transparencies
transparencies
transparencies
Create successful ePaper yourself
Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.
Motivation World-Sheet SUSY Lie superalgebras From World-Sheet SUSY to Supertargets Outlook<br />
Free fermion resolution<br />
[Quella, Schomerus]<br />
• Introduce generators for super Lie algebra<br />
( K<br />
i<br />
S a 1<br />
S 2a K i )<br />
• Non-degenerate invariant bi-linear form 〈A, B〉 = kstr(AB)<br />
〈S a 1 , S 2b〉 = kδ a b<br />
〈K i , K j 〉 ≡ κ ij<br />
• Fermions transform in representation of bosonic subgroup<br />
• Fermionic fields c, ¯c<br />
[K i , S a 1 ] = −(Ri ) a b Sb 1<br />
c = c a S 2a , ¯c = ¯c a S a 1<br />
• Parametrization (Type I supergroup)<br />
g = e c g B e¯c
Change language