All Outputs (17)

Lorentzian Cayley form (2024)
Journal Article

Cayley four-form Φ on an eight-dimensional manifold M is a real differential form of a special algebraic type, which determines a Riemannian metric on M as well as a unit real Weyl spinor. It defines a Spin(7) structure on M, and this Spin(7) structu... Read More about Lorentzian Cayley form.

Higher-spin self-dual Yang-Mills and gravity from the twistor space (2023)
Journal Article

We lift the recently proposed theories of higher-spin self-dual Yang-Mills (SDYM) and gravity (SDGR) to the twistor space. We find that the most natural room for their twistor formulation is not in the projective, but in the full twistor space, which... Read More about Higher-spin self-dual Yang-Mills and gravity from the twistor space.

Spin(11, 3), particles, and octonions (2022)
Journal Article

The fermionic fields of one generation of the Standard Model (SM), including the Lorentz spinor degrees of freedom, can be identified with components of a single real 64-dimensional semi-spinor representation S+ of the group Spin(11, 3). We describe... Read More about Spin(11, 3), particles, and octonions.

One-loop same helicity YM amplitudes from BG currents (2022)
Journal Article

We propose and prove a new formula for the one-loop all same helicity Yang-Mills amplitudes. These amplitudes are seen to arise as a sum of products of two tree-level Berends-Giele currents connected by an effective propagator. To make sense of the p... Read More about One-loop same helicity YM amplitudes from BG currents.

Pure Lorentz spin connection theories and uniqueness of general relativity (2021)
Journal Article

General relativity (GR) can be reformulated as a diffeomorphism invariant gauge theory of the Lorentz group, with Lagrangian of the type f(F ∧ F), where F is the curvature two-form of the spin connection. A theory from this class with a generic f is... Read More about Pure Lorentz spin connection theories and uniqueness of general relativity.

Deformations of GR, geometrodynamics and reality conditions (2021)
Journal Article

In four dimensions complexified general relativity (GR) can be non-trivially deformed: there exists an (infinite-parameter) set of modifications all having the same count of degrees of freedom. It is trivial to impose reality conditions that give ver... Read More about Deformations of GR, geometrodynamics and reality conditions.

SO(9) characterization of the standard model gauge group (2021)
Journal Article

A recent series of works characterized the Standard Model (SM) gauge group GSM as the subgroup of SO(9) that, in the octonionic model of the latter, preserves the split O=C?C3 of the space of octonions into a copy of the complex plane plus the rest.... Read More about SO(9) characterization of the standard model gauge group.

Local rigidity of Einstein 4-manifolds satisfying a chiral curvature condition (2020)
Journal Article

Let (M, g) be a compact oriented Einstein 4-manifold. Write R+ for the part of the curvature operator of g which acts on self-dual 2-forms. We prove that if R+ is negative definite then g is locally rigid: any other Einstein metric near to g is isome... Read More about Local rigidity of Einstein 4-manifolds satisfying a chiral curvature condition.

A 4D gravity theory and G2-holonomy manifolds (2019)
Journal Article

© 2019 International Press of Boston, Inc. 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. We generalise it by conside... Read More about A 4D gravity theory and G2-holonomy manifolds.

Pure-connection gravity and anisotropic singularities (2018)
Journal Article

In four space-time dimensions, there exists a special infinite-parameter family of chiral modified gravity theories. They are most properly described by a connection field, with space-time metric being a secondary and derived concept. All these theor... Read More about Pure-connection gravity and anisotropic singularities.

General relativity from three-forms in seven dimensions (2017)
Journal Article

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

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

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

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.

Anisotropic singularities in chiral modified gravity (2016)
Journal Article

Asymptotically hyperbolic connections (2016)
Journal Article

Deformations of GR and BH thermodynamics (2016)
Journal Article

In four space–time dimensions General Relativity can be non-trivially deformed. Deformed theories continue to describe two propagating degrees of freedom, as GR. We study Euclidean black hole thermodynamics of these deformations. We use the recently... Read More about Deformations of GR and BH thermodynamics.