6 citations · 11 across the 4 of their papers we have counts for
4 papers
Weak topological phases in the presence of interactions
Omar Antolín Camarena, Arun Debray, Cameron Krulewski +3
We study weak symmetry-protected topological phases (SPTs) in the presence of short-range interactions. By comparing homotopical free and interacting classifications of these SPTs,…
The Smith Fiber Sequence and Invertible Field Theories
Arun Debray, Sanath K. Devalapurkar, Cameron Krulewski +3
Smith homomorphisms are maps between bordism groups that change both the dimension and the tangential structure. We give a completely general account of Smith homomorphisms, unifyi…
Nested cobordisms, Cyl-objects and Temperley-Lieb algebras
Maxine E. Calle, Renee S. Hoekzema, Laura Murray +3
We introduce a discrete cobordism category for nested manifolds and nested cobordisms between them. A variation of stratified Morse theory applies in this case, and yields generato…
A Long Exact Sequence in Symmetry Breaking: order parameter constraints, defect anomaly-matching, and higher Berry phases
Arun Debray, Sanath K. Devalapurkar, Cameron Krulewski +3
We study defects in symmetry breaking phases, such as domain walls, vortices, and hedgehogs. In particular, we focus on the localized gapless excitations which sometimes occur at t…