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...
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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 |
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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 |
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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 |
work_keys_str_mv | AT delacroixcorinne gravitationalactionforamassivemajoranafermionin2dquantumgravity AT erbinharold gravitationalactionforamassivemajoranafermionin2dquantumgravity AT lahochevincent gravitationalactionforamassivemajoranafermionin2dquantumgravity |