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A so(2,2) extension of JT gravity via the Virasoro-Kac-Moody semidirect product

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arxiv 2410.10768 v2 pith:572ZMN2Z submitted 2024-10-14 hep-th gr-qc

Goffredo Chirco , Lucio Vacchiano , Patrizia Vitale This is my paper · ORCID
classification hep-thgr-qc
keywords boundaryactiontermsextensiongravityadditionalads3appropriate
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We consider a bulk plus boundary extension of Jackiw-Teitelboim Gravity (JT) coupled with non-abelian gauge fields. The generalization is performed in the Poisson Sigma Model formulation and it is derived as a dimensional reduction of the AdS3 Chern-Simons theory with WZW boundary terms. We discuss the role of boundary conditions in relation to the symmetries of the boundary dynamics and we show that the boundary action can be written in terms of coadjoint orbits of an appropriate Virasoro Kac-Moody group. We obtain a Schwarzian action and interaction terms with additional edge modes that match the effective low energy action of recent SYK-like tensor models.

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  1. Gauging the Schwarzian Action

    math-ph 2025-07 conditional novelty 7.0 of 10

    A locally SL(2,R) invariant version of the Schwarzian action is constructed using a composite field, with new holonomy sectors on a circle.

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