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

self-duality and bosonization

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.

**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 electricand 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.