# Conservation and integrability in lower-dimensional gravity

@article{Ruzziconi2020ConservationAI, title={Conservation and integrability in lower-dimensional gravity}, author={Romain Ruzziconi and C'eline Zwikel}, journal={arXiv: High Energy Physics - Theory}, year={2020} }

We address the questions of conservation and integrability of the charges in two and three-dimensional gravity theories at infinity. The analysis is performed in a framework that allows us to treat simultaneously asymptotically locally AdS and asymptotically locally flat spacetimes. In two dimensions, we start from a general class of models that includes JT and CGHS dilaton gravity theories, while in three dimensions, we work in Einstein gravity. In both cases, we construct the phase space and…

## 22 Citations

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### Symmetries at causal boundaries in 2D and 3D gravity

- PhysicsJournal of High Energy Physics
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Abstract
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### Target space diffeomorphisms in Poisson sigma models and asymptotic symmetries in 2D dilaton gravities

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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…

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