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arXiv · 2405.04148

Reconstructing the spacetime dual to a free matrix

Robert de Mello Koch·Pratik Roy·Hendrik J. R. Van Zyl
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Abstract

In this paper we consider the collective field theory description of the singlet sector of a free matrix field in 2+1 dimensions. This necessarily involves the study of $k$-local collective fields, which are functions of $2k+1$ coordinates. We argue that these coordinates have a natural interpretation: the $k$-local collective field is a field defined on an AdS$_4\times$S$^{k-2}\times$S$^{k-1}$ spacetime. The modes of a harmonic expansion on the S$^{k-2}\times$S$^{k-1}$ portion of the spacetime leads to the spinning bulk fields of the dual gravity theory.

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Robert de Mello Koch, Pratik Roy, Hendrik J. R. Van Zyl. 2024-05-07. Reconstructing the spacetime dual to a free matrix. https://arxiv.org/abs/2405.04148

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