Time zone is CET
13.30-14.10: Joaquim Gomis (Barcelona)
14.10-14.50: Stefan Prohazka (Edinburgh)
14.10-14.50: Stefan Prohazka (Edinburgh)
14.50 - 15.00: break
15.00 - 15.40: Patricio Salgado-Rebolledo (Bruxelles)
15.40 - 16.00: break
16.00-17.00 discussion moderated by Lucrezia Ravera (Torino)
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Titles and abstracts
Title: Non-relativistic and Carrollian limits of Jackiw-Teitelboim gravity
Abstract: We construct the non-relativistic and Carrollian versions of
Jackiw-Teitelboim gravity. In the second order formulation,
there are no divergences in the non-relativistic and Carrollian limits.
Instead, in the first order formalism there are divergences that can be
avoided by starting from a relativistic BF theory with (A)dS$_2\times
\mathbb R$ gauge algebra.
We show how to define the boundary duals of the gravity actions using
the method of non-linear realisations and suitable Inverse Higgs
constraints. In particular, the non-relativistic version of the
Schwarzian action is constructed in this way. We derive the asymptotic
symmetries of the theory, as well as the corresponding conserved charges
and Newton-Cartan geometric structure.
Speaker: Stefan Prohazka
Title: Limits of 2D JT and 3D gravity
Abstract: We will discuss limits and extensions of three-dimensional
gravity and two-dimensional Jackiw-Teitelboim gravity. Special focus
will be given to the underlying algebraic structure and gauge theoretic
Chern-Simons and BF formulations. We will comment on numerous
applications and generalizations.
Speaker: Patricio Salgado-Rebolledo
Title: Non-relativistic symmetries in 2+1 dimensions and the
Nappi-Witten algebra
Abstract: In this talk, I will show how some non-relativistic symmetries
in 2+1 dimensions, such as the Extended Bargmann and Newton-Hooke
algebras, can be constructed as expansions of the Nappi-Witten algebra.
The procedure can be generalised to obtain two infinite families of
non-relativistic symmetries, which will be used to formulate
Chern-Simons gravity actions. Using a particular case of extended
Nappi-Witten symmetry, I will derive an effective geometric model for
fractional quantum Hall states. Finally, I will discuss possible
generalisations of these results to the case of bi-metric theories and
higher-spin symmetries.
