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Little Group Method

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Peter Moody
Universität Bonn
Thu, 11/04/2024 - 11:30 - 14:00
MPIM Seminar Room
Parent event: 
MPIM Math-Phys Seminar

The little group method, or Mackey theory as it is known to Mathematicians, is a way of constructing unitary representations of semi-direct products $G= K\ltimes T$, for $T$ abelian. Physically such unitary irreps should correspond to elementary particles in the case where $G$ is the double cover of the Poincaré group $G = SL_2(\mathbb{C}) \ltimes \mathbb{R}^4$. We will explain the general theory and how the field equations such as the Klein-Gordon or Dirac equation arise from this general framework. Time permitting or in a future talk we will explain how this extends in the supersymmetric case.

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