Speaker
Dr
Hidenori Fukaya
(Osaka University)
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
Dr
Hidenori Fukaya
(Osaka University)
Co-authors
Mr
Ryo Yamamura
(Osaka U.)
Mr
Shota Yamamoto
(Osaka University)
Prof.
Tetsuya Onogi
(Osaka University)
