Speaker
Mr
Ryo Yamamura
(Osaka U.)
Description
We propose a 6-dimensional lattice regularization of chiral gauge
theories. In our formulation, Weyl fermions are localized on the
junction of two different domain-walls. One domain-wall naturally
exhibits the Stora-Zumino chain of the anomaly descent equations.
Another domain-wall mediates a similar inflow of the global anomalies.
The anomaly free condition is equivalent to requiring the measure of
the 6-dimensional Dirac fermions to cancel the axial U(1) and parity
anomalies. ``Localizing'' the gauge fields on the 4-dimensional
junction using the Yang-Mills gradient flow, as proposed by Grabowska
and Kaplan, we non-perturbatively define the 4-dimensional path
integral of the target chiral gauge theory.
In the first talk, we present the basic idea of our formulation,
emphasizing on why the 6-th dimension is needed for the global
anomalies. In the second talk, we explain our lattice set-up in
details.
Primary author
Mr
Ryo Yamamura
(Osaka U.)
Co-authors
Dr
Hidenori Fukaya
(Osaka University)
Mr
Shota Yamamoto
(Osaka U.)
Prof.
Tetsuya Onogi
(Osaka University)
