PIRSA:21010014

Explicit and Inexplicit higher form symmetries at quantum criticality

APA

Xu, C. (2021). Explicit and Inexplicit higher form symmetries at quantum criticality. Perimeter Institute. https://pirsa.org/21010014

MLA

Xu, Cenke. Explicit and Inexplicit higher form symmetries at quantum criticality. Perimeter Institute, Jan. 25, 2021, https://pirsa.org/21010014

BibTex

          @misc{ pirsa_21010014,
            doi = {10.48660/21010014},
            url = {https://pirsa.org/21010014},
            author = {Xu, Cenke},
            keywords = {Condensed Matter},
            language = {en},
            title = {Explicit and Inexplicit higher form symmetries at quantum criticality},
            publisher = {Perimeter Institute},
            year = {2021},
            month = {jan},
            note = {PIRSA:21010014 see, \url{https://pirsa.org}}
          }
          

Cenke Xu University of California

Abstract

Recent years new concepts of symmetries have been developed such as higher form symmetries, and categorical symmetries. The higher form symmetries can be either explicit in a Hamiltonian, or inexplicit as a dual of an ordinary symmetry. The behavior of higher form symmetries are easy to evaluate in phases with gaps. But at quantum criticalities their behaviors are more nontrivial. We evaluate the behaviors of higher form symmetries (either explicit or inexplicit) at various quantum critical points, and demonstrate that for many quantum critical points a universal logarithmic contribution arises, which is analogous to the quantum entanglement entropy. This logarithmic contribution is related to the universal conductance at the quantum critical points, and in some cases can be computed exactly using duality between CFTs developed in last few years. We also evaluate the behavior of categorical symmetries for more exotic cases with subsystem symmetries.