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Annales Henri Poincaré

, Volume 12, Issue 2, pp 351–395 | Cite as

Gauge Orbit Types for Theories with Gauge Group O(n), SO(n) or Sp(n)

  • Alexander Hertsch
  • Gerd Rudolph
  • Matthias Schmidt
Article
  • 56 Downloads

Abstract

We determine the orbit types of the action of the group of local gauge transformations on the space of connections in a principal bundle with structure group O(n), SO(n) or Sp(n) over a closed, simply connected manifold of dimension 4. On the way we derive a classification of Howe subgroups of SO(n) up to conjugacy.

Keywords

Structure Group Conjugacy Class Isomorphism Class Principal Bundle Orbit Type 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Basel AG 2011

Authors and Affiliations

  • Alexander Hertsch
    • 1
  • Gerd Rudolph
    • 1
  • Matthias Schmidt
    • 1
  1. 1.Institut für Theoretische PhysikUniversität LeipzigLeipzigGermany

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