Extended Superconformal Algebras on AdS_{3}
Katsushi Ito

TL;DR
This paper explores supersymmetric extensions of the Virasoro algebra on AdS_{3} boundary, identifying specific affine Lie superalgebras that realize extended superconformal symmetries.
Contribution
It demonstrates how free field realizations of affine Lie superalgebras correspond to boundary superconformal algebras with N=1, 2, and 4 supersymmetries.
Findings
osp(1|2)^{(1)} yields N=1 superconformal algebra
sl(1|2)^{(1)} yields N=2 superconformal algebra
sl(2|2)^{(1)} yields N=4 superconformal algebra
Abstract
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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