N=2 String Geometry and the Heavenly Equations

Details N=2 String Geometry and the Heavenly Equations N=2 String Geometry and the Heavenly Equations

2004-05-22

arxiv.org/abs/hep-th/0405197v2

Physics

High Energy Physics

High Energy Physics - Theory

19+1 pages, 3 figures, corrected types, added references and comments,to appear in the proceedings of the conference: Topics i

Scientific paper

In this paper we survey some of the relations between Plebanski description of self-dual gravity through the heavenly equations and the physics (and mathematics) of N=2 Strings. In particular we focus on the correspondence between the infinite hierarchy in the ground ring structure of BRST operators and its associated Boyer-Plebanski construction of infinite conserved quantities in self-dual gravity. We comment on ``Mirror Symmetry'' in these models and the large-N duality between topological N=4 gauge theories in two dimensions and topological gravity in four dimensions. Finally D-branes in this context are briefly outlined.

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