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

Autor: Mikhail Alfimov, Ivan Kalinichenko, Alexey Litvinov
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Journal of High Energy Physics, Vol 2024, Iss 5, Pp 1-16 (2024)
Druh dokumentu: article
ISSN: 1029-8479
DOI: 10.1007/JHEP05(2024)297
Popis: Abstract We study the regularization scheme dependence of Kähler (N = 2) supersymmetric sigma models. At the one-loop order the metric β function is the same as in the non-supersymmetric case and it coincides with the Ricci tensor. The first correction in the MS scheme is known to appear in the fourth loop [1, 2]. We show that for certain integrable Kähler backgrounds, such as the complete T-dual of η-deformed CP n $$ \mathbbm{CP}(n) $$ sigma models, there is a scheme in which the fourth loop contribution vanishes.
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