RIND seminar on Mathematical Physics and String Theory

May 15, 2023 at 4 p.m. c.t. only via Zoom

Ilka Brunner (LMU München)
Nils Carqueville (Universität Wien)
Hans Jockers (JGU Mainz)
Peter Mayr (LMU München)
Simone Noja (Universität Heidelberg)
Ivo Sachs (LMU München)
Johannes Walcher (Universität Heidelberg)

Joint seminar series on Mathematical Physics and String Theory

Non-Invertible Chiral Symmetry
Clay Córdova (University of Chicago)

We elucidate the fate of classical symmetries which suffer from abelian
Adler-Bell-Jackiw anomalies. Instead of being completely destroyed,
these symmetries survive as non-invertible topological global symmetry
defects with worldvolume anyon degrees of freedom that couple to the
bulk through a magnetic one-form global symmetry as in the fractional
hall effect. These non-invertible chiral symmetries imply selection
rules on correlation functions and arise in familiar models of massless
quantum electrodynamics and models of axions (as well as their non-
abelian generalizations)