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 />
Data Supporting Surprise 3: A conjecture:<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, the<br />
numbers of its n c cis- and n t trans-Adinkras<br />
Conjecture works for the following 4D N=1 <strong>off</strong> <strong>shell</strong> multiplets each with<br />
d = 4 fermion = 4 boson d.o.f:<br />
Chiral Multiplet<br />
(n c = 1, n t = 0)<br />
Vector Multiplet<br />
(n c = 0, n t = 1)<br />
Tensor Multiplet<br />
(n c = 0, n t = 1)<br />
What about more complicated multiplets?<br />
• Real Scalar Superfield Multiplet (d=8 fermion = 8 boson d.o.f.)<br />
• Complex Linear Superfield Multiplet (d=12 fermion =12 boson d.o.f.)
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