Geometry of Topological Defects of Two-dimensional Sigma Models

Understand

A topological defect separating a pair of two-dimensional CFTs is a codimension one interface along which all components of the stress-energy tensor glue continuously.

• We study topological defects of the bosonic, (0,1)- and (0,2)-supersymmetric sigma models in two dimensions.
• We find a geometric classification of such defects closely analogous to that of A-branes of symplectic manifolds, with the role of symplectic form played instead by a neutral signature metric.
• Alternatively, we find a compact description in terms of a generalized metric on the product of the targets.