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Non-singlet Q-deformation of the N=(1,1) gauge multiplet in harmonic superspace

A. De Castro·E. Ivanov·O. Lechtenfeld·L. Quevedo
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Abstract

We study a non-anticommutative chiral non-singlet deformation of the N=(1,1) abelian gauge multiplet in Euclidean harmonic superspace with a product ansatz for the deformation matrix, C^{(αβ)}_{(ik)} = c^{(αβ)}b_{(ik)}. This allows us to obtain in closed form the gauge transformations and the unbroken N=(1,0) supersymmetry transformations preserving the Wess-Zumino gauge, as well as the bosonic sector of the N=(1,0) invariant action. As in the case of a singlet deformation, the bosonic action can be cast in a form where it differs from the free action merely by a scalar factor. The latter is now given by \cosh^2 (2\barϕ\sqrt{c^2 b^2}}), with \barϕbeing one of two scalar fields of the N=(1,1) vector multiplet. We compare our results with previous studies of non-singlet deformations, including the degenerate case b^2=0 which preserves the N=(1,1/2) fraction of N=(1,1) supersymmetry.

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A. De Castro, E. Ivanov, O. Lechtenfeld, L. Quevedo. 2006-04-13. Non-singlet Q-deformation of the N=(1,1) gauge multiplet in harmonic superspace. https://doi.org/10.1016/j.nuclphysb.2006.04.005

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