SIMIS String Math Seminar: Symmetry TFTs for Continuous Spacetime Symmetries

Speaker: Iñaki García-Etxebarria (Durham University)

Time: 2025-09-17 17:00
Zoom Meeting ID: 879 2951 3509 (Passcode: 054182)

I will discuss our recent proposal for the Symmetry Topological Field Theory (SymTFT) for global, continuous spacetime symmetries. 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-dimesional 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.


Iñaki García-Etxebarria is currently a Professor in the Department of Mathematical Sciences at Durham University, UK. Since 2021, he has been one of the Principal Investigators of the Simons Collaboration on Global Categorical Symmetries. He completed his PhD in 2008 at Instituto de Fisica Teorica UAM-CISC, under the supervision of Angel M. Uranga. His expertise embraces QFT, String Theory, String Phenomenology, and the role of Dualities arising from their studies.

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