Self-duality and F theory

Details Self-duality and F theory Self-duality and F theory

1996-12-16

arxiv.org/abs/hep-th/9612171v1

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, LaTeX; Talk given at the 4th Nordic Meeting `Supersymmetric Field and String Theories', (G"oteborg, Sweden, 9--11 Sep

Scientific paper

The (2,2) world-sheet supersymmetric string theory is discussed from the viewpoint of string/membrane unification. The effective field theory in the closed string target space is known to be the 2+2 dimensional (integrable) theory of self-dual gravity (SDG). A world-volume supersymmetrization of the Pleba'nski action for SDG naturally implies the maximal N=8 world-volume supersymmetry, while the maximal supersymmetrization of the dual covariant K"ahler-Lorentz-Chern-Simons action for SDG implies gauging a self-dual part of the super-Lorentz symmetry in 2+10 dimensions. The proposed OSp(32|1) supersymmetric action for the M-brane may be useful for a fundamental formulation of uncompactified F theory, with the self-duality being playing the central role both in the world-volume and in the target space of the M-brane.

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