Recent results of the searches for Supersymmetry in final states with one or two leptons at CMS are presented. Many Supersymmetry scenarios, including the Constrained Minimal Supersymmetric extension of the Standard Model (CMSSM), predict a substantial amount of events containing leptons, while the largest fraction of Standard Model background events -which are QCD interactions -gets strongly reduced by requiring isolated leptons. The analyzed data was taken in 2011 and corresponds to an integrated luminosity of approximately L = 1 fb −1 . The center-of-mass energy of the pp collisions was √ s = 7 TeV.

No abstract

We consider a supersymmetric hybrid inflation in the framework of the Randall-Sundrum type II braneworld model. We derive an analytical expression for the scalar potential and find that the F-term dominates the hybrid inflation process. We show that, for some value of brane tension, we can eliminate the fine-tuning problem related to coupling constant κ of the potential. We also calculate all known spectrum inflation parameters and show that observational bounds from WMAP5, BAO and SN observations are satisfied.

No abstract

We study a new reheating approach in the framework of standard and braneworld inflation. Using the technique developed in Ref. 1, we consider a small field arctangent potential and show that this approach can be similarly applied within Randall–Sundrum type 2 scenario and provide additional constraints to reheating temperature [Formula: see text] and duration of reheating [Formula: see text]. We found that in brane case the effective equation-of-state parameter [Formula: see text] must be close to 1, to satisfy Planck-2018 joint constraints on [Formula: see text].

We extend the work of Argyres and Tye (1991 Phys. Rev. Lett. 67 3339) on fractional superstrings established for su k (2)/u(1) to higher-dimensional parafermionic cosets. We derive the generic formula for the critical spacetime dimensions and the corresponding critical central charges for the more general su k (N)/u(1) N −1 coset N = 2, 3, . . . . We also show that only the cosets su 2 (2)/u(1) and su 3 (3)/u(1) 2 allow one to build critical (N, k)-string models. Other features are also discussed.

We study the inflationary dynamics of the universe in the Randall-Sundrum typeII Braneworld model. We consider both an inverse-power law and exponential potentials and apply the Slow-Roll approximation in high energy limit to derive analytical expression of relevant inflationary quantities.An upper bound for the coupling constant was also obtained and a numerical value of perturbation spectrum is calculated in good agreement with observation.

No abstract