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Résumé |
Quantum field theorists often perform analytic continuations of
functions, defined over integers, Dimreg, replicas, and Regge poles
being just a few examples. I suggest physical
interpretation to some of these complexifications, using
deconstruction and supersymmetry.
As an example, I explain how the good old quantum mechanics on
coadjoint orbits producing irreps of compact Lie groups becomes a four
dimensional supersymmetric gauge theory producing complex spin
representations of the associated complex Lie algebras, at the example
of the celebrated Knizhnik-Zamolodchikov equation and, if time
permits, Knizhnik-Zamolodchikov-Bernard equation, and connection to
geometric Langlands program and Hecke operators. |
