Extended Poincaré Supersymmetry

Abstract

Supersymmetric extensions of the Poincaré algebra in D-dimensional space-time are reviewed and a catalogue of their representations is developed. This catalogue includes all supermultiplets whose states carry helicity ≤ 2 in the massless cases and ≤ 1 in the massive cases.

Untitled

“…The massless conformal multiplets describe the ordinary massless UIR's of the super Poincaré group obtained earlier by the Wigner method of induced representations (see, for instance, Ref. [27]). The self-conjugate N = 8 multiplet was obtained by the oscillator method in Ref.…”

“…In fact, not all of the derivatives ∂ I J , I < J are independent, as follows from the algebra (27). The independent set consists of the N − 1 derivatives…”

Intersecting Attractors

“…Its central extension reads as follows (see e.g. [19][20][21]): 0 ; 2Þ) of SUð2Þ Â Uð1Þ, and they are embedded in the ð3; 2Þ of the U-duality group SLð3; RÞ Â SLð2; RÞ.…”

Supermembranes: An Introduction

“…A useful reference is [42] which provides an exhaustive classication of all unitary representations of supersymmetry with maximum spin 2. In particular, we can understand d max = 6 from this point of view since this is the upper limit for scalar supermultiplets.…”

“…Alternatively, we may simply list all the vector supermultiplets in the classication of [42] and once again interpret D via (1.31). The results [68,23] are shown by the points labelled V in Table 1.…”