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Motivation World-Sheet SUSY Lie superalgebras From World-Sheet SUSY to Supertargets Outlook<br />

• Deformation parameter<br />

Fix deformations<br />

a 0 = span{x αα , ∑ α<br />

x αα }<br />

a = p αα x αα + q ∑ α<br />

x αα<br />

• Twist<br />

T +<br />

twisted = T N =(2,2)<br />

a + 1 2 ∂U a<br />

• p αα fixed by<br />

T +<br />

twisted = T GL(N|N)<br />

• The single remaining parameter q fixed by<br />

G + a is fermionic current<br />

• c = 3N 2 ↦→ c a = 0 (before twisting)<br />

• Whole deformation can be seen as background charge

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