A low-energy limit of Yang-Mills theory on de Sitter space

@article{Cork2021ALL,
  title={A low-energy limit of Yang-Mills theory on de Sitter space},
  author={Josh Cork and Emine cSeyma Kutluk and Olaf Lechtenfeld and Alexander D. Popov},
  journal={Journal of High Energy Physics},
  year={2021}
}
<jats:title>A<jats:sc>bstract</jats:sc> </jats:title><jats:p>We consider Yang-Mills theory with a compact structure group <jats:italic>G</jats:italic> on four-dimensional de Sitter space dS<jats:sub>4</jats:sub>. Using conformal invariance, we transform the theory from dS<jats:sub>4</jats:sub> to the finite cylinder <jats:inline-formula><jats:alternatives><jats:tex-math>$$ \mathcal{I} $$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML… 
Geodesic motion on the group of boundary diffeomorphisms from Einstein's equations
In [1] it was shown how in an adiabatic limit the vacuum Einstein equations on a compact spatial region can be re-expressed as geodesic equations on the group of diffeomorphisms of the boundary. This

References

SHOWING 1-10 OF 53 REFERENCES
Finite-action solutions of Yang-Mills equations on de Sitter dS4 and anti-de Sitter AdS4 spaces
A bstractWe consider pure SU(2) Yang-Mills theory on four-dimensional de Sitter dS4 and anti-de Sitter AdS4 spaces and construct various solutions to the Yang-Mills equations. On de Sitter space we
Solutions to Yang-Mills Equations on Four-Dimensional de Sitter Space.
TLDR
A smooth and spatially homogeneous magnetic solution to the Yang-Mills equations is constructed via an SU(2)-equivariant ansatz and the double-well bounce produces a family of homogeneous finite-action electric-magnetic solutions with the same energy.
Asymptotic symmetries of Yang-Mills theory
A bstractAsymptotic symmetries at future null infinity (ℐ$$ \mathrm{\mathcal{I}} $$+) of Minkowski space for electrodynamics with massless charged fields, as well as nonabelian gauge theories with
Loop groups in Yang-Mills theory
2D Kac-Moody symmetry of 4D Yang-Mills theory
A bstractScattering amplitudes of any four-dimensional theory with nonabelian gauge group G$$ \mathcal{G} $$ may be recast as two-dimensional correlation functions on the asymptotic twosphere at null
The geodesic approximation for the Yang-Mills-Higgs equations
In this paper we consider the dynamics of the monopole solutions of Yang-Mills-Higgs theory on Minkowski space. The monopoles are solutions of the Yang-Mills-Higgs equations on three dimensional
Symplectic reduction of Yang-Mills theory with boundaries: from superselection sectors to edge modes, and back
I develop a theory of symplectic reduction that applies to bounded regions in Yang-Mills theory and electromagnetism. In this theory superselection sectors for the electric-flux play a central role.
Celestial current algebra from Low’s subleading soft theorem
The leading soft photon theorem implies that four-dimensional scattering amplitudes are controlled by a two-dimensional (2D) $U(1)$ Kac-Moody symmetry that acts on the celestial sphere at null
Conformally soft theorem in gauge theory
Asymptotic particle states in four-dimensional celestial scattering amplitudes are labelled by their $SL(2,\mathbb{C})$ Lorentz/conformal weights $(h,\bar{h})$ rather than the usual energy-momentum
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