Classical Hamiltonian Reduction and Superconformal Algebras

Details Classical Hamiltonian Reduction and Superconformal Algebras Classical Hamiltonian Reduction and Superconformal Algebras

1992-07-03

arxiv.org/abs/hep-th/9207012v2

Phys.Lett. B313 (1993) 68-74

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, revised version contains minor grammatical changes and an update of refernces

Scientific paper

10.1016/0370-2693(93)91192-P

The Polyakov's "soldering procedure" which shows how two-dimensional diffeomorphisms can be obtained from SL(2,R) gauge transformations is discussed using the free-field representation of SL(2,R) current algebra. Using this formalism, the relation of Polyakov's method to that of the Hamiltonian reduction becomes transparent. This discussion is then generalised to N=1 superdiffeomorphisms which can be obtained from N=1 super Osp(1,2) gauge transformations. It is also demonstrated that the phase space of the Osp(2,2) supercurrent algebra represented by free superfields is connected to the classical phase space of N=2 superconformal algebra via Hamiltonian reduction.}

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