Gravitational action for a massive Majorana fermion in 2d quantum gravity
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 or...
| Main Authors: | , , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
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Springer Berlin Heidelberg
2024
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| Online Access: | https://hdl.handle.net/1721.1/153318 |
| _version_ | 1811077244634791936 |
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| author | de Lacroix, Corinne Erbin, Harold Lahoche, Vincent |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics de Lacroix, Corinne Erbin, Harold Lahoche, Vincent |
| author_sort | de Lacroix, Corinne |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T10:39:57Z |
| format | Article |
| id | mit-1721.1/153318 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T10:39:57Z |
| publishDate | 2024 |
| publisher | Springer Berlin Heidelberg |
| record_format | dspace |
| spelling | mit-1721.1/1533182024-07-11T18:58:47Z Gravitational action for a massive Majorana fermion in 2d quantum gravity de Lacroix, Corinne Erbin, Harold Lahoche, Vincent Massachusetts Institute of Technology. Center for Theoretical Physics 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. 2024-01-16T20:50:38Z 2024-01-16T20:50:38Z 2024-01-12 2024-01-14T04:12:15Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/153318 Journal of High Energy Physics. 2024 Jan 12;2024(1):68 PUBLISHER_CC en https://doi.org/10.1007/JHEP01(2024)068 Creative Commons Attribution https://creativecommons.org/licenses/by/4.0/ The Author(s) application/pdf Springer Berlin Heidelberg Springer Berlin Heidelberg |
| spellingShingle | de Lacroix, Corinne Erbin, Harold Lahoche, Vincent Gravitational action for a massive Majorana fermion in 2d quantum gravity |
| title | Gravitational action for a massive Majorana fermion in 2d quantum gravity |
| title_full | Gravitational action for a massive Majorana fermion in 2d quantum gravity |
| title_fullStr | Gravitational action for a massive Majorana fermion in 2d quantum gravity |
| title_full_unstemmed | Gravitational action for a massive Majorana fermion in 2d quantum gravity |
| title_short | Gravitational action for a massive Majorana fermion in 2d quantum gravity |
| title_sort | gravitational action for a massive majorana fermion in 2d quantum gravity |
| url | https://hdl.handle.net/1721.1/153318 |
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