Gravitational action for a massive Majorana fermion in 2d quantum gravity
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13130_2024_Article_22577.pdf
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Author(s)
de Lacroix, Corinne
Erbin, Harold
Lahoche, Vincent
Date Issued
January 12, 2024
Publisher
Springer Berlin Heidelberg
Citation
Journal of High Energy Physics. 2024 Jan 12;2024(1):68
Version
Final published version
Abstract
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.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
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Creative Commons Attribution
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DOI of Published Version
https://doi.org/10.1007/JHEP01(2024)068
