Extended Superconformal Algebras on AdS_{3}

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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11 pages, latex; a reference added

Scientific paper

10.1016/S0370-2693(99)00070-2

We study a supersymmetric extension of the Virasoro algebra on the boundary
of the anti-de Sitter space-time AdS_{3}. Using the free field realization of
the currents, we show that the world-sheet affine Lie superalgebras
osp(1|2)^{(1)}, sl(1|2)^{(1)} and sl(2|2)^{(1)} provide the boundary N=1,2 and
4 extended superconformal algebras, respectively.

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