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

54 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

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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