Central Extensions of Gauge Groups Revisited

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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7 pages, harvmac. References added

Scientific paper

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 $E$.

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