### 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 language | English |
---|---|

Pages (from-to) | 149-210 |

Number of pages | 62 |

Journal | Nuclear Physics, Section B |

Volume | 393 |

Issue number | 1-2 |

DOIs | |

Publication status | Published - 22 Mar 1993 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Nuclear Physics, Section B*,

*393*(1-2), 149-210. https://doi.org/10.1016/0550-3213(93)90242-H

**Self-dual supersymmetry and supergravity in Atiyah-Ward space-time.** / Ketov, Sergei V.; Nishino, Hitoshi; Gates, S. James.

Research output: Contribution to journal › Article

*Nuclear Physics, Section B*, vol. 393, no. 1-2, pp. 149-210. https://doi.org/10.1016/0550-3213(93)90242-H

}

TY - JOUR

T1 - Self-dual supersymmetry and supergravity in Atiyah-Ward space-time

AU - Ketov, Sergei V.

AU - Nishino, Hitoshi

AU - Gates, S. James

PY - 1993/3/22

Y1 - 1993/3/22

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0011001423&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0011001423&partnerID=8YFLogxK

U2 - 10.1016/0550-3213(93)90242-H

DO - 10.1016/0550-3213(93)90242-H

M3 - Article

VL - 393

SP - 149

EP - 210

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 1-2

ER -