11 April 2016 to 15 July 2016
Institut Henri Poincaré
Europe/Paris timezone

Kapustin

Anton Kapustin, Caltech

Anomalies and symmetry protected phases of matter

Topological Quantum Field Theory (TQFT) can be fruitfully applied to the
study of gapped phases of quantum matter. I will discuss how it can be
used to classify and understand properties of short-range entangled phases
of interacting bosonic matter with symmetries. The classification turns
out to be expressed in terms of Thom bordism groups. I will also explain
how TQFT can be used to understand anomalies for finite group symmetries.
Recently it was noted that symmetry in d-dimensional QFT is described  by
a d-group rather than a group. I will explain how d-groups for d>1
naturally arise in the study of anomalies as well as the study of
fermionic phases of matter.

 

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