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The Generalized Moyal Nahm and Continuous Moyal Toda Equations
Carlos Castro, Jerzy Plebanski
We present in detail a class of solutions to the Moyal Anti Self Dual Yang Mills equations that are related to of the generalized Moyal Nahm quations u…
Beyond Strings, Multiple Times and Gauge Theories of Area-Scalings Relativistic Transformations
Carlos Castro
Nottale's special scale-relativity principle was proposed earlier by the author as a plausible geometrical origin to string theory and extended objects. Scale Relativity is to scal…
The Spinning Membrane and Skyrmions Revisited
Carlos Castro
A local world volume Q-supersymmetric Weyl invariant Lagrangian for the membrane is presented. An analysis is provided which solves the problems raised by some authors in the past…
SU(infinity) q-Moyal-Nahm Equations and Quantum Deformations of the Self Dual Membrane
Carlos Castro
Since the lightcone self dual spherical membrane, moving in flat target backgrounds, has a direct correspondence with the SU(\infty) Nahm equations and the continuous Toda theory,…
A Moyal Quantization of the Continuous Toda Field
Carlos Castro
Since the lightcone self dual spherical membrane, moving in flat target backgrounds, has a direct correspondence with the Nahm equations and the continuous Toda theory…