transparencies
transparencies
transparencies
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Motivation World-Sheet SUSY Lie superalgebras From World-Sheet SUSY to Supertargets Outlook<br />
Lie superalgebras and supergroups<br />
• Fundamental supermatrix representation, gl(M|N)<br />
( ) A B<br />
M =<br />
C D<br />
• Supertrace (invariant, supersymmetric bilinear form)<br />
strM = tr(A) − tr(D)<br />
• Grassmann envelope η (0)<br />
a T (0)<br />
a + η (1)<br />
b T (1)<br />
b<br />
η (0)<br />
a , η (1)<br />
b<br />
Grassmann elements<br />
T (0)<br />
a , T (1)<br />
b<br />
basis for G = G 0 ⊕ G 1<br />
• Supergroup<br />
(<br />
)<br />
exp η (0)<br />
a T (0)<br />
a + η (1)<br />
b T (1)<br />
b
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