On $\beta$function of $N=2$ supersymmetric integrable sigmamodels
Abstract
We study regularization scheme dependence of Kähler ($N=2$) supersymmetric sigma models. At the oneloop order the metric $\beta$ function is the same as in nonsupersymmetric 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 Kähler backgrounds, such as complete $T$dual of $\eta$deformed $\mathbb{CP}(n)$ sigma models, there is a scheme in which the fourth loop contribution vanishes.
 Publication:

arXiv eprints
 Pub Date:
 November 2023
 DOI:
 10.48550/arXiv.2311.14187
 arXiv:
 arXiv:2311.14187
 Bibcode:
 2023arXiv231114187A
 Keywords:

 High Energy Physics  Theory