Central extensions of gauge groups revisited

• A. Losev ^[2] ; G. Moore ^[1] ; N. Nekrasov ^[2] ; S. Shatashvili ^[1]
  1. [1] Yale University

     Yale University

     Town of New Haven, Estados Unidos

     
  2. [2] Institute of Theoretical and Experimental Physics, Rusia
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 4, Nº. 1, 1998, págs. 117-123
• Idioma: inglés
• DOI: 10.1007/s000290050026
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• Resumen

  • 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.