Majorana-Weyl spinors and self-dual gauge fields in 2+2 dimensions

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

Research output: Contribution to journalArticle

53 Citations (Scopus)

Abstract

The properties of Dirac gamma matrices in a four-dimensional space-time with the (2, 2) signature are studied. The basic spinors are classified, and the existence of Majorana-Weyl spinors is noted. Supersymmetry in 2+2 dimensions is discussed, and the existence of the real chiral scalar supermultiplet is discovered. Supersymmetric self-dual Yang-Mills theories and self-dual supergravity model in 2+2 dimensions, that are apparently relevant to integrable systems, are formulated for the first time.

Original languageEnglish
Pages (from-to)323-330
Number of pages8
JournalPhysics Letters B
Volume307
Issue number3-4
DOIs
Publication statusPublished - 17 Jun 1993

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Yang-Mills theory
supergravity
supersymmetry
signatures
scalars
matrices

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Majorana-Weyl spinors and self-dual gauge fields in 2+2 dimensions. / Ketov, Sergei V.; Nishino, Hitoshi; Gates, S. James.

In: Physics Letters B, Vol. 307, No. 3-4, 17.06.1993, p. 323-330.

Research output: Contribution to journalArticle

Ketov, Sergei V. ; Nishino, Hitoshi ; Gates, S. James. / Majorana-Weyl spinors and self-dual gauge fields in 2+2 dimensions. In: Physics Letters B. 1993 ; Vol. 307, No. 3-4. pp. 323-330.
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