Graduate Theory Seminar - Sahand Seifnashri - “Topological phases protected by non-invertible symmetries”

Event time: 
Wednesday, April 17, 2024 - 1:00pm to 2:30pm
Sloane Physics Laboratory SPL, Room 51 See map
217 Prospect Street
New Haven, CT 06511
Sahand Seifnashri - Institute for Advanced Study
Event description: 

We will discuss the simplest example of SPT phases protected by non-invertible symmetries. We show that the 1+1d cluster model has a Rep(D8) non-invertible symmetry, thereby identifying it as a non-invertible SPT phase. We find two other commuting Pauli Hamiltonians for the other two Rep(D8) SPT phases, matching the classification in field theory and mathematics. Finally, we identify the projective algebra and edge modes at the interfaces between such two phases.