Abstract:
In 1974 Salam and Strathdee introduced methods based superspace
which facilitated the construction of arbitrary representations of
spacetime supersymmetry. While this approach allows for the derivation
of component field results for low dimensions, it becomes remarkably
opaque for higher dimensional superfields. To overcome this disability,
recently there has been introduced new methods based on 'adynkra'
networks, Dynkin Label/Young Tableaux, Plethysm, and IT algorithms.
Details of this approach are illustrated in the case of ten and eleven
dimensional theories.