22 citations · 84 across the 13 of their papers we have counts for
6 papers · 1 filter
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.…
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…
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…