Speaker
Srimoyee Sen
Description
The phenomenon of unpaired Weyl fermions appearing on the sole
2𝑛-dimensional boundary of a (2𝑛+1)-dimensional manifold with massive Dirac fermions was recently analyzed. I discuss how similar unpaired Weyl edge states can be seen on a finite lattice. In particular, I consider the discretized Hamiltonian for a Wilson fermion in (2+1) dimensions with a 1+1 dimensional boundary and continuous time. The low lying boundary spectrum is indeed Weyl-like: it has a linear dispersion relation and definite chirality and circulates in only one direction around the boundary. This results is consistent with Nielsen-Ninomiya theorem and removes one potential obstacle facing the program of regulating chiral gauge theories.
