Symmetry TFTs for Continuous Spacetime Symmetries

Abstract
I will discuss our recent proposal for the Symmetry
Topological Field Theory (SymTFT) for global, continuous spacetime
symmetries ( https://arxiv.org/abs/2509.07965 ). For a d-dimensional
theory, it is given by a (d + 1)-dimensional BF-theory for the
spacetime symmetry group, and whenever d is even, it includes also
Chern-Simons couplings, that encode conformal and gravitational
anomalies. This proposal is supported by the similarity to two-
dimensional Jackiw-Teitelboim gravity in the d = 1 case and the
topological limit of four-dimensional gravity in the d = 3
case. I will discuss how topological defects constructed from this
SymTFT act by applying the associated spacetime symmetry
transformation. Finally, I will discuss the relation to gravity and
holography.

The gmeet details are:

Theory Seminar - Iñaki García Etxebarria
Thursday, 16 October · 11:30am – 12:30pm
Time zone: Europe/Rome
Google Meet joining info
Video call link: https://meet.google.com/oqs-winp-fhj
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