English

A multitrace deformation of ABJM theory

High Energy Physics - Theory 2009-10-29 v3

Abstract

Motivated by the study of big crunch singularities in asymptotically AdS4AdS_4 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 O(N)×O(N)O(N)\times O(N) 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 \Zbark\Zbar_k 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

R2 v1 2026-06-21T12:58:34.269Z