On β-function of N = 2 supersymmetric integrable sigma-models
Mikhail Alfimov,
Ivan Kalinichenko,
Alexey Litvinov
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 $$ \mathbbm{CP}(n) $$
CP
n
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