TH String Theory Seminar

Generalized symmetries and Noether's theorem in QFT

by Valentin Benedetti (Centro Atómico Bariloche)

Europe/Zurich
4/3-006 - TH Conference Room (CERN)

4/3-006 - TH Conference Room

CERN

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Description

We show that generalized symmetries cannot be charged under a continuous global symmetry having a Noether current. Further, only non-compact generalized symmetries can be charged under a continuous global symmetry. These results unravel topological obstructions to the existence of a Noether current in QFT. We discuss some examples, including the free massless graviton. We use these results to rederive Weinberg-Witten’s theorem within local QFT, generalizing it to massless particles in arbitrary dimensions and representations of the Lorentz group. We end up discussing the conditions for the existence of a Noether current, dynamical aspects of QFT’s with non-compact generalized symmetries, scale vs conformal invariance and the Coleman-Mandula theorem.

Based on [arXiv:2205.03412 [hep-th]]

Videoconference
String Seminars
Zoom Meeting ID
61053603623
Host
Elena Gianolio
Alternative hosts
Shota Komatsu, Shouvik Datta, Alexander Zhiboedov, Alexandre Belin, Kyriakos Papadodimas
Passcode
87794299
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