Constructive Holography

2024/06/26 by Koch, Robert de Mello, Van Zyl, Hendrik J. R.
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.2406.18248

Abstract

We consider the collective field theory description of the singlet sector of a free and massless matrix field in d dimensions. The k-local collective fields are functions of (d-1)k+1 coordinates. We provide a map between the collective fields and fields in the dual gravitational theory defined on AdS_d+1 spacetime. The coordinates of the collective field have a natural interpretation: the k-local collective field is a field defined on an AdS_d+1×S^k-1×S^(d-2)(k-2)×S^d-3 spacetime. The modes of a harmonic expansion on the S^k-1×S^(d-2)(k-2)×S^d-3 portion of the spacetime leads to the spinning bulk fields of the dual gravity theory.

Related

• Reconstructing the spacetime dual to a free matrix
• Massive fields in AdS from Constructive Holography
• Gravitational dynamics from collective field theory
• Holography of a single free matrix
• Bilocal holography and locality in the bulk