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Working within the context of the strongly coupled $E_8\times E_8$ heteroticstring theory, we analyze the $B-L$ MSSM, a realistic supersymmetric extensionof the Standard Model, from both a low-energy phenomenology and high-energystring perspective. From a formal point of view, we examine differentconstructions of string vacua, which satisfy a series of theoretical andphenomenological constraints. Such vacua configurations are anomaly-free,preserve $N = 1$ SUSY at the compactification scale and yield the correct valuefor the $SO(10)$ unification scale and gauge coupling in the visible particlesector. Furthermore, we analyze a possible SUSY-breaking mechanism for the typeof vacua we construct, via gaugino condensation in the hidden sector. In anattempt to connect these findings to experiment, we study the prospects ofdetecting the $B-L$ MSSM at the LHC in the near future. Within this specificcontext, we show that R-parity violating decays of supersymmetric particlescould be amenable to direct detection at the ATLAS and CMS detectors. Detectionof these processes would not only be an explicit indication of "Beyond theStandard Model" physics, but would also hint strongly at the existence of $N=1$SUSY with spontaneously broken R-parity.

The strongly coupled $E_8\times E_8$ heterotic string: Geometry $\&$ Phenomenology