Algebroid Yang-Mills Theories

Details Algebroid Yang-Mills Theories Algebroid Yang-Mills Theories

2004-06-23

arxiv.org/abs/hep-th/0406215v3

Phys.Rev.Lett. 93 (2004) 211601

Physics

High Energy Physics

High Energy Physics - Theory

4 pages; v3: Minor rewording of v1, version to appear in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.93.211601

A framework for constructing new kinds of gauge theories is suggested. Essentially it consists in replacing Lie algebras by Lie or Courant algebroids. Besides presenting novel topological theories defined in arbitrary spacetime dimensions, we show that equipping Lie algebroids E with a fiber metric having sufficiently many E-Killing vectors leads to an astonishingly mild deformation of ordinary Yang-Mills theories: Additional fields turn out to carry no propagating modes. Instead they serve as moduli parameters gluing together in part different Yang-Mills theories. This leads to a symmetry enhancement at critical points of these fields, as is also typical for String effective field theories.

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