Classical skyrmions in SU(N)/SO(N) cosets

@article{Gillioz2011ClassicalSI,
  title={Classical skyrmions in SU(N)/SO(N) cosets},
  author={Marc Gillioz},
  journal={Journal of High Energy Physics},
  year={2011},
  volume={2011},
  pages={1-14}
}
  • M. Gillioz
  • Published 30 March 2011
  • Physics
  • Journal of High Energy Physics
We construct the skyrmion solutions appearing in the coset spaces SU(N)/SO(N) for N > 2 and compute their classical mass. For N = 3, the third homotopy group $ {\pi_3}\left( {{{{{\text{SU}}(3)}} \left/ {{{\text{SO}}(3)}} \right.}} \right) = {\mathbb{Z}_4} $ implies the existence of two distinct solutions: the skyrmion of winding number two has spherical symmetry and is found to be the lightest non-trivial field configuration; the skyrmion and antiskyrmion of winding number plus and minus one… 
Dangerous skyrmions in little Higgs models
A bstractSkyrmions are present in many models of electroweak symmetry breaking where the Higgs is a pseudo-oldstone boson of some strongly interacting sector. They are stable, composite objects whose
Perturbative and Nonperturbative Aspects of the Phenomenology of Composite Higgs Models
The discovery of the Higgs boson announced by CERN on July 4th 2012 was expected by the particle physics community since a long time. Indirect evidence that a Higgs boson must be present in the mass

References

SHOWING 1-10 OF 46 REFERENCES
Low-mass solitons from fractional charges in quantum chromodynamics
Slansky, Goldman, and Shaw have proposed a model to account for the observation of fractionally charged states. We show that in this model, there are expected to be several low-mass solitons (four
Hopf Skyrmion in QCD with adjoint quarks
We consider a modification of QCD in which conventional fundamental quarks are replaced by Weyl fermions in the adjoint representation of the color SU(N). In the case of two flavors the low-energy
Topological dark matter in little Higgs models
We show that certain little Higgs models with symmetry breaking SU(N){yields}SO(N) for N{>=}4 admit topologically stable solitons that may contribute to cosmological dark matter. We have constructed
The Hopf Skyrmion in QCD with Adjoint Quarks
We consider a modification of QCD in which conventional fundamental quarks are replaced by Weyl fermions in the adjoint representation of the color SU(N). In the case of two flavors the low-energy
Skyrmions in Yang – Mills Theories with Massless Adjoint Quarks
Dynamics of SU(Nc) Yang–Mills theories with Nf adjoint Weyl fermions is quite different from that of SU(Nc) gauge theories with fundamental quarks. The symmetry breaking pattern is SU(Nf ) → SO(Nf ).
The little skyrmion: new dark matter for little Higgs models
We study skyrmions in the littlest Higgs model and discuss their possible role as dark matter candidates. Stable massive skyrmions can exist in the littlest Higgs model also in absence of an exact
Low-energy limit of Yang–Mills with massless adjoint quarks: chiral Lagrangian and Skyrmions
If the fundamental quarks of QCD are replaced by massless adjoint quarks, the pattern of the chiral symmetry breaking drastically changes compared to the standard one. It becomes SU(Nf) → SO(Nf).
Deuteron as a toroidal Skyrmion.
  • BraatenCarson
  • Physics
    Physical review. D, Particles and fields
  • 1988
TLDR
The results are consistent with the interpretation of the deuteron as a quantum state of a toroidal Skyrmion.
T-parity violation by anomalies
Little Higgs theories often rely on an internal parity ('T-parity') to suppress nonstandard electroweak effects or to provide a dark matter candidate. We show that such a symmetry is generally broken
A
  • von Manteuffel, P. Schwaller, and D. Wyler, The Little Skyrmion: New Dark Matter for Little Higgs Models, JHEP 03
  • 2011
...
...