28 July 2024 to 3 August 2024
Europe/London timezone

Discrete symmetry and 't Hooft anomalies for 3450 model

30 Jul 2024, 12:15
20m
Talk Theoretical Developments Theoretical developments

Speaker

Tetsuya Onogi (Osaka University)

Description

We report our study of the discrete symmetry for lattice 3450 model
proposed by Wang and Wen. .

Lattice 3450 model is expected to describe the anomaly free chiral U(1) gauge theory in 1+1 dimension using 2+1 dimensional domain-wall fermion with gapping interactions for the mirror sector.

We find that the lattice model has exact discrete symmetry in addition to U(1) x U(1) symmetry.

Asuuming the Zumino-Stora procedure works also for discrete symmetry, we compute the full 't Hooft anomaly for the target continuum U(1) chiral gauge theory with the same discrete symmetry. We show that the mixed and self anomalies involving the discrete symmetry are absent, which is consistent with the expectation that the lattice 3450 produces chiral U(1) gauge theory in the continuum limit.

Primary author

Tetsuya Onogi (Osaka University)

Co-authors

Mr Hiroki Wada (Osaka University) Mr Tatsuya Yamaoka (Osaka University)

Presentation materials