Status  Confirmed 
Seminar Series  PTIHES 
Subjects  hepth 
Date  Thursday 20 June 2024 
Time  10:00 
Institute  IHES 
Seminar Room  Amphithéâtre Léon Motchane 
Speaker's Last Name  Kapustin 
Speaker's First Name  Anton 
Speaker's Email Address  
Speaker's Institution  Caltech et IHES 
Title  Anomalies on a Lattice 
Abstract  I will discuss two lattice avatars of ’t Hooft anomalies. The first one involves an action of a symmetry group on observables of a 1d spin system. It is related to a generalization of the LiebSchultzMattis theorem. The second one concerns symmetries of gapped states of spin systems. I will argue that the Hall conductance and other topological invariants of symmetric gapped states can be interpreted as obstructions to localizing the symmetry even approximately. 
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