Target space diffeomorphisms in Poisson sigma models and asymptotic symmetries in 2D dilaton gravities

TL;DR

This paper explores how target space diffeomorphisms in Poisson sigma models can unify and analyze asymptotic symmetries in various 2D dilaton gravity theories, including the JT model, revealing Virasoro symmetry structures.

Contribution

It introduces a method using target space diffeomorphisms to identify asymptotic conditions and symmetries across different 2D dilaton gravity models, including the JT model.

Findings

Constructed an asymptotic problem with Virasoro symmetry in JT gravity.

Demonstrated the applicability of the method to a wide class of dilaton gravities.

Discussed potential generalizations to other models.

Abstract

The dilaton gravity models in two dimensions, including the Jackiw--Teitelboim model and its deformations, are particular cases of Poisson sigma models. Target space diffeomorphisms map one Poisson sigma model to another. We propose to use these diffsomorphisms to identify asymptotic conditions, boundary actions, and asymptotic symmetries in distinct dilaton gravity models. As an example, we use the asymptotic conditions in Jackiw--Teitelboim gravity to construct an asymptotic problem with Virasoro symmetry in a class of asymptotically Rindler models. We show, that the method can be applied to a wide class of pairs of dilaton gravities and discuss possible generalizations.