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arXiv · hep-th/9203017

Current algebras and light-cone quantization in 3+1 dimensions

Jouko Mickelsson
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Abstract

A polarization of the Lie algebras $Map(C, G)$ of gauge transformations on the light-cone $C\subset\RM^4$ is introduced, using splitting of the initial data on $C$ for the wave operator to positive and negative frequencies. This generalizes the usual polarization of affine Kac-Moody algebras to positive and negative frequencies and paves the way to a generalization of the highest weight theory to the $3+1$ dimensional setting.

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Jouko Mickelsson. 1992-03-07. Current algebras and light-cone quantization in 3+1 dimensions. https://arxiv.org/abs/hep-th/9203017

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