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

Deformations with chiral fields<br />

• N = (2, 2) WS SUSY: chiral and twisted chiral<br />

supermultiplets (and anti-)<br />

• Classical SUSY-preserving deformation by F- and D-terms<br />

• Chiral multiplet generated by field in (++)-ring<br />

• Remaining components<br />

[G + −1/2 , φ ++] = [Ḡ+ −1/2 , φ ++] = 0<br />

ψ ++ = −[G − −1/2 , φ ++], ¯ψ ++ = −[Ḡ− −1/2 , φ ++]<br />

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

• F-term perturbation non-exact in twisted theory<br />

• Anti-chiral and twisted (anti-)chiral F-term perturbations<br />

are exact in G + + Ḡ+ cohomology

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