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×Sk−2×Sk−1 spacetime. The modes of a harmonic expansion on the Sk−2×Sk−1 portion of the spacetime leads to the spinning bulk fields of the dual gravity theory.
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Acknowledgments
RdMK is supported by a start up research fund of Huzhou University, a Zhejiang Province talent award and by a Changjiang Scholar award. PR is also supported by the South African Research Chairs Initiative of the Department of Science and Technology and the National Research Foundation. HJRVZ is supported in part by the “Quantum Technologies for Sustainable Development” grant from the National Institute for Theoretical and Computational Sciences of South Africa (NITHECS).
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de Mello Koch, R., Roy, P. & Van Zyl, H.J.R. Reconstructing the spacetime dual to a free matrix. J. High Energ. Phys. 2024, 86 (2024). https://doi.org/10.1007/JHEP07(2024)086
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DOI: https://doi.org/10.1007/JHEP07(2024)086