# Low-energy effective action in two-dimensional SQED: a two-loop analysis

Journal of High Energy Physics, Jul 2017

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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I. B. Samsonov. Low-energy effective action in two-dimensional SQED: a two-loop analysis, Journal of High Energy Physics, 2017, 146, DOI: 10.1007/JHEP07(2017)146