{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

Aug 2006

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006tmpg.conf..201g&link_type=abstract

Topics in Mathematical Physics, General Relativity and Cosmology in Honor of Jerzy Plebański. Proceedings of 2002 International

Mathematics

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In this paper we survey some of the relations between Plebański 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-Plebański 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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