Comments on supersymmetric renormalization in two-dimensional curved spacetime

Abstract

In this technical note we introduce a manifestly gauge-invariant and supersymmetric procedure to regularize and renormalize one-loop divergences of chiral multiplets in two-dimensional N=(2,2) theories in curved spacetime. We apply the method, a version of Pauli-Villars regularization, to known examples of supersymmetric localization and demonstrate that the partition functions are renormalized. An accompanying ancillary file, a Mathematica notebook, implements the relevant supergravity transformations.

19 pages, comes with a Mathematica notebook; version 2: counterterm action slightly improved, comments and references added, typos corrected

References in corpus (4)

• A topologically twisted index for three-dimensional supersymmetric theories
• The equivariant A-twist and gauged linear sigma models on the two-sphere
• Comments on N=(2,2) Supersymmetry on Two-Manifolds
• Quantum supergravity, supergravity anomalies and string phenomenology

Cited by in corpus (2)

• Janus interface in two-dimensional supersymmetric gauge theories
• Topological phase, spin Chern-Simons theory and level rank duality on lens space