Superstrings from Hamiltonian Reduction

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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32p, LaTeX, CERN-TH.7379/94

Scientific paper

10.1016/0550-3213(94)00539-Q

In any string theory there is a hidden, twisted superconformal symmetry algebra, part of which is made up by the BRST current and the anti-ghost. We investigate how this algebra can be systematically constructed for strings with $N\!-\!2$ supersymmetries, via quantum Hamiltonian reduction of the Lie superalgebras $osp(N|2)$. The motivation is to understand how one could systematically construct generalized string theories from superalgebras. We also briefly discuss the BRST algebra of the topological string, which is a doubly twisted $N\!=\!4$ superconformal algebra.

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