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

't Hooft anomalies for staggered fermions

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

CP1-HSZ/1.001 (CP1-HSZ) - HS5


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Oral Presentation Theoretical Developments and Applications beyond Particle Physics Theoretical Developments


Simon Catterall


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