Aug 8 – 13, 2022
Hörsaalzentrum Poppelsdorf
Europe/Berlin timezone

't Hooft anomalies for staggered fermions

Aug 10, 2022, 2:00 PM
20m
CP1-HSZ/1st-1.001 - HS5 (CP1-HSZ)

CP1-HSZ/1st-1.001 - HS5

CP1-HSZ

50
Oral Presentation Theoretical Developments and Applications beyond Particle Physics Theoretical Developments

Speaker

Simon Catterall

Description

We show how staggered fermions can be coupled to gravity by generalizing them to Kaehler-Dirac fermions. The latter experience a perturbative gravitational anomaly which breaks
a U(1) symmetry down to Z_4. This anomaly is captured exactly by the lattice theory. Furthermore we show that this theory exhibits a second
non-perturbative 't Hooft anomaly which can be seen
by considering propagation on non-orientable spaces. This anomaly can be
cancelled for multiples of two Kaehler-Dirac fields. This observation explains recent work that shows that multiples of two staggered fermions can be gapped without breaking symmetries.

Primary author

Simon Catterall

Presentation materials