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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2404.12546 |
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| _version_ | 1866912257323040768 |
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| author | Pathak, Shivesh Kovalsky, Lucas Kocia |
| author_facet | Pathak, Shivesh Kovalsky, Lucas Kocia |
| contents | Known solutions to three-dimensional gravity with negative cosmological constant so far consist of either AdS$_3$ or its orbifolds (or orientifolds). We geometrically derive a novel non-orientable AdS$_3$ spacetime that is an orientifold of a spinor double cover of AdS$_3$, unlike existing solutions. This spacetime's universal cover contains a lightlike instead of spacelike compact direction. We show that its gravity theory possesses a simpler excited state spectrum and exhibits a Chern-Simons/Wess-Zumino-Witt (CS/WZW) correspondence between only one independent CS term and boundary chiral WZW term. This leads us to suggest that CS theory is able to more fully describe non-orientable pure gravity theory compared to orientable gravity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_12546 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Non-Orientable AdS$_3$ and its Holography Pathak, Shivesh Kovalsky, Lucas Kocia High Energy Physics - Theory Known solutions to three-dimensional gravity with negative cosmological constant so far consist of either AdS$_3$ or its orbifolds (or orientifolds). We geometrically derive a novel non-orientable AdS$_3$ spacetime that is an orientifold of a spinor double cover of AdS$_3$, unlike existing solutions. This spacetime's universal cover contains a lightlike instead of spacelike compact direction. We show that its gravity theory possesses a simpler excited state spectrum and exhibits a Chern-Simons/Wess-Zumino-Witt (CS/WZW) correspondence between only one independent CS term and boundary chiral WZW term. This leads us to suggest that CS theory is able to more fully describe non-orientable pure gravity theory compared to orientable gravity. |
| title | Non-Orientable AdS$_3$ and its Holography |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2404.12546 |