Constructive holography
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...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2024-09-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP09(2024)022 |
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| Summary: | 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. |
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| ISSN: | 1029-8479 |