Abstract
We study two-loop quantum corrections to the low-energy effective actions in \( \mathcal{N}=\left(2,2\right) \) and \( \mathcal{N}=\left(4,4\right) \) SQED on the Coulomb branch. In the latter model, the low-energy effective action is described by a generalized Kähler potential which depends on both chiral and twisted chiral superfields. We demonstrate that this generalized Kähler potential is one-loop exact and corresponds to the \( \mathcal{N}=\left(4,4\right) \) sigma-model with torsion presented by Roček, Schoutens and Sevrin [1]. In the \( \mathcal{N}=\left(2,2\right) \) SQED, the effective Kähler potential is not protected against higher-loop quantum corrections. The two-loop quantum corrections to this potential and the corresponding sigma-model metric are explicitly found.
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Samsonov, I.B. Low-energy effective action in two-dimensional SQED: a two-loop analysis. J. High Energ. Phys. 2017, 146 (2017). https://doi.org/10.1007/JHEP07(2017)146
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DOI: https://doi.org/10.1007/JHEP07(2017)146