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

Principal chiral field deformations<br />

• Principal chiral field<br />

S geom. = − k ∫<br />

∫<br />

d 2 z 〈g −1 ∂g, g −1 ¯∂g〉 ≡<br />

4π<br />

d 2 z Φ principal<br />

• PSU(1, 1|2) deformation of coefficient principal chiral field<br />

to turning on RR-flux in string theory<br />

• Can show this is D-term<br />

• Is G + -exact<br />

Φ principal = −{G + −1/2 , [Ḡ+ −1/2 , φ]}<br />

φ = − 1 ( 0 Id<br />

4πk 〈 Id 0<br />

) (<br />

g −1 0 Id<br />

Id 0<br />

)<br />

Jg¯J〉

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