Details
| Original language | English |
|---|---|
| Pages (from-to) | 331-346 |
| Number of pages | 16 |
| Journal | Journal of high energy physics |
| Volume | 8 |
| Issue number | 2 |
| Publication status | Published - 1 Feb 2004 |
Abstract
We investigate deformations of four-dimensional N = (1, 1) euclidean super-space induced by nonanticommuting fermionic coordinates. We essentially use the harmonic superspace approach and consider nilpotent bi-differential Poisson operators only. One variant of such deformations (termed chiral nilpotent) directly generalizes the recently studied chiral deformation of N = (1/2, 1/2) superspace. It preserves chirality and harmonic analyticity but generically breaks N = (1, 1) to N = (1, 0) supersymmetry. Yet, for degenerate choices of the constant deformation matrix N = (1, 1/2) supersymmetry can be retained, i.e. a fraction of 3/4. An alternative version (termed analytic nilpotent) imposes minimal nonanticommutativity on the analytic coordinates of harmonic superspace. It does not affect the analytic subspace and respects all supersymmetries, at the expense of chirality however. For a chiral nilpotent deformation, we present non(anti)commutative euclidean analogs of N = 2 Maxwell and hypermultiplet off-shell actions.
Keywords
- Extended Supersymmetry, Non-Commutative Geometry, Superspaces
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
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In: Journal of high energy physics, Vol. 8, No. 2, 01.02.2004, p. 331-346.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Nilpotent deformations of N = 2 superspace
AU - Ivanov, Evgeny
AU - Zupnik, Boris
AU - Lechtenfeld, Olaf
N1 - Copyright: Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2004/2/1
Y1 - 2004/2/1
N2 - We investigate deformations of four-dimensional N = (1, 1) euclidean super-space induced by nonanticommuting fermionic coordinates. We essentially use the harmonic superspace approach and consider nilpotent bi-differential Poisson operators only. One variant of such deformations (termed chiral nilpotent) directly generalizes the recently studied chiral deformation of N = (1/2, 1/2) superspace. It preserves chirality and harmonic analyticity but generically breaks N = (1, 1) to N = (1, 0) supersymmetry. Yet, for degenerate choices of the constant deformation matrix N = (1, 1/2) supersymmetry can be retained, i.e. a fraction of 3/4. An alternative version (termed analytic nilpotent) imposes minimal nonanticommutativity on the analytic coordinates of harmonic superspace. It does not affect the analytic subspace and respects all supersymmetries, at the expense of chirality however. For a chiral nilpotent deformation, we present non(anti)commutative euclidean analogs of N = 2 Maxwell and hypermultiplet off-shell actions.
AB - We investigate deformations of four-dimensional N = (1, 1) euclidean super-space induced by nonanticommuting fermionic coordinates. We essentially use the harmonic superspace approach and consider nilpotent bi-differential Poisson operators only. One variant of such deformations (termed chiral nilpotent) directly generalizes the recently studied chiral deformation of N = (1/2, 1/2) superspace. It preserves chirality and harmonic analyticity but generically breaks N = (1, 1) to N = (1, 0) supersymmetry. Yet, for degenerate choices of the constant deformation matrix N = (1, 1/2) supersymmetry can be retained, i.e. a fraction of 3/4. An alternative version (termed analytic nilpotent) imposes minimal nonanticommutativity on the analytic coordinates of harmonic superspace. It does not affect the analytic subspace and respects all supersymmetries, at the expense of chirality however. For a chiral nilpotent deformation, we present non(anti)commutative euclidean analogs of N = 2 Maxwell and hypermultiplet off-shell actions.
KW - Extended Supersymmetry
KW - Non-Commutative Geometry
KW - Superspaces
UR - http://www.scopus.com/inward/record.url?scp=23044489742&partnerID=8YFLogxK
U2 - 10.1088/1126-6708/2004/02/012
DO - 10.1088/1126-6708/2004/02/012
M3 - Article
AN - SCOPUS:23044489742
VL - 8
SP - 331
EP - 346
JO - Journal of high energy physics
JF - Journal of high energy physics
SN - 1029-8479
IS - 2
ER -