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Constructive holography
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DOI：10.1007/JHEP09(2024)022.png)
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Abstract
En 中文
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)xS(k-1)xS((d-2)(k-2))xS(d-3) spacetime. The modes of a harmonic expansion on the S(k-1)xS((d-2)(k-2))xS(d-3) portion of the spacetime leads to the spinning bulk fields of the dual gravity theory.
Keywords:
1/N Expansion
AdS-CFT Correspondence
Higher Spin Symmetry
Journal
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5.5
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3.9W
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13.7W