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

The linear (homogeneous and inhomogeneous) (k, N, N-k) supermultiplets of theN-extended one-dimensional Supersymmetry Algebra induce D-modulerepresentations for the N=2,4,8 superconformal algebras.  For N=2, the D-module representations of the A(1,0) superalgebra areobtained. For N=4 and scaling dimension \lambda=0, the D-module representationsof the A(1,1) superalgebra are obtained. For $\lambda\neq 0$, the D-modulerepresentations of the D(2,1;\alpha) superalgebras are obtained, with $\alpha$determined in terms of the scaling dimension $\lambda$ according to:$\alpha=-2\lambda$ for k=4, i.e. the (4,4) supermultiplet, $\alpha=-\lambda$for k=3, i.e. (3,4,1), and $\alpha=\lambda$ for k=1, i.e. (1,4,3). For$\lambda\neq 0$ the (2,4,2) supermultiplet induces a D-module representationfor the centrally extended sl(2|2) superalgebra. For N=8, the (8,8) rootsupermultiplet induces a D-module representation of the D(4,1) superalgebra atthe fixed value $\lambda=1/4$. A Lagrangian framework to constructone-dimensional, off-shell, superconformal invariant actions fromsingle-particle and multi-particles D-module representations is discussed. Itis applied to explicitly construct invariant actions for the homogeneous andinhomogeneous N=4 (1,4,3) D-module representations (in the last case forseveral interacting supermultiplets of different chirality).

D-module Representations of N=2,4,8 Superconformal Algebras and Their Superconformal Mechanics