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 />
Conjecture works for Tensor Multiplet:<br />
All 4D N=1 <strong>SUSY</strong> <strong>off</strong>-<strong>shell</strong> multiplets can be represented by their <strong>SUSY</strong> enantiomer numbers:<br />
the numbers of its n c cis- and n t trans-valise Adinkras<br />
“Reflection”<br />
about<br />
“orange” axis<br />
(n c = 1, n t = 0) (n c = 0, n t = 1)<br />
cis-Adinkra trans-Adinkra<br />
The tensor multiplet can be represented by the trans-Adinkra and has (n c = 0, n t = 1), and<br />
of course, it’s chromocharacters match up with these numbers:
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