22 citations · 84 across the 13 of their papers we have counts for
13 papers
A quantization of moduli spaces of 3-dimensional gravity
Hyun Kyu Kim, Carlos Scarinci
We construct a quantization of the moduli space of maximal globally hyperbolic Lorentzian metrics on with constant sectiona…
Einstein gravity as a gauge theory for the conformal group
Yannick Herfray, Carlos Scarinci
General Relativity in dimension can be formulated as a gauge theory for the conformal group , along with an additional field reducing the structure group d…
Lightlike and ideal tetrahedra
Catherine Meusburger, Carlos Scarinci
We give a unified description of tetrahedra with lightlike faces in 3d anti-de Sitter, de Sitter and Minkowski spaces and of their duals in 3d anti-de Sitter, hyperbolic and half-p…
6D Interpretation of 3D Gravity
Yannick Herfray, Kirill Krasnov, Carlos Scarinci
We show that 3D gravity, in its pure connection formulation, admits a natural 6D interpretation. The 3D field equations for the connection are equivalent to 6D Hitchin equations fo…
A 4D gravity theory and G2-holonomy manifolds
Yannick Herfray, Kirill Krasnov, Carlos Scarinci +1
Bryant and Salamon gave a construction of metrics of G2 holonomy on the total space of the bundle of anti-self-dual (ASD) 2-forms over a 4-dimensional self-dual Einstein manifold.…
Asymptotically hyperbolic connections
Joel Fine, Yannick Herfray, Kirill Krasnov +1
General Relativity in 4 dimensions can be equivalently described as a dynamical theory of SO(3)-connections rather than metrics. We introduce the notion of asymptotically hyperboli…
Symplectic Wick rotations between moduli spaces of 3-manifolds
Carlos Scarinci, Jean-Marc Schlenker
Given a closed hyperbolic surface , let $\cQF$ denote the space of quasifuchsian hyperbolic metrics on and $\cGH_{-1}$ the space of maximal globally hyperbolic anti-…
Pure connection formalism for gravity: Recursion relations
Gianluca Delfino, Kirill Krasnov, Carlos Scarinci
In the gauge-theoretic formulation of gravity the cubic vertex becomes simple enough for some graviton scattering amplitudes to be computed using Berends-Giele-type recursion relat…
Generalised shear coordinates on the moduli spaces of three-dimensional spacetimes
Catherine Meusburger, Carlos Scarinci
We introduce coordinates on the moduli spaces of maximal globally hyperbolic constant curvature 3d spacetimes with cusped Cauchy surfaces S. They are derived from the parametrisati…
Weighted Laplacians, cocycles and recursion relations
Kirill Krasnov, Carlos Scarinci
Hodge's formula represents the gravitational MHV amplitude as the determinant of a minor of a certain matrix. When expanded, this determinant becomes a sum over weighted trees, whi…
Pure connection formalism for gravity: Feynman rules and the graviton-graviton scattering
Gianluca Delfino, Kirill Krasnov, Carlos Scarinci
We continue to develop the pure connection formalism for gravity. We derive the Feynman rules for computing the connection correlation functions, as well as the prescription for ob…
Pure Connection Formalism for Gravity: Linearized Theory
Gianluca Delfino, Kirill Krasnov, Carlos Scarinci
We give a description of gravitons in terms of an SL(2,C) connection field. The gauge-theoretic Lagrangian for gravitons is simpler than the metric one. Moreover, all components of…
A Unified Theory of Non-Linear Electrodynamics and Gravity
Alexander Torres-Gomez, Kirill Krasnov, Carlos Scarinci
We describe a class of unified theories of electromagnetism and gravity. The Lagrangian is of the BF type, with a potential for the B-field, the gauge group is U(2) (complexified).…