Thursday, May 26th, 2022
Geometrical Aspects Program Seminar: Andrea Cappelli (INFN and Department of Physics, Florence, Italy)
Time: 12:00 PM - 1:00 PM
Location: 313
Title: Surface excitations of 3d Topological Insulators: conformal invariance,
self-duality and bosonization


Abstract: Massless fermions and anyons on the surface of (3+1)-dimensional topological insulators can be described at the semiclassical level by a non-local Abelian gauge theory involving two gauge fields. The theory is non-trivial owing to its solitonic excitations with electric
and magnetic charges. Upon rewriting it into a local theory in one extra dimension, we compute the partition function and the solitonic spectrum, thus showing conformal invariance and electric-magnetic self-duality. This theory also provides a framework for semiclassical bosonization of (2+1)d fermions.