On The Instanton Solutions Of The Self-Dual Membrane In Various Dimensions
classification
✦ hep-th
keywords
solutionsdeterminingdimensionsself-dualaxialcentralconfigurationscontinuous
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We present some methods of determining explicit solutions for self-dual supermembranes in 4+1 and 8+1 dimensions with spherical or toroidal topology. For configurations of axial symmetry, the continuous SU(\infty) Toda equation turns out to play a central role, and a specific method of determining all the periodic solutions are suggested. A number of examples are studied in detail.
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