Speaker
Shu-Heng Shao (Massachusetts Institute of Technology, USA)
Date & Time
Thu, 10 October 2024, 18:00 to 19:30
Venue
Online
Resources
Abstract
Can we regularize the chiral global symmetry and its anomaly on a lattice with a finite dimensional Hilbert space? We discuss how the vector and axial U(1) symmetries of a massless Dirac fermion in 1+1d are realized in a Hamiltonian lattice model. Interestingly, these two lattice charges do not commute and form an infinite dimensional algebra, which is consistent with the Nielsen-Ninomiya theorem. After bosonization, this leads to the exact momentum and winding U(1) global symmetries in the lattice XY model.
Zoom Link: https://icts-res-in.zoom.us/j/95573366829?pwd=dhJjpK4SOLGdPXJF8Oib9pvbnzTdWU.1
Meeting ID: 955 7336 6829
Passcode: 146328