Self-dual supersymmetry and supergravity in Atiyah-Ward space-time

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

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Abstract

We study supersymmetry and self-duality in a four-dimensional space-time with the signature (2,2), that we call the Atiyah-Ward space-time. Dirac matrices and spinors, in particular Majorana-Weyl spinors, are investigated in detail. We formulate N ≥ 1 supersymmetric self-dual Yang-Mills theories and self-dual supergravities. An N = 1 "self-dual" tensor multiplet is constructed and a possible ten-dimensional theory that gives rise to the four-dimensional self-dual supersymmetric theories is found. Instanton solutions are given as the zero modes in the N = 2 self-dual Yang-Mills theory. The N = 2 superstrings are conjectured to have no possible counter-terms at quantum level to all orders. These self-dual supersymmetric theories are to generate exactly soluble supersymmetric in lower dimensions.

Original languageEnglish
Pages (from-to)149-210
Number of pages62
JournalNuclear Physics, Section B
Volume393
Issue number1-2
DOIs
Publication statusPublished - 22 Mar 1993

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ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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