Built on

S. R. Coleman and J. Mandula, “ALL POSSIBLE SYMMETRIES OF THE S MATRIX,” Phys. Rev. 159
1967
Earlier work this paper cites.
J. F. Plebanski, “On the separation of Einsteinian substructures,” J. Math. Phys. 18
1977
Earlier work this paper cites.
S. W. MacDowell and F. Mansouri, “Unified Geometric Theory Of Gravity And Supergravity,” Phys. Rev. Lett. 38
1977
Earlier work this paper cites.
A. Ashtekar, “New Variables for Classical and Quantum Gravity,” Phys. Rev. Lett. 57
1986
Earlier work this paper cites.
R. Capovilla, T. Jacobson, J. Dell and L. Mason, “Selfdual two forms and gravity,” Class. Quant. Grav. 8
1991
Earlier work this paper cites.
M. P. Reisenberger, “Classical Euclidean general relativity from *left-handed area = right-handed area*,” Class. Quant. Grav. 16
1999
Earlier work this paper cites.

Similar

R. De Pietri and L. Freidel, “so(4) Plebanski Action and Relativistic Spin Foam Model,” Class. Quant. Grav. 16
1999
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2004
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Cited alongside, same era.

Then

L. Smolin, “The Plebanski action extended to a unification of gravity and Yang-Mills theory,” Phys. Rev. D 80
Original
2009
Later among the works it cites.
A. Ishibashi and S. Speziale, “Spherically symmetric black holes in minimally modified self-dual gravity,” Class. Quant. Grav. 26
Original
2009
Later among the works it cites.
S. Alexandrov and K. Krasnov, “Hamiltonian Analysis of non-chiral Plebanski Theory and its Generalizations,” Class. Quant. Grav. 26
Original
2009
Later among the works it cites.
L. Smolin and S. Speziale, “A note on the Plebanski action with cosmological constant and an Immirzi parameter,” Phys. Rev. D 81
Original
2010
Closest in time.
S. Speziale, “Bi-metric theory of gravity from the non-chiral Plebanski action,” Phys. Rev. D 82

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2010

Unification of gravity, gauge fields, and Higgs bosons

Lisi, A. Garrett, Smolin, Lee, Speziale, Simone

Understand

We consider a diffeomorphism invariant theory of a gauge field valued in a Lie algebra that breaks spontaneously to the direct sum of the spacetime Lorentz algebra, a Yang-Mills algebra, and their complement.

Beginning with a fully gauge invariant action -- an extension of the Plebanski action for general relativity -- we recover the action for gravity, Yang-Mills, and Higgs fields.
The low-energy coupling constants, obtained after symmetry breaking, are all functions of the single parameter present in the initial action and the vacuum expectation value of the Higgs.

Built on

S. R. Coleman and J. Mandula, “ALL POSSIBLE SYMMETRIES OF THE S MATRIX,” Phys. Rev. 159
1967
Earlier work this paper cites.
J. F. Plebanski, “On the separation of Einsteinian substructures,” J. Math. Phys. 18
1977
Earlier work this paper cites.
S. W. MacDowell and F. Mansouri, “Unified Geometric Theory Of Gravity And Supergravity,” Phys. Rev. Lett. 38
1977
Earlier work this paper cites.
A. Ashtekar, “New Variables for Classical and Quantum Gravity,” Phys. Rev. Lett. 57
1986
Earlier work this paper cites.
R. Capovilla, T. Jacobson, J. Dell and L. Mason, “Selfdual two forms and gravity,” Class. Quant. Grav. 8
1991
Earlier work this paper cites.
M. P. Reisenberger, “Classical Euclidean general relativity from *left-handed area = right-handed area*,” Class. Quant. Grav. 16
1999
Earlier work this paper cites.