A multitrace deformation of ABJM theory
Abstract
Motivated by the study of big crunch singularities in asymptotically spacetimes, we consider a marginal triple trace deformation of 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 non-trivial running, which we analyze explicitly in the limit of zero 't Hooft coupling, in which the model reduces to an vector model with large N. In this limit, we establish the existence of a perturbative UV fixed point, and we comment on possible non-perturbative effects. We also show that the bulk analysis leading to big crunch singularities extends to the orbifold models dual to ABJM theory.
Keywords
Cite
@article{arxiv.0905.0709,
title = {A multitrace deformation of ABJM theory},
author = {Ben Craps and Thomas Hertog and Neil Turok},
journal= {arXiv preprint arXiv:0905.0709},
year = {2009}
}
Comments
14 pages, 4 figures; v3. Clarification of precise relation to $O(N)\times O(N)$ model and other minor comments added