Extended supersymmetry and self-duality in 2 + 2 dimensions

S. James Gates, Hitoshi Nishino, Sergei V. Ketov

Research output: Contribution to journalArticle

39 Citations (Scopus)

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 languageEnglish
Pages (from-to)99-104
Number of pages6
JournalPhysics Letters B
Volume297
Issue number1-2
DOIs
Publication statusPublished - 24 Dec 1992

Fingerprint

supergravity
supersymmetry
Yang-Mills fields
Yang-Mills theory
field strength
signatures
tensors
formulations

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

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 journalArticle

James Gates, S. ; Nishino, Hitoshi ; Ketov, Sergei V. / Extended supersymmetry and self-duality in 2 + 2 dimensions. In: Physics Letters B. 1992 ; Vol. 297, No. 1-2. pp. 99-104.
@article{2f0acb32f8a44a97a1c7ac2c5f4258b8,
title = "Extended supersymmetry and self-duality in 2 + 2 dimensions",
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.",
author = "{James Gates}, S. and Hitoshi Nishino and Ketov, {Sergei V.}",
year = "1992",
month = "12",
day = "24",
doi = "10.1016/0370-2693(92)91076-L",
language = "English",
volume = "297",
pages = "99--104",
journal = "Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics",
issn = "0370-2693",
publisher = "Elsevier",
number = "1-2",

}

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.

UR - http://www.scopus.com/inward/record.url?scp=0002062365&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0002062365&partnerID=8YFLogxK

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 -