Particle-vortex duality and applications to condensed matter

Seminars | Tuesday, November 14, 2017 | 10:30:00
Horatiu Nastase

Dualities play an important role in physics. Recently, particle-vortex dualities in 2+1 dimensions have begun to be studied in great detail, and one obtains "webs of dualities" for theories with Chern-Simons terms. I show that particle-vortex dualities can be implemented at the path integral level, can be made nonabelian, and there is a web of abelian dualities, based on a basic bosonization duality, that has applications to condensed matter and in a certain limit can be derived explicitly.