transparencies
transparencies
transparencies
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Motivation World-Sheet SUSY Lie superalgebras From World-Sheet SUSY to Supertargets Outlook<br />
[Getzler]<br />
Manin decomposition<br />
• Current construction possible if algebra has Manin<br />
decomposition<br />
g = a + ⊕ a −<br />
• a ± isotropic Lie subalgebras<br />
• {x i } basis a +<br />
• {x i } dual basis a −<br />
(x i , x j ) = δ j i<br />
[x i , x j ] = c k ij x k<br />
[x i , x j ] = f ij kx k<br />
[x i , x j ] = c j ki x k + f jk ix k<br />
• Fermions now ( 1 2 , 1 2<br />
) ghost systems<br />
χ j (z)χ i (w) ∼ δj i /(z − w)
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