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 />
One Basis is as Good as the Next<br />
We would like to preserve the basic features<br />
• Transformation Laws:<br />
• Adinkraic: L I=(R I) T =(R I) -1<br />
• Garden Algebra:<br />
Can accomplish this with simultaneous orthogonal transformations on:<br />
• bosons:<br />
• fermions:<br />
• Adinkra matrices:<br />
T<br />
O , O O I<br />
B B B<br />
T T<br />
O , O O I<br />
F F F<br />
L OL O , R ORO<br />
T T<br />
I B I F I F I B
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