Why the Mickelsson-faddeev Algebra Lacks Unitary Representations
نویسنده
چکیده
A simple plausibility argument is given. Let g be a finite-dimensional Lie algebra with generators J a and structure constants f ab c. The brackets are given by [J a , J b ] = f ab c J c. Denote the symmetric Killing metric (proportional to the quadratic Casimir operator) by δ ab = tr J a J b , and let the totally symmetric third Casimir operator be d abc = tr {J a , J b }J c .
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