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

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dc.creatorDe Castro, A.
dc.creatorIvanov, E.
dc.creatorLechtenfeld, O.
dc.creatorQuevedo, L.
dc.date2005-10-03
dc.date2006-04-13
dc.date.accessioned2026-07-07T11:06:09Z
dc.date.available2026-07-07T11:06:09Z
dc.descriptionWe 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.
dc.description1+30 pages. Eq. (3.36) corrected. Extended concluding remarks. Version to appear in NPB
dc.identifierhttps://arxiv.org/abs/hep-th/0510013
dc.identifierhttp://arxiv.org/abs/hep-th/0510013
dc.identifierNucl.Phys.B747:1-24,2006
dc.identifierdoi:10.1016/j.nuclphysb.2006.04.005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/189427
dc.subjectHigh Energy Physics - Theory
dc.titleNon-singlet Q-deformation of the N=(1,1) gauge multiplet in harmonic superspace
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