Multitrace deformation of the Aharony-Bergman-Jafferis-Maldacena theory

Journal Article · Thu Oct 15 04:00:00 EDT 2009 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.80.086007· OSTI ID:21325425

Craps, Ben ^[1]; Hertog, Thomas ^[2]; Turok, Neil ^[3]

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1. Theoretische Natuurkunde, Vrije Universiteit Brussel, Pleinlaan 2, B-1050 Brussels (Belgium)
2. International Solvay Institutes, Boulevard du Triomphe, ULB-C.P.231, B-1050 Brussels (Belgium)
3. Perimeter Institute for Theoretical Physics, 31 Caroline Street N, Waterloo, Ontario N2L2Y5, Canada, and DAMTP, CMS, Wilberforce Road, Cambridge, CB3 0WA (United Kingdom)

Motivated by the study of big crunch singularities in asymptotically AdS{sub 4} space-times, we consider a marginal triple trace deformation of Aharony-Bergman-Jafferis-Maldacena (ABJM) theory. The deformation corresponds to adding a potential which is unbounded below. In a 't Hooft large N limit, the beta function for the triple trace deformation vanishes, which is consistent with the near-boundary behavior of the bulk fields. At the next order in the 1/N expansion, the triple trace couplings exhibit nontrivial running, which we analyze explicitly in the limit of zero 't Hooft coupling, in which the model reduces to an O(N)xO(N) vector model with large N. In this limit, we establish the existence of a perturbative UV fixed point, and we comment on possible nonperturbative effects. We also show that the bulk analysis leading to big crunch singularities extends to the Z{sub k} orbifold models dual to ABJM theory.

• OSTI ID: 21325425
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 8 Vol. 80; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANTI DE SITTER SPACE
COUPLING
DEFORMATION
EXPANSION
SINGULARITY
SPACE-TIME