We study N = 1 global and local supersymmetric theories with a continuous global U(1)R symmetry. We discuss conditions for supersymmetry (SUSY) breaking and vacuum structures of R-symmetric SUSY models. Especially we find the conditions for R-symmetry breaking and runway vacua in global supersymmetric theories. We introduce explicit R-symmetry breaking terms into such models in global and local...

General practices are “reaching breaking point” because of the “intense” workload pressure facing doctors and staff, country’s most senior GP leaders have warned. The warning came as new figures from NHS Digital showed that in England delivered almost five million more appointments March 2021 than month before nearly three 2019.1 Richard Vautrey, chair BMA Practitioners Committee, said underl...

In this paper, a heavy-duty loader operated in an underground mine is discussed. Due to extremely harsh operational conditions, important maintenance problem related engine oil pressure. We have found that when the degradation process appears, nature of variation pressure changes. Following observation, we proposed data analysis procedure for structure break point detection. It based on specifi...

Breath holding time is the time taken by the subject to hold his breath as long as he can. During voluntary breath holding, tissues continue to utilize oxygen and liberate carbon dioxide. Therefore during breath holding arterial pO2 falls and pCO2 rises. Since both these factors are powerful respiratory stimulants, a point is reached where the respiratory drive becomes so strong that the person...

We construct a model with long-lived metastable vacua in which all the relevant parameters, including the supersymmetry breaking scale, are generated dynamically by dimensional transmutation. The metastable vacua appear along a pseudo-runaway direction near a point of enhanced symmetry as a result of a balance between non-perturbative and perturbative quantum effects. We show that metastable su...

We carry out a comprehensive analysis of the nonminimal supersymmetric standard model (NMSSM) with baryon and lepton number violation. We catalogue the baryon and lepton number violating dimension four and five operators of the model. We then study the renormalization group evolution and infrared stable fixed points of the Yukawa couplings and the soft supersymmetry breaking trilinear couplings...

We conjecture that the extra dimensions are physical non-compact at high energy scale or high temperature; after the symmetry breaking or cosmological phase transition, the bulk cosmological constant may become negative, and then, the extra dimensions may become physical compact at low energy scale. We show this in a five-dimensional toy brane model with three parallel 3-branes and a real bulk ...