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Gravitational action for a massive Majorana fermion in 2d quantum gravity

Authors
  • de Lacroix, Corinne
  • Erbin, Harold
  • Lahoche, Vincent
Type
Published Article
Publication Date
Jan 17, 2024
Submission Date
Aug 16, 2023
Identifiers
DOI: 10.1007/JHEP01(2024)068
Source
arXiv
License
Yellow
External links

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.

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