Central Extensions of Gauge Groups Revisited

1995/11/27 by A. Losev, G. Moore, Losev, A. +8
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology #alg-geom #hep-th #math.AG

paper · pdf · doi:10.48550/arxiv.hep-th/9511185

7 pages, harvmac. References added

openalex publication_date 1995/11/27 · arxiv created 1995/12/21 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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