356 citations · 2.7k across the 47 of their papers we have counts for
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Fermionic Symmetry Protected Topological Phases and Cobordisms
Anton Kapustin, Ryan Thorngren, Alex Turzillo +1
It has been proposed recently that interacting Symmetry Protected Topological (SPT) phases can be classified using cobordism theory. We test this proposal in the case of fermionic…
Anomalies of discrete symmetries in various dimensions and group cohomology
Anton Kapustin, Ryan Thorngren
We study 't Hooft anomalies for discrete global symmetries in bosonic theories in 2, 3 and 4 dimensions. We show that such anomalies may arise in gauge theories with topological te…
Framed Wilson Operators, Fermionic Strings, and Gravitational Anomaly in 4d
Ryan Thorngren
We study gapped systems with anomalous time-reversal symmetry and global gravitational anomaly in three and four spacetime dimensions. These systems describe topological order on t…
Anomalies of discrete symmetries in three dimensions and group cohomology
Anton Kapustin, Ryan Thorngren
We study 't Hooft anomalies for a global discrete internal symmetry G. We construct examples of bosonic field theories in three dimensions with a non-vanishing 't Hooft anomaly for…