Reconstructing the spacetime dual to a free matrix

Autor: Robert de Mello Koch, Pratik Roy, Hendrik J. R. Van Zyl
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Journal of High Energy Physics, Vol 2024, Iss 7, Pp 1-32 (2024)
Druh dokumentu: article
ISSN: 1029-8479
DOI: 10.1007/JHEP07(2024)086
Popis: 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 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.
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