Details
| Original language | English |
|---|---|
| Pages (from-to) | 1-24 |
| Number of pages | 24 |
| Journal | Nuclear Physics B |
| Volume | 747 |
| Issue number | 1-2 |
| Publication status | Published - 17 Jul 2006 |
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(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.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
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In: Nuclear Physics B, Vol. 747, No. 1-2, 17.07.2006, p. 1-24.
Research output: Contribution to journal › Article › Research › peer review
}
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 -