Enhancement of hidden symmetries and Chern-Simons couplings
arXiv:1505.07355
Abstract
We study the role of Chern--Simons couplings for the appearance of enhanced symmetries of Cremmer--Julia type in various theories. It is shown explicitly that for generic values of the Chern--Simons coupling there is only a parabolic Lie subgroup of symmetries after reduction to three space-time dimensions but that this parabolic Lie group gets enhanced to the full and larger Cremmer--Julia Lie group of hidden symmetries if the coupling takes a specific value. This is heralded by an enhanced isotropy group of the metric on the scalar manifold. Examples of this phenomenon are discussed as well as the relation to supersymmetry. Our results are also connected with rigidity theorems of Borel-like algebras.
arXiv commentTo appear in the Proceedings of the 9th Workshop and School on "Quantum Field Theory and Hamiltonian Systems", 24-28 September 2014, Sinaia, Romania
References in corpus (10)
- E10 and a "small tension expansion" of M Theory
- Dualisation of Dualities, I
- p-brane Solitons in Maximal Supergravities
- E7(7) constraints on counterterms in N=8 supergravity
- Higher-dimensional Origin of D=3 Coset Symmetries
- More on the Similarity between D=5 Simple Supergravity and M Theory
- Coset Symmetries in Dimensionally Reduced Bosonic String Theory
- N=8 Counterterms and E7(7) Current Conservation
- G2 Dualities in D=5 Supergravity and Black Strings
- Obstruction to E_{7(7)} Deformation in N=8 Supergravity