2022
11/22
OPEN
Date
2022/11/22（Tue）11:00〜12:00
Venue
Online Zoom
Speaker
Dr. Hidenori Fukaya
Language
English
URL
Contact
ryokokur-AT-post.kek.jp>
Overview
We consider a fermion system on a square lattice, where a curved
domain-wall is assigned to the mass term. In a similar way to the
standard flat domain-wall fermion, chiral edge modes appear at the
wall. These edge-localized modes feel gravity, through the induced
spin connection or metric due to the Einstein’s equivalence principle.
In the cases of circle $S^1$ and sphere $S^2$ domain-walls embedded
into higher dimensional square lattices of one dimension higher, we
numerically confirm the existence of the edge-localized modes and the
effect of gravity encoded in the spectrum. With $U(1)$ link variables,
we also find a good consistency to the anomaly inflow described by the
Atiyah-Patodi-Singer index theorem in the continuum theory. This talk
is based on a work with Shoto Aoki, https://arxiv.org/abs/2203.03782
and some preliminary results.