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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2308.08342 |
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| _version_ | 1866909075407634432 |
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| author | de Lacroix, Corinne Erbin, Harold Lahoche, Vincent |
| author_facet | de Lacroix, Corinne Erbin, Harold Lahoche, Vincent |
| contents | We compute the gravitational action of a free massive Majorana fermion coupled to two-dimensional gravity on compact Riemann surfaces of arbitrary genus. The structure is similar to the case of the massive scalar. The small-mass expansion of the gravitational yields the Liouville action at zeroth order, and we can identify the Mabuchi action at first order. While the massive Majorana action is a conformal deformation of the massless Majorana CFT, we find an action different from the one given by the David-Distler-Kawai (DDK) ansatz. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_08342 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Gravitational action for a massive Majorana fermion in 2d quantum gravity de Lacroix, Corinne Erbin, Harold Lahoche, Vincent High Energy Physics - Theory General Relativity and Quantum Cosmology We compute the gravitational action of a free massive Majorana fermion coupled to two-dimensional gravity on compact Riemann surfaces of arbitrary genus. The structure is similar to the case of the massive scalar. The small-mass expansion of the gravitational yields the Liouville action at zeroth order, and we can identify the Mabuchi action at first order. While the massive Majorana action is a conformal deformation of the massless Majorana CFT, we find an action different from the one given by the David-Distler-Kawai (DDK) ansatz. |
| title | Gravitational action for a massive Majorana fermion in 2d quantum gravity |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2308.08342 |