journal of High Energy Physics, Vol. 2009, Issue 04
The analytic bootstrap and AdS superhorizon locality
journal, December 2013
- Fitzpatrick, A. Liam; Kaplan, Jared; Poland, David
- Journal of High Energy Physics, Vol. 2013, Issue 12
Loop Corrections to Supergravity on
journal, October 2017
- Alday, Luis F.; Bissi, Agnese
- Physical Review Letters, Vol. 119, Issue 17
Unmixing supergravity
journal, February 2018
- Aprile, F.; Drummond, J. M.; Heslop, P.
- Journal of High Energy Physics, Vol. 2018, Issue 2
A universal result on central charges in the presence of double-trace deformations
journal, April 2003
- Gubser, Steven S.; Klebanov, Igor R.
- Nuclear Physics B, Vol. 656, Issue 1-2
Gauge theory correlators from non-critical string theory
journal, May 1998
- Gubser, S. S.; Klebanov, I. R.; Polyakov, A. M.
- Physics Letters B, Vol. 428, Issue 1-2
Bounds for OPE coefficients on the Regge trajectory
journal, October 2017
- Costa, Miguel S.; Hansen, Tobias; Penedones, João
- Journal of High Energy Physics, Vol. 2017, Issue 10
D-brane potentials from multi-trace deformations in AdS/CFT
journal, August 2009
- Bernamonti, Alice; Craps, Ben
- Journal of High Energy Physics, Vol. 2009, Issue 08
Universal properties of superconformal OPEs for 1/2 BPS operators in 3 ⩽ D ⩽ 6
journal, January 2002
- Ferrara, Sergio; Sokatchev, Emery
- New Journal of Physics, Vol. 4
The criterion for vacuum stability in Kaluza-Klein supergravity
journal, May 1984
- Duff, M. J.; Nilsson, B. E. W.; Pope, C. N.
- Physics Letters B, Vol. 139, Issue 3
Analyticity in spin in conformal theories
journal, September 2017
- Caron-Huot, Simon
- Journal of High Energy Physics, Vol. 2017, Issue 9
Anti de Sitter space and holography
journal, January 1998
- Witten, Edward
- Advances in Theoretical and Mathematical Physics, Vol. 2, Issue 2
D=5 simple supergravity on AdS3×S2 and N=4 superconformal field theory
journal, May 2000
- Fujii, Akira; Kemmoku, Ryuji; Mizoguchi, Shun'ya
- Nuclear Physics B, Vol. 574, Issue 3
Explicitly broken supersymmetry with exactly massless moduli
journal, June 2016
- Dong, Xi; Freedman, Daniel Z.; Zhao, Yue
- Journal of High Energy Physics, Vol. 2016, Issue 6
Correlation functions in the CFTd/AdSd+1 correspondence
journal, April 1999
- Freedman, Daniel Z.; Mathur, Samir D.; Matusis, Alec
- Nuclear Physics B, Vol. 546, Issue 1-2
Causality constraints on corrections to the graviton three-point coupling
journal, February 2016
- Camanho, Xián O.; Edelstein, José D.; Maldacena, Juan
- Journal of High Energy Physics, Vol. 2016, Issue 2
Eikonal approximation in AdS/CFT: Conformal partial waves and finite N four-point functions
journal, April 2007
- Cornalba, Lorenzo; Costa, Miguel S.; Penedones, João
- Nuclear Physics B, Vol. 767, Issue 3
Renormalization group flows from holography: Supersymmetry and a $c$-theorem
journal, January 1999
- Freedman, D. Z.; Gubser, S. S.; Pilch, K.
