A new mechanism for symmetry breaking from nilmanifolds
arXiv:2002.11128 · doi:10.1007/JHEP05(2020)122
Abstract
We present a method to obtain a scalar potential at tree level from a pure gauge theory on nilmanifolds, a class of negatively-curved compact spaces, and discuss the spontaneous symmetry breaking mechanism induced in the residual Minkowski space after compactification at low energy. We show that the scalar potential is completely determined by the gauge symmetries and the geometry of the compact manifold. In order to allow for simple analytic calculations we consider three extra space dimensions as the minimal example of a nilmanifold, therefore considering a pure Yang-Mills theory in seven dimensions.
arXiv comment17 pages, 1 figure
References in corpus (23)
- A Large Mass Hierarchy from a Small Extra Dimension
- The Hierarchy Problem and New Dimensions at a Millimeter
- New Dimensions at a Millimeter to a Fermi and Superstrings at a TeV
- Quantum Gravity and Extra Dimensions at High-Energy Colliders
- Hierarchies without Symmetries from Extra Dimensions
- New Supersymmetric String Compactifications
- Bulk Standard Model in the Randall-Sundrum Background
- Finite Higgs mass without Supersymmetry
- A scan for new N=1 vacua on twisted tori
- Compact Hyperbolic Extra Dimensions: Branes, Kaluza-Klein Modes and Cosmology
- Gauge-Higgs Unification and Radiative Electroweak Symmetry Breaking in Warped Extra Dimensions
- The effective theory of type IIA AdS4 compactifications on nilmanifolds and cosets
- Dynamical symmetry breaking in Gauge-Higgs unification on orbifold
- Higgs Boson Mass and Electroweak-Gravity Hierarchy from Dynamical Gauge-Higgs Unification in the Warped Spacetime
- Supersymmetry breaking branes on solvmanifolds and de Sitter vacua in string theory
- Gauge-Higgs Grand Unification
- (Non-)commutative closed string on T-dual toroidal backgrounds
- Radion Stabilization in Compact Hyperbolic Extra Dimensions
- Radiative Symmetry Breaking in Brane Models
- New supersymmetric vacua on solvmanifolds
- Compact hyperbolic extra dimensions: a M-theory solution and its implications for the LHC
- Laplacian spectrum on a nilmanifold, truncations and effective theories
- Towards Kaluza-Klein Dark Matter on Nilmanifolds