Event time:

Wednesday, April 17, 2024 - 1:00pm to 2:30pm

Location:

Sloane Physics Laboratory (SPL), Room 51

217 Prospect Street

New Haven, CT
06511
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.

Contact:

Kirstin Franzman