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

• N = (1, 1) for all λ, k<br />

Decoupling the fermions<br />

• Enhanced affine symmetry at the WZNW point<br />

λ 2 = 8π<br />

k<br />

• WZNW model is “rigid”: Fermions decouple<br />

• {t a } basis for g<br />

• Redefine ψ ↦→ χ<br />

χ = χ a t a ,<br />

¯χ = ¯χ a t a<br />

G = exp(iθχ) g exp(−i ¯θ ¯χ)<br />

S N =(1,1)<br />

WZNW [G] = S′ WZNW [g] + 1 ∫<br />

2π<br />

d 2 z (χ, ¯∂χ) + (¯χ, ∂ ¯χ)

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