Colour-kinematics duality and the Drinfeld double of the Lie algebra of diffeomorphisms

Fu, Chih-Hao; Krasnov, Kirill

doi:10.1007/JHEP01(2017)075

All Outputs (4)

General relativity from three-forms in seven dimensions (2017)
Journal Article
Krasnov, K. (2017). General relativity from three-forms in seven dimensions. Physics Letters B, 772, https://doi.org/10.1016/j.physletb.2017.06.025

We consider a certain theory of 3-forms in 7 dimensions, and study its dimensional reduction to 4D, compactifying the 7-dimensional manifold on the 3-sphere of a fixed radius. We show that the resulting 4D theory is (Riemannian) General Relativity (G... Read More about General relativity from three-forms in seven dimensions.

Self-dual gravity (2017)
Journal Article
Krasnov, K. (2017). Self-dual gravity. Classical and Quantum Gravity, 34(9), https://doi.org/10.1088/1361-6382/aa65e5

Self-dual gravity is a diffeomorphism invariant theory in four dimensions that describes two propagating polarisations of the graviton and has a negative mass dimension coupling constant. Nevertheless, this theory is not only renormalisable but quant... Read More about Self-dual gravity.

6D interpretation of 3D gravity (2017)
Journal Article
Herfray, Y., Krasnov, K., & Scarinci, C. (2017). 6D interpretation of 3D gravity. Classical and Quantum Gravity, 34(4), https://doi.org/10.1088/1361-6382/aa5727

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 for the Chern–Simons 3-form in the total space of the principal bundle o... Read More about 6D interpretation of 3D gravity.

Colour-kinematics duality and the Drinfeld double of the Lie algebra of diffeomorphisms (2017)
Journal Article
Fu, C., & Krasnov, K. (in press). Colour-kinematics duality and the Drinfeld double of the Lie algebra of diffeomorphisms. Journal of High Energy Physics, 2017, Article 75. https://doi.org/10.1007/JHEP01%282017%29075

Colour-kinematics duality suggests that Yang-Mills (YM) theory possesses some hidden Lie algebraic structure. So far this structure has resisted understanding, apart from some progress in the self-dual sector. We show that there is indeed a Lie algeb... Read More about Colour-kinematics duality and the Drinfeld double of the Lie algebra of diffeomorphisms.