Dualities in high energy and condensed matter physics

Dualities in high energy and condensed matter physics Gonzalo Torroba
Centro Atómico Bariloche, San Carlos de Bariloche, Argentina
Duality is an emergent phenomenon where a quantum many-body system admits different
classical limits. In this talk we will describe new dualities in two spatial dimensions, at the
interface between high energy and condensed matter physics. We show how they follow from
supersymmetry, and discuss applications to both fields of physics, including bosonization and
quantum Hall systems.