This is a collection of my lecture notes on the higher-spin theory course given for students at
the Institute for Theoretical and Mathematical Physics, Lomonosov Moscow State University …

Gravity in 4 d asymptotically flat spacetime constitutes the archetypal example of a
gravitational system with leaky boundary conditions. Pursuing our previous analysis of …

A bstract We consider the twistor description of classical self-dual Einstein gravity in the
presence of a defect operator wrap** a certain ℂℙ 1. The backreaction of this defect …

A bstract We study celestial chiral algebras appearing in celestial holography, using the light-
cone gauge formulation of self-dual Yang-Mills theory and self-dual gravity, and explore also …

We show that self-dual gravity in Euclidean four-dimensional anti–de Sitter space (AdS 4)
can be described by a scalar field with a cubic interaction written in terms of a deformed …

Higher Spin Gravity refers to extensions of gravity including at least one field of spin greater
than two. These extensions are expected to provide manageable models of quantum gravity …

A bstract We consider the Moyal deformation of self-dual gravity. In the conformal primary
basis, holomorphic collinear limits of the amplitudes of this theory show that it enjoys a …

We propose a new, chiral description for massive higher-spin particles in four spacetime
dimensions, which facilitates the introduction of consistent interactions. As proof of concept …

A bstract We study the connection of Moyal deformations of self-dual gravity and self-dual
Yang-Mills theory to chiral higher-spin theories, and also to deformations of operator …

A bstract Recent works have explored how scattering amplitudes in quantum self-dual Yang-
Mills theory and self-dual gravity can be interpreted as resulting from an anomaly, as first …