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


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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