Recently, the interacting N= 1 superconformal higher-spin theory in four dimensions has
been proposed within the induced action approach. In this paper we initiate a program of …

This thesis is dedicated to the study of (super) spin projection operators and their
applications on maximally symmetric (super) space backgrounds in three and four …

A bstract We derive the transverse projection operators for fields with arbitrary integer and
half-integer spin on three-dimensional anti-de Sitter space, AdS 3. The projectors are …

A bstract Within the framework of\(\mathcal {N}\)= 1 anti-de Sitter (AdS) supersymmetry in
four dimensions, we derive superspin projection operators (or superprojectors). For a tensor …

A bstract In a conformally flat three-dimensional spacetime, the linearised higher-spin Cotton
tensor ℭ α (n)(h) is the unique conserved conformal current which is a gauge-invariant …

Given a maximally symmetric $ d $-dimensional background with isometry algebra
$\mathfrak {g} $, a symmetric and traceless rank-$ s $ field $\phi_ {a (s)} $ satisfying the …

We investigate the electric field gradient (EFG) and structural, electronic and magnetic
properties of antiferromagnetic lanthanide-digallides RGa2 (R= Ce, Pr, Nd, Sm, Gd) using …

We revisit the problem of consistent free propagation of higher-spin fields in nontrivial
backgrounds, focusing on symmetric tensor (-spinor) s. The Fierz-Pauli equations for …

This thesis is devoted to the construction of theories describing the consistent propagation of
(super) conformal higher-spin fields on curved three-and four-dimensional (super) spaces …

A new class of representations of the Brauer algebra that centralizes the action of orthogonal
and symplectic groups in tensor spaces is found. These representations make it possible to …