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 Tools annual

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 Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

In three dimensions, it is known that field theories possessing extended$(p,q)$ anti-de Sitter (AdS) supersymmetry with ${\cal N}=p+q \geq 3$ can berealised in (2,0) AdS superspace. Here we present a formalism to reduce everyfield theory with (2,0) AdS supersymmetry to ${\cal N}=1$ AdS superspace. Asnontrivial examples, we consider supersymmetric nonlinear sigma modelsformulated in terms of ${\cal N}=2$ chiral and linear supermultiplets. The$(2,0) \to (1,0)$ AdS reduction technique is then applied to the off-shellmassless higher-spin supermultiplets in (2,0) AdS superspace constructed in[1]. As a result, for each superspin value $\hat s$, integer $(\hat s= s)$ orhalf-integer $(\hat s= s+1/2)$, with $s=1,2,\dots $, we obtain two off-shellformulations for a massless ${\cal N}=1$ superspin-$\hat s$ multiplet inAdS${}_3$. These models prove to be related to each other by a superfieldLegendre transformation in the flat superspace limit, but the duality is notlifted to the AdS case. Two out of the four series of ${\cal N}=1$supersymmetric higher-spin models thus derived are new. The constructedmassless ${\cal N}=1$ supersymmetric higher-spin actions in AdS${}_3$ are usedto formulate (i) higher-spin supercurrent multiplets in ${\cal N}=1$ AdSsuperspace; and (ii) new topologically massive higher-spin off-shellsupermultiplets. Examples of ${\cal N}=1$ higher-spin supercurrents are givenfor models of a complex scalar supermultiplet. We also present two newoff-shell formulations for a massive ${\cal N}=1$ gravitino supermultiplet inAdS${}_3$.

Field theories with (2,0) AdS supersymmetry in ${\cal N}=1$ AdS superspace