On $\beta$-function of $N=2$ supersymmetric integrable sigma-models
High Energy Physics - Theory
2023-11-27 v1
Abstract
We study regularization scheme dependence of K\"ahler () supersymmetric sigma models. At the one-loop order the metric function is the same as in non-supersymmetric case and coincides with the Ricci tensor. First correction in MS scheme is known to appear in the fourth loop. We show that for certain integrable K\"ahler backgrounds, such as complete dual of -deformed sigma models, there is a scheme in which the fourth loop contribution vanishes.
Cite
@article{arxiv.2311.14187,
title = {On $\beta$-function of $N=2$ supersymmetric integrable sigma-models},
author = {Mikhail Alfimov and Ivan Kalinichenko and Alexey Litvinov},
journal= {arXiv preprint arXiv:2311.14187},
year = {2023}
}