- Advances in Theoretical and Mathematical Physics, Vol. 3, Issue 2
The perturbation spectrum of black holes in N = 8 supergravity
journal, December 1998
- Larsen, Finn
- Nuclear Physics B, Vol. 536, Issue 1-2
Superconformal Chern-Simons theories and AdS 4 /CFT 3 correspondence
journal, September 2008
- Benna, Marcus; Klebanov, Igor; Klose, Thomas
- Journal of High Energy Physics, Vol. 2008, Issue 09
Non-supersymmetric stable vacua of M-theory
journal, January 1999
- Berkooz, Micha; Rey, Soo-Jong
- Journal of High Energy Physics, Vol. 1999, Issue 01
𝒩 = 6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
journal, October 2008
- Aharony, Ofer; Bergman, Oren; Jafferis, Daniel Louis
- Journal of High Energy Physics, Vol. 2008, Issue 10
Chern–Simons theory with vector fermion matter
journal, August 2012
- Giombi, Simone; Minwalla, Shiraz; Prakash, Shiroman
- The European Physical Journal C, Vol. 72, Issue 8
Holography from conformal field theory
journal, October 2009
- Heemskerk, Idse; Penedones, Joao; Polchinski, Joseph
- Journal of High Energy Physics, Vol. 2009, Issue 10
Anti-de Sitter fragmentation
journal, February 1999
- Maldacena, Juan; Michelson, Jeremy; Strominger, Andrew
- Journal of High Energy Physics, Vol. 1999, Issue 02
Particle-vortex duality in topological insulators and superconductors
journal, May 2017
- Murugan, Jeff; Nastase, Horatiu
- Journal of High Energy Physics, Vol. 2017, Issue 5
Non-supersymmetric conformal field theories from stable anti-de Sitter spaces
journal, January 1998
- Distler, Jacques; Zamora, Frederic
- Advances in Theoretical and Mathematical Physics, Vol. 2, Issue 6
A non-supersymmetric large- N 3D CFT and its gravity dual
journal, September 2008
- Armoni, Adi; Naqvi, Asad
- Journal of High Energy Physics, Vol. 2008, Issue 09
Evaluating the AdS dual of the critical O ( N ) vector model
journal, March 2003
- Petkou, Anastasios C.
- Journal of High Energy Physics, Vol. 2003, Issue 03
Einstein gravity 3-point functions from conformal field theory
journal, December 2017
- Afkhami-Jeddi, Nima; Hartman, Thomas; Kundu, Sandipan
- Journal of High Energy Physics, Vol. 2017, Issue 12
Anomalous dimensions of non-chiral operators from AdS/CFT
journal, October 2011
- Fitzpatrick, A. Liam; Shih, David
- Journal of High Energy Physics, Vol. 2011, Issue 10
Universal spectrum of 2d conformal field theory in the large c limit
journal, September 2014
- Hartman, Thomas; Keller, Christoph A.; Stoica, Bogdan
- Journal of High Energy Physics, Vol. 2014, Issue 9
Superconformal Ward identities and their solution
journal, April 2005
- Nirschl, M.; Osborn, H.
- Nuclear Physics B, Vol. 711, Issue 3
On conformal field theories in four dimensions
journal, November 1998
- Lawrence, Albion; Nekrasov, Nikita; Vafa, Cumrun
- Nuclear Physics B, Vol. 533, Issue 1-3
Perturbative gauge theory and closed string tachyons
journal, November 2005
- Dymarsky, Anatoly; Klebanov, Igor R.; Roiban, Radu
- Journal of High Energy Physics, Vol. 2005, Issue 11
Fractional M2-branes
journal, November 2008
- Aharony, Ofer; Bergman, Oren; Jafferis, Daniel Louis
- Journal of High Energy Physics, Vol. 2008, Issue 11
3D superconformal theories from Sasakian seven-manifolds: new non-trivial evidences for
journal, June 2000
- Fabbri, Davide; Fré, Pietro; Gualtieri, Leonardo
- Nuclear Physics B, Vol. 577, Issue 3
Perturbative search for fixed lines in large- N gauge theories
journal, August 2005
- Dymarsky, Anatoly; Klebanov, Igor R.; Roiban, Radu
- Journal of High Energy Physics, Vol. 2005, Issue 08
M2 -BRANES AND AdS/CFT
journal, January 2010
- Klebanov, Igor R.
- International Journal of Modern Physics A, Vol. 25, Issue 02n03
Non-abelian binding energies from the lightcone bootstrap
journal, February 2016
- Li, Daliang; Meltzer, David; Poland, David
- Journal of High Energy Physics, Vol. 2016, Issue 2
Boundary terms and three-point functions: an AdS/CFT puzzle resolved
journal, June 2017
- Freedman, Daniel Z.; Pilch, Krzysztof; Pufu, Silviu S.
