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Remarks on boundaries, anomalies, and noninvertible symmetries

Yichul Choi, Brandon C. Rayhaun, Yaman Sanghavi, Shu-Heng Shao

2023Physical review. D/Physical review. D.78 citationsDOIOpen Access PDF

Abstract

The authors provide a comprehensive study of the role of boundary conditions in the presence of generalized non-invertible symmetries, beginning with the question of when boundary conditions are symmetric under those symmetries. They find different categories of symmetric boundary conditions (which would be identical under normal symmetries) and discuss their relation to 't Hooft anomalies, gauging, and RG flows.

Topics & Concepts

Homogeneous spaceInvertible matrixBoundary (topology)MathematicsPure mathematicsBoundary value problemMathematical analysisTheoretical physicsPhysicsGeometryQuantum many-body systemsAlgebraic structures and combinatorial modelsBlack Holes and Theoretical Physics
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