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Bimetric theory of gravity from the nonchiral Plebanski action,” Phys
 Rev. D
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Spin Foams and Canonical Quantization
 SYMMETRY, INTEGRABILITY AND GEOMETRY: METHODS AND APPLICATIONS
, 2012
"... This review is devoted to the analysis of the mutual consistency of the spin foam and canonical loop quantizations in three and four spacetime dimensions. In the threedimensional context, where the two approaches are in good agreement, we show how the canonical quantization à la Witten of Riemanni ..."
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This review is devoted to the analysis of the mutual consistency of the spin foam and canonical loop quantizations in three and four spacetime dimensions. In the threedimensional context, where the two approaches are in good agreement, we show how the canonical quantization à la Witten of Riemannian gravity with a positive cosmological constant is related to the Turaev–Viro spin foam model, and how the Ponzano–Regge amplitudes are related to the physical scalar product of Riemannian loop quantum gravity without cosmological constant. In the fourdimensional case, we recall a Lorentzcovariant formulation of loop quantum gravity using projected spin networks, compare it with the new spin foam models, and identify interesting relations and their pitfalls. Finally, we discuss the properties which a spin foam model is expected to possess in order to be consistent with the canonical quantization, and suggest a new model illustrating these results.
Unification of gravity, gauge fields and Higgs bosons
 J. Phys. A: Math. Theor
"... Abstract 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 YangMills algebra, and their complement. Beginning with a fully gauge invariant action an extension of the Plebanski acti ..."
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Abstract 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 YangMills 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, YangMills, and Higgs fields. The lowenergy 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.
On the relations between gravity and BF theories
"... Abstract. We review, in the light of recent developments, the existing relations between gravity and topological BF theories at the classical level. We include the Plebanski action in both selfdual and nonchiral formulations, their generalizations, and the MacDowell– Mansouri action. ..."
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Abstract. We review, in the light of recent developments, the existing relations between gravity and topological BF theories at the classical level. We include the Plebanski action in both selfdual and nonchiral formulations, their generalizations, and the MacDowell– Mansouri action.
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, 2009
"... Spherically symmetric black holes in minimally modified selfdual gravity ..."
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Spherically symmetric black holes in minimally modified selfdual gravity
unknown title
, 2009
"... Spherically symmetric black holes in minimally modified selfdual gravity ..."
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Spherically symmetric black holes in minimally modified selfdual gravity