We consider supersymmetry in five dimensions, where the fermionic parameters are a 2-form under SL(5). Supermultiplets investigated using pure spinor superfield formalism, and found to be closely related infinite-dimensional extensions of algebra: Borcherds superalgebra ${\scr B}(E_4)$, tensor hierarchy algebra $S(E_4)$ exceptional $E(5,10)$. A theorem relating B}(E_4)$ $E(5,10)$ all levels is ...

We review the origin of soft supersymmetry–breaking terms in N = 1 supergravity models of particle physics. We first consider general formulae for those terms in general models with a hidden sector breaking supersymmetry at an intermediate energy scale. The results for some simple models are given. We then consider the results obtained in some simple superstring models in which particular assum...

Ten reasons are given why supersymmetry is the leading candidate for physics beyond the Standard Model. Ultimately, the experimental discovery of supersymmetric particles at future colliders will determine whether supersymmetry is relevant for TeV scale physics. The grand hope of supersymmetry enthusiasts is to connect TeV scale supersymmetry with Planck scale physics. The ten most pressing the...

It is generally believed that weak scale supersymmetry implies weak scale supergravity, in the sense that the masses of the gravitino and gravitationally coupled moduli have masses below 100 TeV. This Letter presents a realistic framework for supersymmetry breaking in which these masses can be much larger. This solves the cosmological problems of hidden sector models. Supersymmetry breaking is ...

In this talk we will consider the partial breaking of extended supersymmetry. For simplicity, we will restrict our attention to the case N = 2 → N = 1, but much of what we find can be readily extended to the case of higher supersymmetries, spontaneously broken to N = 1. There is a heuristic argument which implies that extended supersymmetry cannot be spontaneously broken to N = 1 in four dimens...

We study the large N limit of a little string theory that reduces in the IR to U(N) N = 1 supersymmetric Yang-Mills with Chern Simons coupling k. Witten has shown that this field theory preserves supersymmetry if k ≥ N/2 and he conjectured that it breaks supersymmetry if k < N/2. We find a non-singular solution that describes the k = N/2 case, which is confining. We argue that increasing k corr...