Reconstructing the spacetime dual to a free matrix
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866911869704339456 |
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| author | Koch, Robert de Mello Roy, Pratik Van Zyl, Hendrik J. R. |
| author_facet | Koch, Robert de Mello Roy, Pratik Van Zyl, Hendrik J. R. |
| contents | 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 AdS$_4\times$S$^{k-2}\times$S$^{k-1}$ spacetime. The modes of a harmonic expansion on the S$^{k-2}\times$S$^{k-1}$ portion of the spacetime leads to the spinning bulk fields of the dual gravity theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_04148 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Reconstructing the spacetime dual to a free matrix Koch, Robert de Mello Roy, Pratik Van Zyl, Hendrik J. R. High Energy Physics - Theory 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 AdS$_4\times$S$^{k-2}\times$S$^{k-1}$ spacetime. The modes of a harmonic expansion on the S$^{k-2}\times$S$^{k-1}$ portion of the spacetime leads to the spinning bulk fields of the dual gravity theory. |
| title | Reconstructing the spacetime dual to a free matrix |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2405.04148 |