Central Extensions of Gauge Groups Revisited

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We present an explicit construction for the central extension of the group $\Map(X, G)$ where $X$ is a compact manifold and $G$ is a Lie group. If $X$ is a complex curve we obtain a simple construction of the extension by the Picard variety $\Pic(X)$. The construction is easily adapted to the extension of $\Aut(E)$, the gauge group of automorphisms of a nontrivial vector bundle $E$.
7 pages, harvmac. References added

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High Energy Physics - Theory, Algebraic Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/149283

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/hep-th/9511185
 http://arxiv.org/abs/hep-th/9511185

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arXiv