- Journal of High Energy Physics, Vol. 2017, Issue 6
Partition functions and double-trace deformations in AdS/CFT
journal, May 2007
- Díaz, Danilo E.; Dorn, Harald
- Journal of High Energy Physics, Vol. 2007, Issue 05
Effective potential in non-supersymmetric SU(N)×SU(N) gauge theory and interactions of type 0 D3-branes
journal, June 1999
- Tseytlin, A. A.; Zarembo, K.
- Physics Letters B, Vol. 457, Issue 1-3
Conformal collider physics from the lightcone bootstrap
journal, February 2016
- Li, Daliang; Meltzer, David; Poland, David
- Journal of High Energy Physics, Vol. 2016, Issue 2
The Large-N Limit of Superconformal Field Theories and Supergravity
journal, January 1999
- Maldacena, Juan
- International Journal of Theoretical Physics, Vol. 38, Issue 4, p. 1113-1133
Don't panic! closed string tachyons in ALE spacetimes
journal, October 2001
- Adams, Allan; Polchinski, Joseph; Silverstein, Eva
- Journal of High Energy Physics, Vol. 2001, Issue 10
4D Conformal Field Theories and Strings on Orbifolds
journal, June 1998
- Kachru, Shamit; Silverstein, Eva
- Physical Review Letters, Vol. 80, Issue 22
The bosonic mass formula for Freund-Rubin solutions of d=11 supergravity on general coset manifolds
journal, July 1984
- Castellani, L.; D'Auria, R.; Fre, P.
- Classical and Quantum Gravity, Vol. 1, Issue 4
The D1/D5 system and singular CFT
journal, April 1999
- Seiberg, Nathan; Witten, Edward
- Journal of High Energy Physics, Vol. 1999, Issue 04
Convexity and liberation at large spin
journal, November 2013
- Komargodski, Zohar; Zhiboedov, Alexander
- Journal of High Energy Physics, Vol. 2013, Issue 11
d = 3 bosonic vector models coupled to Chern-Simons gauge theories
journal, March 2012
- Aharony, Ofer; Gur-Ari, Guy; Yacoby, Ran
- Journal of High Energy Physics, Vol. 2012, Issue 3
Positive energy in anti-de Sitter backgrounds and gauged extended supergravity
journal, September 1982
- Breitenlohner, Peter; Freedman, Daniel Z.
- Physics Letters B, Vol. 115, Issue 3
A duality web in dimensions and condensed matter physics
journal, November 2016
- Seiberg, Nathan; Senthil, T.; Wang, Chong
- Annals of Physics, Vol. 374
Three dimensional bosonization from supersymmetry
journal, November 2015
- Gur-Ari, Guy; Yacoby, Ran
- Journal of High Energy Physics, Vol. 2015, Issue 11
Holography in 4D (super) higher spin theories and a test via cubic scalar couplings
journal, July 2005
- Sezgin, Ergin; Sundell, Pear
- Journal of High Energy Physics, Vol. 2005, Issue 07
On Four-Point Functions of Half-BPS Operators in General Dimensions
journal, September 2004
- Dolan, Francis A.; Gallot, Laurent; Sokatchev, Emery
- Journal of High Energy Physics, Vol. 2004, Issue 09
`Double-trace' deformations, boundary conditions and spacetime singularities
journal, May 2002
- Berkooz, Micha; Sever, Amit; Shomer, Assaf
- Journal of High Energy Physics, Vol. 2002, Issue 05
Conserved Currents, Consistency Relations, and Operator Product Expansions in the Conformally InvariantO(N) Vector Model
journal, July 1996
- Petkou, Anastasios
- Annals of Physics, Vol. 249, Issue 1
Implications of Conformal Invariance in Field Theories for General Dimensions
journal, May 1994
- Osborn, H.; Petkou, A.
- Annals of Physics, Vol. 231, Issue 2
Near-extremal correlators and generalized consistent truncation for AdS 4|7 × S 7|4
journal, June 2000
- D'Hoker, Eric; Pioline, Boris
- Journal of High Energy Physics, Vol. 2000, Issue 07
The N = 8 $$ \mathcal{N}=8 $$ superconformal bootstrap in three dimensions
journal, September 2014
- Chester, Shai M.; Lee, Jaehoon; Pufu, Silviu S.
