Selecta Mathematica

, 4:117

Central extensions of gauge groups revisited

  • A. Losev
  • G. Moore
  • N. Nekrasov
  • S. Shatashvili
Article

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.

Key words. Central extensions, gauge groups, infinite-dimensional Lie groups, characteristic classes, anomalies. 

Copyright information

© Birkhäuser Verlag, Basel, 1998

Authors and Affiliations

  • A. Losev
    • 1
  • G. Moore
    • 2
  • N. Nekrasov
    • 1
  • S. Shatashvili
    • 2
  1. 1.Institute of Theoretical and Experimental Physics, Moscow, 117259, RussiaRU
  2. 2.Department of Physics, Yale University, Box 208120, New Haven, CT 06520, USA, e-mail: losev@genesis5.physics.yale.edu, e-mail: moore@castalia.physics.yale.edu, e-mail: samson@euler.physics.yale.eduUS
  3. 3.Department of Physics, Princeton University, Princeton, NJ 08544, USA, e-mail: nikita@puhep1.princeton.eduUS

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