Interacting fermionic topological phases with time reversal symmetry

Date

2021/4/30 15:00〜16:00

Venue

zoom

Speaker

Dr. Ryohei Kobayashi ( The Institute for Solid State Physics, The University of Tokyo )

Language

English

Contact

ryokokur-AT-poat.kek.jp


Overview

In this talk, we discuss a recipe to produce a lattice construction of fermionic topological phases of matter on unoriented spacetime, which plays a crucial role to study topological phases or anomalies based on the time reversal symmetry. As an application, we construct a gapped boundary for a large class of fermionic SPT phases protected by finite onsite symmetry, based on our path integral description in the presence of boundaries. We will also formulate a local path integral for the (1+1)d topological superconductor in class BDI classified by Z8, and discuss its application to the problem of finding non-local order parameter for the Z8 classification if time permits.

Release date 2021/04/16 Updated 2024/03/08