A Moyal Quantization of the Continuous Toda Field
نویسنده
چکیده
Since the lightcone self dual spherical membrane, moving in flat target backgrounds, has a direct correspondence with the SU(∞) Nahm equations and the continuous Toda theory, we construct the Moyal deformations of the self dual membrane in terms of the Moyal deformations of the continuous Toda theory. This is performed by using the WeylWigner-Moyal quantization technique of the 3D continuous Toda field equation, and its associated 2D continuous Toda molecule, based on Moyal deformations of rotational Killing symmetry reductions of Plebanski first heavenly equation associated with 4D Self Dual Gravity. PACS nos : 0465. +e; 02.40. +m
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SU(∞) q-MOYAL-NAHM EQUATIONS AND QUANTUM DEFORMATIONS OF THE SELF DUAL MEMBRANE
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