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Motivation World-Sheet SUSY Lie superalgebras From World-Sheet SUSY to Supertargets Outlook<br />
Lie superalgebras and supergroups<br />
• Lie Superalgebra G = G 0 ⊕ G 1<br />
• Z 2 graded product<br />
[G 0 , G 0 ] ⊂ G 0 ( subalgebra)<br />
[G 0 , G 1 ] ⊂ G 1<br />
[G 1 , G 1 ] ⊂ G 0<br />
• Graded anti-symmetry<br />
[X, Y ] = −[Y , X]<br />
[X, Y ] = −[Y , X]<br />
[X, Y ] = [Y , X]<br />
• Generalised Jacobi identity
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