English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

This thesis is dedicated to the study of (super)spin projection operators andtheir applications on maximally symmetric (super)space backgrounds in three andfour dimensions. On such backgrounds, the irreducible representations of theassociated isometry (super)algebra may be realised on the space of tensor(super)fields satisfying certain differential constraints. The (super)spinprojectors isolate the component of an unconstrained (super)field whichfurnishes the irreducible representation with maximal (super)spin. The explicitform of these (super)projectors are found in the following backgrounds:three-dimensional ($3d$) $\mathcal{N}$-extended Minkowski superspace$\mathbb{M}^{3|2 \mathcal{N}}$; $3d$ (anti-)de Sitter space (A)dS$_3$; $3d$$\mathcal{N} = 1$ anti-de Sitter superspace AdS$^{3|2}$; four-dimensional($4d$) $\mathcal{N} = 1$ anti-de Sitter superspace AdS$^{4|4}$; and $4d$$\mathcal{N} = 2$ anti-de Sitter superspace AdS$^{4|8}$. An array of novelapplications are investigated, with an emphasis placed on the interplay between(super)projectors and (super)conformal higher-spin theory. Another majorcomponent of this thesis consists of a detailed study of massless higher-spingauge models with $\mathcal{N} = 2$ AdS supersymmetry in three dimensions. Wefind that every known higher-spin theory with $(1, 1)$ AdS supersymmetrydecomposes into a sum of two off-shell $(1, 0)$ supermultiplets which belong tothree series of inequivalent higher-spin gauge models.

Superspin projection operators and off-shell higher-spin supermultiplets on Minkowski and anti-de Sitter superspace