First-order formalism for β functions in bosonic sigma models from supersymmetry breaking

Gamayun, Oleksandr; Losev, Andrei; Shifman, Mikhail

doi:10.1103/physrevd.110.025017

Title: First-order formalism for β functions in bosonic sigma models from supersymmetry breaking

Journal Article · 21 July 2024 · Physical Review. D.

DOI: https://doi.org/10.1103/physrevd.110.025017 · OSTI ID:2406099

^[1]; Losev, Andrei ^[2];

^[3]

London Institute for Mathematical Sciences (United Kingdom)
Shanghai Institute for Mathematics and Interdisciplinary Sciences (China); National Research University Higher School of Economics, Moscow (Russia)
University of Minnesota, Minneapolis, MN (United States)

We consider the renormalization group flow equation for the two-dimensional sigma models with the Kähler target space. The first-order formulation allows us to treat perturbations in these models as current-current deformations. We demonstrate, however, that the conventional first-order formalism misses certain anomalies in the measure, and should be amended. We reconcile beta functions obtained within the conformal perturbation theory for the current-current deformations with traditional “geometric” results obtained in the background field methods, in this way resolving the peculiarities pointed out in O. Gamayun et al. [Peculiarities of beta functions in sigma models, J. High Energy Phys. 10 (2023) 097]. The result is achieved by the supersymmetric completion of the first-order sigma model.

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Research Organization:: University of Minnesota, Minneapolis, MN (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: SC0011842

OSTI ID:: 2406099

Journal Information:: Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 2 Vol. 110; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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