On unification of gravity and gauge interactions

@article{Chamseddine2016OnUO,
  title={On unification of gravity and gauge interactions},
  author={Ali H. Chamseddine and Viatcheslav F. Mukhanov},
  journal={Journal of High Energy Physics},
  year={2016},
  volume={2016},
  pages={1-13}
}
A bstractConsidering a higher dimensional Lorentz group as the symmetry of the tangent space, we unify gravity and gauge interactions in a natural way. The spin connection of the gauged Lorentz group is then responsible for both gravity and gauge fields, and the action for the gauged fields becomes part of the spin curvature squared. The realistic group which unifies all known particles and interactions is the SO(1, 13) Lorentz group whose gauge part leads to SO(10) grand unified theory and… 
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References

SHOWING 1-10 OF 21 REFERENCES
Gravi-weak unification
The coupling of chiral fermions to gravity makes use only of the selfdual SU(2) subalgebra of the (complexified) SO(3, 1) algebra. It is possible to identify the antiselfdual subalgebra with the
Noncommutative geometry as a framework for unification of all fundamental interactions including gravity. Part I.
We examine the hypothesis that space‐time is a product of a continuous four‐dimensional manifold times a finite space. A new tensorial notation is developed to present the various constructs of
Gravity with de Sitter and unitary tangent groups
TLDR
It is shown that thedimension of the tangent space can be larger than the dimension of the manifold and by requiring the invariance of the theory with respect to 5d Lorentz group (de Sitter group) Einstein theory is reproduced unambiguously.
SO(10) unification in noncommutative geometry.
TLDR
An SO(10) grand unified theory in the formulation of non-commutative geometry is constructed by extending the number of discrete points to six and adding a singlet fermion and a 16 s Higgs field.
Origin of families and $SO(18)$ grand unification
We exploit a recent advance in the study of interacting topological superconductors to propose a solution to the family puzzle of particle physics in the context of SO(18) [or more correctly,
A lattice non-perturbative definition of an SO(10) chiral gauge theory and its induced standard model
The standard model is a chiral gauge theory where the gauge fields couple to the right-hand and the left-hand fermions differently. The standard model is defined perturbatively and describes all
Chirality in unified theories of gravity
We show how to obtain a single chiral family of an SO(10) grand unified theory (GUT), starting from a Majorana-Weyl representation of a unifying (GraviGUT) group SO(3,11), which contains the
Periodic table for topological insulators and superconductors
Gapped phases of noninteracting fermions, with and without charge conservation and time-reversal symmetry, are classified using Bott periodicity. The symmetry and spatial dimension determines a
Who ordered the anti-de Sitter tangent group?
A bstractGeneral relativity can be unambiguously formulated with Lorentz, de Sitter and anti-de Sitter tangent groups, which determine the fermionic representations. We show that besides of the
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