Open Access
2016 Reduction over Coset Spaces and Residual Gauge Symmetry
S Davis
J. Gen. Lie Theory Appl. 10(1): 1-8 (2016). DOI: 10.4172/1736-4337.1000249


The reduction of higher-dimensional theories over a coset space S/R is known to yield a residual gauge symmetry related to the number of R-singlets in the decomposition of S with respect to R. It is verified that this invariance is identical to that found by requiring that there is a subgroup of the isometry group with an action on the connection form that yields a transformation rule defined only on the base space. The Lagrangian formulation of the projection of the frame of global vector fields from S7 to the Lie group submanifold S3× S3 is considered. The structure of an octonionic Chern-Simons gauge theory is described.


Download Citation

S Davis. "Reduction over Coset Spaces and Residual Gauge Symmetry." J. Gen. Lie Theory Appl. 10 (1) 1 - 8, 2016.


Published: 2016
First available in Project Euclid: 3 February 2017

zbMATH: 06685553
MathSciNet: MR3652761
Digital Object Identifier: 10.4172/1736-4337.1000249

Keywords: ‎centralizer‎ , dimensional reduction , Fibre bundle , Super symmetry

Rights: Copyright © 2016 Ashdin Publishing (2009-2013) / OMICS International (2014-2016)

Vol.10 • No. 1 • 2016
Back to Top