KEK Theory Workshop 2022

Curved domain-wall fermion and its anomaly inflow

8 Dec 2022, 14:00

20m

Online (Zoom)

Parallel session B

Speaker

Mr Shoto Aoki (Osaka University)

Description

We propose a lattice fermion formulation with a curved domain-wall mass term as a nonperturbative regularization of quantum field theory in a gravitational background. In KEK-TH 2021 last year, we reported that the edge-localized modes appear on the curved domain-wall in free fermion theory on a square lattice, and they feel gravity through the induced spin and spin-c connections. We continue the study adding nontrivial $U(1)$ gauge field background to the $S^1$ or $S^2$ domain-wall fermion systems. We find a good consistency with continuum theory in the anomaly inflow described by the Atiyah-Patodi-Singer index. This talk is based on our paper https://arxiv.org/abs/2203.03782 and some preliminary results.