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Motivation World-Sheet SUSY Lie superalgebras From World-Sheet SUSY to Supertargets Outlook<br />

AdS 3 × S 3 × T 4<br />

D1-D5 brane system on T 4 with near-horizon limit<br />

AdS 3 × S 3 × T 4 . After S-duality we have N = (1, 1) WS SUSY<br />

WZNW model on SL(2) × SU(2) × U 4 . It has N = (2, 2)<br />

superconformal symmetry (as we will see).<br />

Hybrid formalism of string theory on AdS 3 × S 3 gives a sigma<br />

model on PSU(1,1|2) .<br />

RR-flux is deformation away from WZ-point.<br />

[Berkovits, Vafa, Witten]<br />

Dual 2-dimensional CFT is deformation of symmetric orbifold<br />

Sym N (T 4 ) = (T 4 ) N /S N . It has N = (4, 4) superconformal<br />

symmetry.

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