transparencies
transparencies
transparencies
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Motivation World-Sheet SUSY Lie superalgebras From World-Sheet SUSY to Supertargets Outlook<br />
• Ĝ × Ĝ affine algebra<br />
Current symmetries<br />
J a (z)J b (w) ∼ (ta , t b ) + 1 2 < ta , t b > Killing<br />
(z − w) 2 + f ab cJ c (w)<br />
(z − w)<br />
¯J a (¯z)¯J b ( ¯w) ∼ (ta , t b ) + 1 2 < ta , t b > Killing<br />
(¯z − ¯w) 2<br />
• Free fermions<br />
χ a (z)χ b (w) ∼ (ta , t b )<br />
(z − w)<br />
+ f ab c¯J c ( ¯w)<br />
(¯z − ¯w)<br />
¯χ a (¯z)¯χ b ( ¯w) ∼ (ta , t b )<br />
(¯z − ¯w)<br />
• Implies N = (1, 1) superconformal symmetry<br />
(schematically)<br />
T (z) = (J(z), J(z)) + (χ(z), ∂χ(z))<br />
G(z) = (J(z), χ(z)) + ([χ(z), χ(z)], χ(z))