Central extensions of gauge groups revisited

Andrei Losev, Gregory Moore, Nikita Nekrasov, Samson Shatashvili, X. Cabré, S. Chanillo

Research output: Contribution to journalArticlepeer-review

13 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)117-123
Number of pages7
JournalSelecta Mathematica, New Series
Volume4
Issue number1
DOIs
Publication statusPublished - 1998
Externally publishedYes

Keywords

  • Anomalies
  • Central extensions
  • Characteristic classes
  • Gauge groups
  • Infinite-dimensional Lie groups

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