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

Sigma models on supergroups: AdS/CFT<br />

The group of global symmetries of the gauge theory and also of<br />

the dual string theory is a Lie supergroup G.<br />

The dual string theory is described by a two-dimensional sigma<br />

model on a superspace.<br />

AdS 5 × S 5 PSU(2, 2|4)<br />

SO(4, 1) × SO(5)<br />

AdS 2 × S 2 PSU(1, 1|2)<br />

U(1) × U(1)<br />

supercoset<br />

supercoset<br />

AdS 3 × S 3 PSU(1, 1|2) supergroup<br />

AdS 3 × S 3 × S 3 D(2, 1; α) supergroup<br />

Obtained using GS or hybrid formalism. What about RNS<br />

formalism? And what are the precise relations?

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