transparencies
transparencies
transparencies
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Motivation World-Sheet SUSY Lie superalgebras From World-Sheet SUSY to Supertargets Outlook<br />
N = (1, 1) world-sheet SUSY WZNW model<br />
[di Vecchia, Knizhnik, Petersen, Rossi]<br />
• Bosonic Lie group H<br />
• Introduce superspace in 2d: θ 1 , θ 2<br />
• Map G : Σ 2|2 ↦→ H<br />
• Components<br />
G(z, ¯z, θ α ) = g + i ¯θψ + 1 2 i ¯θθF<br />
• N = (1, 1) WZNW Lagrangian<br />
S N =(1,1)<br />
WZNW [G] = 1 ∫<br />
4λ 2 d 2 zd 2 θ tr( ¯DG −1 DG)<br />
+ k ∫<br />
d 2 xd 2 θdt tr(G −1 ∂ t G<br />
16π<br />
¯DG −1 γ 5 DG)