Boundary Weyl anomaly of N = (2, 2) superconformal models

Abstract

We calculate the trace and axial anomalies of N = (2, 2) superconformal theories with exactly marginal deformations, on a surface with boundary. Extending recent work by Gomis et al, we derive the boundary contribution that captures the anomalous scale dependence of the one-point functions of exactly marginal operators. Integration of the bulk super-Weyl anomaly shows that the sphere partition function computes the Kähler potential K(λλ¯) on the superconformal manifold. Likewise, our results confirm the conjecture that the partition function on the supersymmetric hemisphere computes the holomorphic central charge, cΩ(λ), associated with the boundary condition Ω. The boundary entropy, given by a ratio of hemispheres and sphere, is therefore fully determined by anomalies.