transparencies
transparencies
transparencies
You also want an ePaper? Increase the reach of your titles
YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.
Motivation World-Sheet SUSY Lie superalgebras From World-Sheet SUSY to Supertargets Outlook<br />
Bosonic screening charges<br />
• Free fermion resolution gave us<br />
S 0 = Sren WZNW [g B ] − 1 ∫<br />
dz 2√ hR (2) 1<br />
4π<br />
2 ln det R(g B)<br />
+ 1 ∫<br />
dz 2 ( b a ¯∂c a −<br />
2π<br />
¯b a ∂¯c a)<br />
• GL(2) Gauss decomposition<br />
exp γ<br />
( ) ( ( ) ( ))<br />
0 1<br />
1 0 1 0<br />
exp φ<br />
0 0<br />
0 + φ<br />
0 1 z exp ¯γ<br />
0 −1<br />
• First order formalism: Introduce auxiliary fields β and ¯β<br />
∫<br />
Sren WZNW [g B ] = S kin+b.g. [φ 0 , φ z , β, γ] + d 2 zβ ¯βe φz/√ k<br />
• Screening charges are chiral F-terms.<br />
( ) 0 0<br />
1 0