Comments on supersymmetric renormalization in two-dimensional curved spacetime
High Energy Physics - Theory
2018-01-17 v2
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.
Cite
@article{arxiv.1705.06118,
title = {Comments on supersymmetric renormalization in two-dimensional curved spacetime},
author = {Takuya Okuda},
journal= {arXiv preprint arXiv:1705.06118},
year = {2018}
}
Comments
19 pages, comes with a Mathematica notebook; version 2: counterterm action slightly improved, comments and references added, typos corrected