A q-deformed Version of the Heavenly Equations

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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

Scientific paper

10.1142/S0217751X95001637

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.

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