A bstract We describe in more detail our approach to the conformal bootstrap which uses the
Mellin representation of CFT d four point functions and expands them in terms of crossing …

The superconformal index Z of the 6d (2, 0) theory on S 5× S 1 (which is related to the
localization partition function of 5d SYM on S 5) should be captured at large N by the …

This thesis presents the state of the art in the study of Bondi-Metzner-Sachs (BMS) symmetry
and its applications in the simplified setting of three dimensions. It focuses on presenting all …

Chiral higher spin gravity is unique in being the smallest higher spin extension of gravity and
in having a simple local action both in flat and (anti-) de Sitter spaces. It must be a closed …

A bstract We consider general-symmetry higher spin fields in AdS 5 and derive the
expressions for their one-loop corrections to vacuum energy E c and the associated 4d …

There exists a unique class of local higher spin gravities with propagating massless fields in
4 d—chiral higher spin gravity. Originally, it was formulated in the light-cone gauge. We …

Recently, the one-loop free energy of higher spin (HS) theories in Euclidean AdS d+ 1 was
calculated and matched with the order N 0 term in the free energy of the large N “vectorial” …

A bstract One of the main ideas behind Higher Spin Gravities is that the higher spin
symmetry is expected to leave no room for counterterms, thereby eliminating UV …

We study 4-dimensional higher-derivative conformal higher-spin (CHS) fields generalizing
Weyl graviton and conformal gravitino. They appear, in particular, as “induced” theories in …

A bstract We compute the canonical partition function\(\mathcal {Z}\) of non-interacting
conformal higher spin (CHS) theory viewed as a collection of free spin s CFT's in\(\mathbb …