A q-deformed Version of the Heavenly Equations

Abstract

Using a $q$-deformed Moyal algebra associated with the group of area preserving diffeomorphisms of th two-dimensional torus $T^2$, sdiff${}_q(T^2)$, a $q$-deformed version for the Heavenly equations is given. Finally, the two-dimensional chiral version of Self-dual gravity in this $q$-deformed context is briefly discussed.

18 pages. LaTex, no figures, extended and corrected version

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