Index Theorem for Domain Walls

Abstract

The paper is devoted to the discussion of index theorem for domain walls condition. We give an extension of the theorem to the case, when not only Yang-Mills connection components have a jump on some surface of co-dimension 1, but also components of a Riemannian connection, while a metric remains continuous.

LaTeX, 5 pages, the second version contains some changes (definition and notations)

References in corpus (4)

• Anomaly Inflow and the $\eta$-Invariant
• The Atiyah-Patodi-Singer index and domain-wall fermion Dirac operators
• Atiyah-Patodi-Singer Index Theorem for Domain Walls
• Interface Conformal Anomalies

Cited by in corpus (1)

• Anomaly inflow for local boundary conditions