TY - JOUR

T1 - Non-singlet Q-deformation of the N = (1, 1) gauge multiplet in harmonic superspace

AU - De Castro, A.

AU - Ivanov, E.

AU - Lechtenfeld, O.

AU - Quevedo, L.

N1 - Copyright: Copyright 2006 Elsevier B.V., All rights reserved.

PY - 2006/7/17

Y1 - 2006/7/17

N2 - 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(i k)(α β) = c(α β) b(i k). This choice 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. This should be contrasted with the generic choice for which the analogous results are known only to a few orders in the deformation parameters. 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 cosh2 (2 over(φ{symbol}, ̄) sqrt(cα β cα β bi k bi k)), with over(φ{symbol}, ̄) being 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(i k) b(i k) = 0 which preserves the N = (1, frac(1, 2)) fraction of N = (1, 1) supersymmetry.

AB - 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(i k)(α β) = c(α β) b(i k). This choice 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. This should be contrasted with the generic choice for which the analogous results are known only to a few orders in the deformation parameters. 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 cosh2 (2 over(φ{symbol}, ̄) sqrt(cα β cα β bi k bi k)), with over(φ{symbol}, ̄) being 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(i k) b(i k) = 0 which preserves the N = (1, frac(1, 2)) fraction of N = (1, 1) supersymmetry.

UR - http://www.scopus.com/inward/record.url?scp=33744926454&partnerID=8YFLogxK

U2 - 10.1016/j.nuclphysb.2006.04.005

DO - 10.1016/j.nuclphysb.2006.04.005

M3 - Article

AN - SCOPUS:33744926454

VL - 747

SP - 1

EP - 24

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 1-2

ER -