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arxiv: hep-th/9405073 · v2 · submitted 1994-05-11 · ✦ hep-th

A q-deformed Version of the Heavenly Equations

classification ✦ hep-th
keywords deformedversionequationsheavenlytwo-dimensionalalgebraareaassociated
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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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