The Anomaly Inflow of the domain-wall fermion in odd dimension

20 Jun 2019, 15:00
20m
Shimao 1A+1B

Shimao 1A+1B

Parallel Theoretical Developments Theoretical Developments

Speaker

Yoshiyuki Matsuki (Osaka University)

Description

A long ago, Callan and Harvey showed a view of gauge anomaly as
a missing current into an extra-dimension, and the total contribution,
including the Chern-Simons current in the bulk, is conserved.
But in their computation, the edge and bulk contributions are separately
evaluated and their cross correlations, which should be relevant
at boundary, are simply ignored. In this talk, we revisit this issue
with a complete set of eigenstates of free domain-wall Hamiltonian and study how
the gauge anomaly is canceled at the microscopic level.

Authors

Hidenori Fukaya Mr Makito Mori Naoki Kawai (Osaka University) Prof. Satoshi Yamaguchi (Osaka University) Tetsuya Onogi (Osaka University) Yoshiyuki Matsuki (Osaka University)

Presentation materials