Atiyah–Patodi–Singer index theorem for domain walls

DOI10.1088/1751-8121/ab9385OpenAlexW3105694343MaRDI QIDQ5871312

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Publication date: 19 January 2023

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.06674

zbMATH Keywords

domain wallsheat kernel expansionindex theoremanomalies

Mathematics Subject Classification ID

Quantum theory (81-XX) Statistical mechanics, structure of matter (82-XX)

Related Items (5)

Interface conformal anomalies ⋮ Anomaly inflow for local boundary conditions ⋮ Zero modes of the Laplace operator in two-loop calculations in the Yang-Mills theory ⋮ Comments on the Atiyah-Patodi-Singer index theorem, domain wall, and Berry phase ⋮ Index theorem for domain walls

Cites Work

• Operators, geometry and quanta. Methods of spectral geometry in quantum field theory
• Anomalies and odd dimensions
• Gravitational parity anomaly with and without boundaries
• Diagram technique for the heat kernel of the covariant Laplace operator
• Index theorems and domain walls
• Spectral asymmetry and Riemannian Geometry. I
• Heat kernel expansion for semitransparent boundaries
• Heat trace asymptotics with transmittal boundary conditions and quantum brane-world scenario
• Heat kernel expansions for distributional backgrounds
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