Holography for tensor models

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2020-02-15

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PHYSICAL REVIEW D

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 matrixlike subsectors that develop an extra holographic dimension. In particular, we develop the collective field theory for the matrixlike sector of an interacting tensor model. We check the correctness of the large N collective field by showing that it reproduces the perturbative expansion of large N expectation values. In contrast to this, we argue that melonic large N limits do not develop an extra dimension. This conclusion follows from the large N value for the melonic collective field, which has delta function support. The finite N physics of the model is also developed and nonperturbative effects in the 1 / N expansion are exhibited.

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Research Article

Keywords

holographic, tensor model, matrixlike subsectors, nonperturbative

Citation

@article{PhysRevD.101.046004, title = {Holography for tensor models}, author = {de Mello Koch, Robert and Gossman, David and Tahiridimbisoa, Nirina Hasina and Mahu, Augustine Larweh}, journal = {Phys. Rev. D}, volume = {101}, issue = {4}, pages = {046004}, numpages = {17}, year = {2020}, month = {Feb}, publisher = {American Physical Society}, doi = {10.1103/PhysRevD.101.046004}, url = {https://link.aps.org/doi/10.1103/PhysRevD.101.046004} }

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