Abstract
The N = 2 supersymmetric self-dual Yang-Mills theory and the N = 4 and N = 2self-dual supergravities in 2 + 2 space-time dimensions are formulated for the first time. These formulations utilize solutions of the Bianchi identities subject to the super-Yang-Mills or supergravity constraints in the relevant N-extended superspace with the space-time signature (2,2). The self-duality condition on the Yang-Mills field strength or on the Riemann tensor is not modified, but is accompanied by the field equations of other superpartners. These self-dual systems are conjectured to generate supersymmetric exactly soluble models in lower dimensions.
| Original language | English |
|---|---|
| Pages (from-to) | 99-104 |
| Number of pages | 6 |
| Journal | Physics Letters B |
| Volume | 297 |
| Issue number | 1-2 |
| DOIs | |
| Publication status | Published - 24 Dec 1992 |
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ASJC Scopus subject areas
- Nuclear and High Energy Physics
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Extended supersymmetry and self-duality in 2 + 2 dimensions. / James Gates, S.; Nishino, Hitoshi; Ketov, Sergei V.
In: Physics Letters B, Vol. 297, No. 1-2, 24.12.1992, p. 99-104.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Extended supersymmetry and self-duality in 2 + 2 dimensions
AU - James Gates, S.
AU - Nishino, Hitoshi
AU - Ketov, Sergei V.
PY - 1992/12/24
Y1 - 1992/12/24
N2 - The N = 2 supersymmetric self-dual Yang-Mills theory and the N = 4 and N = 2self-dual supergravities in 2 + 2 space-time dimensions are formulated for the first time. These formulations utilize solutions of the Bianchi identities subject to the super-Yang-Mills or supergravity constraints in the relevant N-extended superspace with the space-time signature (2,2). The self-duality condition on the Yang-Mills field strength or on the Riemann tensor is not modified, but is accompanied by the field equations of other superpartners. These self-dual systems are conjectured to generate supersymmetric exactly soluble models in lower dimensions.
AB - The N = 2 supersymmetric self-dual Yang-Mills theory and the N = 4 and N = 2self-dual supergravities in 2 + 2 space-time dimensions are formulated for the first time. These formulations utilize solutions of the Bianchi identities subject to the super-Yang-Mills or supergravity constraints in the relevant N-extended superspace with the space-time signature (2,2). The self-duality condition on the Yang-Mills field strength or on the Riemann tensor is not modified, but is accompanied by the field equations of other superpartners. These self-dual systems are conjectured to generate supersymmetric exactly soluble models in lower dimensions.
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U2 - 10.1016/0370-2693(92)91076-L
DO - 10.1016/0370-2693(92)91076-L
M3 - Article
VL - 297
SP - 99
EP - 104
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
SN - 0370-2693
IS - 1-2
ER -