- Journal of High Energy Physics, Vol. 2014, Issue 9
Ads/CFT correspondence and symmetry breaking
journal, September 1999
- Klebanov, Igor R.; Witten, Edward
- Nuclear Physics B, Vol. 556, Issue 1-2
Unitarity and the holographic S-Matrix
journal, October 2012
- Fitzpatrick, A. Liam; Kaplan, Jared
- Journal of High Energy Physics, Vol. 2012, Issue 10
One-loop supergravity on AdS4 × S 7/ℤ k and comparison with ABJM theory
journal, November 2016
- Liu, James T.; Zhao, Wenli
- Journal of High Energy Physics, Vol. 2016, Issue 11
Multiple membranes in M-theory
journal, June 2013
- Bagger, Jonathan; Lambert, Neil; Mukhi, Sunil
- Physics Reports, Vol. 527, Issue 1
Three point functions of chiral primary operators in d=3, and d=6, SCFT at large N
journal, November 1999
- Bastianelli, Fiorenzo; Zucchini, Roberto
- Physics Letters B, Vol. 467, Issue 1-2
Double-trace deformations, mixed boundary conditions and functional determinants in AdS/CFT
journal, January 2008
- Hartman, Thomas; Rastelli, Leonardo
- Journal of High Energy Physics, Vol. 2008, Issue 01
Black hole entropy in M-Theory
journal, December 1997
- Maldacena, Juan; Strominger, Andrew; Witten, Edward
- Journal of High Energy Physics, Vol. 1997, Issue 12
Particle-Vortex Duality from 3D Bosonization
journal, September 2016
- Karch, Andreas; Tong, David
- Physical Review X, Vol. 6, Issue 3
Superconformal field theory on threebranes at a Calabi-Yau singularity
journal, December 1998
- Klebanov, Igor R.; Witten, Edward
- Nuclear Physics B, Vol. 536, Issue 1-2
From Weak to Strong Coupling in ABJM Theory
journal, May 2011
- Drukker, Nadav; Mariño, Marcos; Putrov, Pavel
- Communications in Mathematical Physics, Vol. 306, Issue 2
The large N limit of superconformal field theories and supergravity
conference, January 1999
- Maldacena, Juan
- The second meeting on trends in theoretical physics, AIP Conference Proceedings
The gauge dual of Romans mass
journal, January 2010
- Gaiotto, Davide; Tomasiello, Alessandro
- Journal of High Energy Physics, Vol. 2010, Issue 1
A Note on Multi-trace Deformations and AdS/CFT
journal, July 2002
- Sever, Amit; Shomer, Assaf
- Journal of High Energy Physics, Vol. 2002, Issue 07
Holography from Conformal Field Theory
text, January 2009
- Heemskerk, Idse; Penedones, Joao; Polchinski, Joseph
- arXiv
Works referencing / citing this record:
Growing extra dimensions in AdS/CFT
journal, August 2019
- Alday, Luis F.; Perlmutter, Eric
- Journal of High Energy Physics, Vol. 2019, Issue 8
De Sitter cosmology on an expanding bubble
journal, October 2019
- Banerjee, Souvik; Danielsson, Ulf; Dibitetto, Giuseppe
- Journal of High Energy Physics, Vol. 2019, Issue 10
de Sitter Cosmology on an expanding bubble
text, January 2019
- Banerjee, Souvik; Danielsson, Ulf; Dibitetto, Giuseppe
- arXiv
The Swampland: Introduction and Review
journal, April 2019
- Palti, Eran
- Fortschritte der Physik, Vol. 67, Issue 6
De Sitter cosmology on an expanding bubble
journal, October 2019
- Banerjee, Souvik; Danielsson, Ulf; Dibitetto, Giuseppe
- Journal of High Energy Physics, Vol. 2019, Issue 10
AdS$_8$ Solutions in Type II Supergravity
text, January 2018
- Cordova, Clay; De Luca, G. Bruno; Tomasiello, Alessandro
- arXiv