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Article Dans Une Revue Journal of High Energy Physics Année : 2024

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

Résumé

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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Dates et versions

hal-04190018 , version 1 (11-04-2024)

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Corinne de Lacroix, Harold Erbin, Vincent Lahoche. Gravitational action for a massive Majorana fermion in 2d quantum gravity. Journal of High Energy Physics, 2024, 2024, pp.68. ⟨10.1007/JHEP01(2024)068⟩. ⟨hal-04190018⟩
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