QFT and BeyondNo Access

Beta functions in Chirally deformed supersymmetric sigma models in two dimensions

Arkady Vainshtein

Department of Physics, University of Minnesota, Minneapolis, MN 55455, USA

William I. Fine Theoretical Physics Institute, University of Minnesota, Minneapolis, MN 55455, USA

https://doi.org/10.1142/S0217751X16450408Cited by:0 (Source: Crossref)

Abstract

We study two-dimensional sigma models where the chiral deformation diminished the original $𝒩 = (2, 2)$ supersymmetry to the chiral one, $𝒩 = (0, 2)$ . Such heterotic models were discovered previously on the world sheet of non-Abelian stringy solitons supported by certain four-dimensional $𝒩 = 1$ theories. We study geometric aspects and holomorphic properties of these models, and derive a number of exact expressions for the $β$ functions in terms of the anomalous dimensions analogous to the NSVZ $β$ function in four-dimensional Yang-Mills. Instanton calculus provides a straightforward method for the derivation.

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Beta functions in Chirally deformed supersymmetric sigma models in two dimensions

Abstract

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