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A multitrace deformation of ABJM theory · Around

2009

A multitrace deformation of ABJM theory

Craps, Ben, Hertog, Thomas, Turok, Neil

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Motivated by the study of big crunch singularities in asymptotically $AdS_4$ 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 $O(N)\times O(N)$ vector model with large N.

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B. Craps, T. Hertog and N. Turok, arXiv:0712.4180

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E. Witten, arXiv:hep-th/0112258

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B. Craps, T. Hertog and N. Turok, in progress

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M. Benna, I. Klebanov, T. Klose and M. Smedback, JHEP 0809

2008

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