Reconstructing the spacetime dual to a free matrix

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2024年7月10日

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

摘要

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 AdS₄×S^k−2×S^k−1 spacetime. The modes of a harmonic expansion on the S^k−2×S^k−1 portion of the spacetime leads to the spinning bulk fields of the dual gravity theory.