Quantum Field Theory on quantized Bergman domain

Abstract

We present an oscillator realization of discrete series representations of group SU(2,2). We give formulas for the coherent state star-product quantization of a Bergman domain $D$. A formulation of a (regularized) non-commutative scalar field on a quantized $D$ is given.

References in corpus (1)

• Positive Energy Representations, Holomorphic Discrete Series and Finite-Dimensional Irreps

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