Details
| Original language | English |
|---|---|
| Pages (from-to) | 69-86 |
| Number of pages | 18 |
| Journal | Nuclear Physics B |
| Volume | 707 |
| Issue number | 1-2 |
| Publication status | Published - 14 Feb 2005 |
Abstract
We study the SO(4) × SU(2) invariant and N = (1, 0) supersymmetry-preserving nilpotent (non-anticommutative) Moyal deformation of hypermultiplets interacting with an Abelian gauge multiplet, starting from their off-shell formulation in Euclidean N = (1, 1) harmonic superspace. The deformed version of a neutral or a charged hypermultiplet corresponds to the a'djoint' or the 'fundamental' representation of the deformed U (1) gauge group on the superfields involved. The neutral hypermultiplet action is invariant under N = (2,0) supersymmetry and describes a deformed N = (2, 2) gauge theory. For both the neutral and the charged hypermultiplet we present the corresponding component actions and explicitly give the Seiberg-Witten-type transformations to the undeformed component fields. Mass terms and scalar potentials for the hypermultiplets can be generated via the Scherk-Schwarz mechanism and Fayet-Iliopoulos term in analogy to the undeformed case.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
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In: Nuclear Physics B, Vol. 707, No. 1-2, 14.02.2005, p. 69-86.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Non-anticommutative deformation of N = (1, 1) hypermultiplets
AU - Ivanov, Evgeny
AU - Lechtenfeld, Olaf
AU - Zupnik, Boris
N1 - Funding Information: This work was partially supported by the INTAS grant 00-00254, by the DFG grants 436 RUS 113/669-2 and Le-838/7, by the RFBR grants 03-02-17440 and 04-02-04002, by the NATO grant PST.GLG.980302 and by a grant of the Heisenberg–Landau program. E.I. and B.Z. thank the Institute of Theoretical Physics of the University of Hannover for the warm hospitality at the initial stages of this study. Copyright: Copyright 2005 Elsevier B.V., All rights reserved.
PY - 2005/2/14
Y1 - 2005/2/14
N2 - We study the SO(4) × SU(2) invariant and N = (1, 0) supersymmetry-preserving nilpotent (non-anticommutative) Moyal deformation of hypermultiplets interacting with an Abelian gauge multiplet, starting from their off-shell formulation in Euclidean N = (1, 1) harmonic superspace. The deformed version of a neutral or a charged hypermultiplet corresponds to the a'djoint' or the 'fundamental' representation of the deformed U (1) gauge group on the superfields involved. The neutral hypermultiplet action is invariant under N = (2,0) supersymmetry and describes a deformed N = (2, 2) gauge theory. For both the neutral and the charged hypermultiplet we present the corresponding component actions and explicitly give the Seiberg-Witten-type transformations to the undeformed component fields. Mass terms and scalar potentials for the hypermultiplets can be generated via the Scherk-Schwarz mechanism and Fayet-Iliopoulos term in analogy to the undeformed case.
AB - We study the SO(4) × SU(2) invariant and N = (1, 0) supersymmetry-preserving nilpotent (non-anticommutative) Moyal deformation of hypermultiplets interacting with an Abelian gauge multiplet, starting from their off-shell formulation in Euclidean N = (1, 1) harmonic superspace. The deformed version of a neutral or a charged hypermultiplet corresponds to the a'djoint' or the 'fundamental' representation of the deformed U (1) gauge group on the superfields involved. The neutral hypermultiplet action is invariant under N = (2,0) supersymmetry and describes a deformed N = (2, 2) gauge theory. For both the neutral and the charged hypermultiplet we present the corresponding component actions and explicitly give the Seiberg-Witten-type transformations to the undeformed component fields. Mass terms and scalar potentials for the hypermultiplets can be generated via the Scherk-Schwarz mechanism and Fayet-Iliopoulos term in analogy to the undeformed case.
UR - http://www.scopus.com/inward/record.url?scp=12344311289&partnerID=8YFLogxK
U2 - 10.1016/j.nuclphysb.2004.11.052
DO - 10.1016/j.nuclphysb.2004.11.052
M3 - Article
AN - SCOPUS:12344311289
VL - 707
SP - 69
EP - 86
JO - Nuclear Physics B
JF - Nuclear Physics B
SN - 0550-3213
IS - 1-2
ER -