Holography for Tensor models

Abstract

In this article we explore the holographic duals of tensor models using collective field theory. We develop a description of the gauge invariant variables of the tensor model. This is then used to develop a collective field theory description of the dynamics. We consider matrix like subsectors that develop an extra holographic dimension. In contrast to this, we argue that melonic large $N$ limits do not develop an extra dimension. The finite $N$ physics of the model is also developed and non-perturbative effects in the $1/N$ expansion are exhibited.

27+1 pages, 7 figures; small changes, refs added and typos corrected

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Cited by in corpus (3)

• Near Conformal Perturbation Theory in SYK Type Models
• Backgrounds from Tensor Models: A Proposal
• The Non-melonic Sector of Tensor Models and Gravity