Mathematical Surprises from off- shell SUSY Representation Theory
Mathematical Surprises from off- shell SUSY Representation Theory
Mathematical Surprises from off- shell SUSY Representation Theory
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Kory Stiffler - <strong>Mathematical</strong> <strong>Surprises</strong> <strong>from</strong> <strong>off</strong>-<strong>shell</strong> <strong>SUSY</strong> <strong>Representation</strong> <strong>Theory</strong> 1112.2147<br />
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e.g. CM<br />
• Color encodes transformation identity: D 1, D 2, D 3, D 4<br />
• D-operator on lower node yields upper node<br />
• D-operator on upper node yields derivative of lower node<br />
• So higher node has ½ more engineering dimensions than lower node<br />
• Dashed line encodes an overall minus sign in both transformations<br />
• Transformations <strong>from</strong> fermion to boson have an additional factor of i<br />
(imaginary number) multiplying boson.
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