English

Holography for Tensor models

High Energy Physics - Theory 2020-02-12 v2

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 NN limits do not develop an extra dimension. The finite NN physics of the model is also developed and non-perturbative effects in the 1/N1/N expansion are exhibited.

Keywords

Cite

@article{arxiv.1910.13982,
  title  = {Holography for Tensor models},
  author = {Robert de Mello Koch and David Gossman and Nirina Hasina Tahiridimbisoa and Augustine Larweh Mahu},
  journal= {arXiv preprint arXiv:1910.13982},
  year   = {2020}
}

Comments

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

R2 v1 2026-06-23T11:59:46.525Z