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 AdSd+1 spacetime. The coordinates of the collective field have a natural interpretation: the k-local collective field is a field defined on an AdSd+1×Sk−1×S(d−2)(k−2)×Sd−3 spacetime. The modes of a harmonic expansion on the Sk−1×S(d−2)(k−2)×Sd−3 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. 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., Van Zyl, H.J.R. Constructive holography. J. High Energ. Phys. 2024, 22 (2024). https://doi.org/10.1007/JHEP09(2024)022
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DOI: https://doi.org/10.1007/JHEP09(2024)022