On β-function of N=2 supersymmetric integrable sigma-models

2023/11/23 by Mikhail Alfimov, Alfimov, Mikhail, Ivan Kalinichenko +3 · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.2311.14187

openalex publication_date 2023/11/23 · openalex created_date 2023/11/28 · openalex updated_date 2026/07/28

Abstract

We study regularization scheme dependence of Kähler (N=2) supersymmetric sigma models. At the one-loop order the metric β 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 Kähler backgrounds, such as complete T-dual of η-deformed \mathbbCP(n) sigma models, there is a scheme in which the fourth loop contribution vanishes.

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• On β-function of N=2 supersymmetric integrable sigma models II
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