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Automorphisms as brane non-local transformations

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arxiv hep-th/0010242 v1 pith:6S46JXL5 submitted 2000-10-26 hep-th

classification hep-th
keywords non-localtransformationsalgebraautomorphismfoundgroupsuperpoincartype
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abstract

The relation among spacetime supersymmetry algebras and superbrane actions is further explored. It is proved that $SL(2,\bR)$ belongs to the automorphism group of the ${\cal N}=2$ D=10 type IIB SuperPoincar\'e algebra. Its SO(2) subgroup is identified with a non-local SO(2) transformation found in hep-th/9806161. Performing T-duality, new non-local transformations are found in type IIA relating, among others, BIon configurations with two D2-branes intersecting at a point. Its M-theory origin is explained. These results show that part of the SuperPoincar\'e algebra automorphism group might be realized on the field theory as non-local transformations.

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