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arXiv · 1910.13982

Holography for Tensor models

Robert de Mello Koch·David Gossman·Nirina Hasina Tahiridimbisoa·Augustine Larweh Mahu
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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.

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Robert de Mello Koch, David Gossman, Nirina Hasina Tahiridimbisoa, Augustine Larweh Mahu. 2019-10-30. Holography for Tensor models. https://doi.org/10.1103/physrevd.101.046004

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