transparencies
transparencies
transparencies
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Motivation World-Sheet SUSY Lie superalgebras From World-Sheet SUSY to Supertargets Outlook<br />
• Generators (<br />
GL(N|N)<br />
E αβ<br />
+ F αβ<br />
+<br />
F αβ<br />
−<br />
E αβ<br />
−<br />
• Invariant form kstr (positive/negative on bosonic part)<br />
kstr(E αβ<br />
ɛ<br />
)<br />
E γδ<br />
ɛ<br />
) = κ ′<br />
(αβ ɛ )( γδ<br />
ɛ ′ ) = kɛδ ɛɛ ′δ αδ δ βγ<br />
• Can calculate free fermion currents and stress-energy<br />
tensor<br />
• Consider GL(N) × GL(N) bosonic base generated by E αβ<br />
±<br />
• Choose initial metric on bosonic base<br />
κ start = κ ij − γ ij + 1 2 f im nf jn m<br />
• Extra terms only changes metric on U(1) factors<br />
κ start = (E αβ<br />
ɛ<br />
, E γδ<br />
ɛ<br />
) = kɛδ ′ ɛɛ ′δ αδ δ βγ − ɛɛ ′ δ αβ δ γδ<br />
• Simply corresponds to field redefinition of U(1) factors
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