Bulletin of the American Physical Society
APS March Meeting 2023
Volume 68, Number 3
Las Vegas, Nevada (March 5-10)
Virtual (March 20-22); Time Zone: Pacific Time
Session T00: Poster Session III (1pm-4pm PST)
1:00 PM,
Thursday, March 9, 2023
Room: Exhibit Hall (Forum Ballroom)
Sponsoring
Unit:
APS
Abstract: T00.00051 : Bulk-boundary correspondence for intrinsically-gapless SPTs from group cohomology
Presenter:
Rui Wen
(University of British Columbia)
Authors:
Rui Wen
(University of British Columbia)
Andrew C Potter
(University of British Columbia)
Recent studies on gapless SPT(gSPT) have revealed interesting relations between their topological edge modes and emergent anomalies. In this work we take a further step towards systematical construction of gSPT from cohomology data and establish a direct connection between emergent anomaly, group extension, and topological edge states for any internal symmetry group in any dimension. In 2 and higher dimensions the emergent anomaly can also be satisfied by anomalous symmetry enriched topological order, which we refer to as quotient-symmetry enriched topological order(QSET) that is sharply distinguished from non-anomalous SETs by an edge phase transition.
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