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A q-DEFORMED VERSION OF THE HEAVENLY EQUATIONS

A q-DEFORMED VERSION OF THE HEAVENLY EQUATIONS

Using a q-deformed Moyal algebra associated with the group of area-preserving diffeomorphisms of the two-dimensional torus T 2 , sdiff q (T 2 ), a q-deformed version of the heavenly equations is given. In addition, the two-dimensional chiral version of self-dual gravity in this q-deformed context is briefly discussed.