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 />
Review: <strong>Representation</strong> <strong>Theory</strong> for<br />
Compact Lie Groups<br />
• SU(2) representation size: d= 2 j + 1,<br />
j = 0,½,1,…<br />
• j = 0, trivial<br />
• j= ½, d=2 fundamental representation, e.g.<br />
acted on by 2x2 matrices generated by Pauli<br />
spin matrices<br />
• j=1, d=3 Adjoint representation<br />
• ……more
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