transparencies

Motivation World-Sheet SUSY Lie superalgebras From World-Sheet SUSY to Supertargets Outlook
Deformations
• Wide range of deformations with background charges
• Define a 0
a 0 = {x ∈ g | (x, y) = 0 ∀ y ∈ [a + , a + ] ⊕ [a − , a − ]}
• a = p i x i + q i x i ∈ a 0
G a
+ = G + + q i ∂χ i
• Implies
G − a
= G − + p i ∂χ i
U a (z) = U(z) + p i I i (z) − q i I i (z)
T a (z) = T (z) + 1 2 (pi ∂I i (z) + q i ∂I i (z))
• Super-version of affine currents
I i = J i − c k ij :χ j χ k : − 1 2 f jk i :χ j χ k :
I i = J i − f ij k :χ j χ k : − 1 2 c jk i :χ j χ k :