Branes in JT (super)gravity from group theory
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866909102971551744 |
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| author | Belaey, Andreas Mariani, Francesca Mertens, Thomas G. |
| author_facet | Belaey, Andreas Mariani, Francesca Mertens, Thomas G. |
| contents | In this work, we revisit the end-of-the-world (EOW) brane amplitudes in JT gravity from a BF gauge theoretic perspective. Observing and identifying the correct group theoretic ingredient for a closed EOW brane as a discrete series character, we use the group theory framework as a guide towards formulating the analogous supersymmetric problem. We compute these amplitudes explicitly in the supersymmetric generalizations of JT gravity ($\mathcal{N}=1,2,4$), motivated by the prospective of possibly finite amplitudes. In the process, we develop some of the representation theory of OSp$(2\vert 2,\mathbb{R})$ and PSU($1,1\vert 2)$, relevant for the $\mathcal{N}=2$ and $\mathcal{N}=4$ cases. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2310_04245 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Branes in JT (super)gravity from group theory Belaey, Andreas Mariani, Francesca Mertens, Thomas G. High Energy Physics - Theory Mathematical Physics Representation Theory In this work, we revisit the end-of-the-world (EOW) brane amplitudes in JT gravity from a BF gauge theoretic perspective. Observing and identifying the correct group theoretic ingredient for a closed EOW brane as a discrete series character, we use the group theory framework as a guide towards formulating the analogous supersymmetric problem. We compute these amplitudes explicitly in the supersymmetric generalizations of JT gravity ($\mathcal{N}=1,2,4$), motivated by the prospective of possibly finite amplitudes. In the process, we develop some of the representation theory of OSp$(2\vert 2,\mathbb{R})$ and PSU($1,1\vert 2)$, relevant for the $\mathcal{N}=2$ and $\mathcal{N}=4$ cases. |
| title | Branes in JT (super)gravity from group theory |
| topic | High Energy Physics - Theory Mathematical Physics Representation Theory |
| url | https://arxiv.org/abs/2310.04245 |