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Higher-Spin Self-Dual Yang-Mills and Gravity from the twistor space
Yannick Herfray, Kirill Krasnov, Evgeny Skvortsov
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 the twistor formul…
Geometry of Spin(10) Symmetry Breaking
Kirill Krasnov
We provide a new characterisation of the Standard Model gauge group GSM as a subgroup of Spin(10). The new description of GSM relies on the geometry of pure spinors. We show that G…
One-loop same helicity YM amplitudes from BG currents
Pratik Chattopadhyay, Kirill Krasnov
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…
Flat Self-dual Gravity
Kirill Krasnov, Evgeny Skvortsov
We construct a new covariant action for "flat" self-dual gravity in four spacetime dimensions. The action has just one term, but when expanded around an appropriate background give…
Actions for Self-dual Higher Spin Gravities
Kirill Krasnov, Evgeny Skvortsov, Tung Tran
Higher Spin Gravities are scarce, but covariant actions for them are even scarcer. We construct covariant actions for contractions of Chiral Higher Spin Gravity that represent high…
Spin(11,3), particles and octonions
Kirill Krasnov
The fermionic fields of one generation of the Standard Model, including the Lorentz spinor degrees of freedom, can be identified with components of a single real 64-dimensional sem…
Chiral perturbation theory for GR
Kirill Krasnov, Yuri Shtanov
We describe a new perturbation theory for General Relativity, with the chiral first-order Einstein-Cartan action as the starting point. Our main result is a new gauge-fixing proced…
One-loop same helicity four-point amplitude from shifts
Pratik Chattopadhyay, Kirill Krasnov
It has been suggested a long time ago by W. Bardeen that non-vanishing of the one-loop same helicity YM amplitudes, in particular such an amplitude at four points, should be interp…
SO(9) characterisation of the Standard Model gauge group
Kirill Krasnov
A recent series of works by M. Dubois-Violette, I. Todorov and S. Drenska characterised the SM gauge group GSM as the subgroup of SO(9) that, in the octonionic model of the later,…
Fermions, differential forms and doubled geometry
Kirill Krasnov
We show that all fermions of one generation of the Standard Model (SM) can be elegantly described by a single fixed parity (say even) inhomogeneous real-valued differential form in…
Gravity and Unification: A review
Kirill Krasnov, Roberto Percacci
We review various classical unified theories of gravity and other interactions that have appeared in the literature, paying special attention to scenarios in which spacetime remain…
Topological field theories of 2- and 3-forms in six dimensions
Yannick Herfray, Kirill Krasnov
We consider several diffeomorphism invariant field theories of 2- and 3-forms in six dimensions. They all share the same kinetic term , but differ in the potential term that i…
Dynamics of 3-Forms in Seven Dimensions
Kirill Krasnov
We continue to study a certain dynamical theory of 3-forms in seven dimensions, which can be viewed as a non-linear 7D analog of the 3D Abelian Chern-Simons theory. We perform the…
General Relativity from Three-Forms in Seven Dimensions
Kirill Krasnov
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 s…
Self-Dual Gravity
Kirill Krasnov
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 co…
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…
Colour-Kinematics duality and the Drinfeld double of the Lie algebra of diffeomorphisms
Chih-Hao Fu, Kirill Krasnov
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 prog…
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.…
One-loop beta-function for an infinite-parameter family of gauge theories
Kirill Krasnov
We continue to study an infinite-parametric family of gauge theories with an arbitrary function of the self-dual part of the field strength as the Lagrangian. The arising one-loop…
Deformations of Yang-Mills theory
Marco Cofano, Chih-Hao Fu, Kirill Krasnov
We introduce and study a new class of power-counting non-renormalisable gauge theories in four space-time dimensions. The Lagrangian is an arbitrary function of the self-dual part…
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…
GR uniqueness and deformations
Kirill Krasnov
In the metric formulation gravitons are described with the parity symmetric representation of Lorentz group. General Relativity is then the unique theory of in…
Gravitons and a complex of differential operators
Kirill Krasnov
Gravity is now understood to become simple on-shell. We sketch how it becomes simple also off-shell, when reformulated appropriately. Thus, we describe a simple Lagrangian for grav…
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…