Minimal String Unification and Constraint on Hidden Sector

Abstract

We examine whether a minimal string model possessing the same massless spectra as the MSSM can be obtained from $Z_4$, $Z_6$ and $Z_8$ orbifold constructions. Using an anomaly cancellation condition of the target space duality symmetry, we derive allowable values of a level $k_1$ of U(1)${}_Y$ for the minimal string model on the orbifolds through computer analyses. We investigate threshold corrections of the gauge coupling constants of SU(3), SU(2) and U(1)${}_Y$ and examine consistencies of the model with the LEP experiments. Further we investigate what kinds of hidden sectors are consistent with the minimal string models. Also their gauge coupling constants of the hidden groups are estimated. We discuss Yukawa couplings of the models.

36 pages, KANAZAWA-94-09, Latex file

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• Soft Scalar-Mass Sum Rule in Gauge-Yukawa Unified Models and Its Superstring Interpretation
• Modular symmetry in magnetized/intersecting D-brane models
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• Discrete R-symmetry anomalies in heterotic orbifold models
• MSSM-like models on Z(8) toroidal orbifolds
• Phenomenological implications of moduli-dominant SUSY breaking
• Flavor structure in $SO(32)$ heterotic string theory
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• Gauge coupling unification in SO(32) heterotic string theory with magnetic fluxes
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• Flat Directions in $Z_{2n}$ Orbifold Models
• Modular symmetry anomaly and non-perturbative neutrino mass terms in magnetized orbifold models
• Light adjoint scalars and unification at the string scale
• Bottom-up approach to B-parameter in minimal supersymmetric standard model