Supersymmetric self-dual Yang-Mills and supergravity as background of the Green-Schwarz superstring

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

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27 Citations (Scopus)


We present the Green-Schwarz σ-model coupled to the N=1 supersymmetric Yang-Mills and supergravity in a four-dimensional space-time with the indefinite signature (+, +, -, -). We first confirm the κ-invariance of the Green-Schwarz action, and show that all the β-functions for the backgrounds vanish consistently after the use of their superfield equations. Subsequently, we inspect the supersymmetric self-duality conditions, that have been developed in our previous paper on the Yang-Mills and supergravity backgrounds. Remarkably, the Majorana-Weyl spinor dictating the supersymmetric self-duality conditions is consistent with the couplings of the Green-Schwarz superstring. Such a Green-Schwarz superstring is supposed to be the underlying theory of the supersymmetric self-dual Yang-Mills theory, which is conjectured to generate all exactly soluble supersymmetric systems in lower dimensions.

Original languageEnglish
Pages (from-to)331-338
Number of pages8
JournalPhysics Letters B
Issue number3-4
Publication statusPublished - 17 Jun 1993

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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