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 …

Conformal higher spin (HS) gravity is a HS extension of Weyl gravity and is a family of local
HS theories, which was put forward by Segal and Tseytlin. We propose a manifestly …

We study the construction of the so-called intrinsic action for PDEs equipped with compatible
presymplectic structures. In particular, we explicitly demonstrate that the intrinsic action for …

A bstract We propose a new (chiral) description of partially-massless fields in 4d, including
the partially-massless graviton, that is similar to the pure connection formulation for gravity …

As a step towards quantization of Higher Spin Gravities we construct the presymplectic
AKSZ sigma-model for 4d Higher Spin Gravity which is AdS/CFT dual of Chern–Simons …

We present the construction of the classical Batalin–Vilkovisky (BV) action for topological
Dirac sigma models. The latter are two-dimensional topological field theories that …

We elaborate on the presymplectic BV-AKSZ approach to local gauge theories and apply it
to conformal gravity. More specifically, we identify a compatible presymplectic structure on …

It is well known that a Q-manifold gives rise to an L∞-algebra structure on the tangent space
at a fixed point of the homological vector field. From the field theory perspective this implies …

Motivated from target space covariant formulations of topological sigma models and from a
graded-geometric approach to higher gauge theory, we study connections on Lie and …

Massless chiral fields of arbitrary spin in six spacetime dimensions, also known as higher
spin singletons, admit a simple formulation in terms of $ SL (2,\mathbb {H}) $ tensors. We …