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World volume realization of automorphisms. (English) Zbl 1248.81070

Duplij, Steven (ed.) et al., Noncommutative structures in mathematics and physics. Dordrecht: Kluwer Academic Publishers (ISBN 0-7923-6998-X). NATO Sci. Ser. II, Math. Phys. Chem. 22, 259-270 (2001).
Summary: The relation among spacetime supersymmetry algebras and the world volume approach to string theory is reviewed. The realization of some of the automorphism transformations of these superalgebras on the world volume theory is discussed. We distinguish among linear realizations and non-local ones. The consistency of the latter with duality in M/string theory is checked.
For the entire collection see [Zbl 0964.00024].

MSC:

81R05 Finite-dimensional groups and algebras motivated by physics and their representations
81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory