Supersymmetry and superstring phenomenology

Abstract

We briefly cover the early history of supersymmetry, describe the relation of SUSY quantum field theories to superstring theories and explain why they are considered a likely tool to describe the phenomenology of high energy particle theory beyond the Standard Model. * This work was supported in part by the

Vacuum energy density in the quantum Yang–Mills theory

“…At least, from the qualitative point of view it satisfies almost all the criteria necessary for the dark energy/matter candidate (see here section 8 and discussions in Refs. [72,73]). From the quantitative numerical point of view it is also much better than the estimate from the Higgs field's contribution to the VED, which is about [74,75]…”

Supersymmetry, superstrings and phenomenology

“…Bruno was known for the proof of the CPT theorem with Gerhart Lüders, the elucidation of chiral Lagrangians and chiral anomalies with Wess and others, the discovery of supersymmetry (SUSY) in four dimensions with Wess, and the formulation of supergravity (SUGRA) with Deser. Some of the historical material presented here is drawn from an article [1] that I wrote with Bruno in a memorial volume for his long-time collaborator, Julius Wess, who died in August 2007.…”

“…Because of boson-fermion symmetry, a supersymmetric version of the standard model, the first version of which was written down by Fayet [8], requires doubling the number of elementary particles: for every spin- 1 2 quark or lepton, there is an accompanying spin-0 'squark' or 'slepton'; for every spin-1 gauge boson, there is a spin-1 2 'gaugino'. In the standard model, breaking the electroweak gauge symmetry is accomplished by the introduction of just one complex doublet of scalar fields, that is, a total of four real fields, three of which become the longitudinal components of the W and Z gauge bosons, leaving just one physical scalar-the Higgs particle whose discovery was announced at CERN in 2012.…”