A new F-theory construction with two elliptic sections gives an MSSM spectrum with no vector-like exotics via Wilson line breaking.
Hidden SUSY from precision gauge unification
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abstract
We revisit the implications of naturalness and gauge unification in the MSSM. We find that precision unification of the couplings in connection with a small mu parameter requires a highly compressed gaugino pattern as it is realized in mirage mediation. Due to the small mass difference between gluino and LSP, collider limits on the gluino mass are drastically relaxed. Without further assumptions, the relic density of the LSP is very close to the observed dark matter density due to coannihilation effects.
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Heterotic-$\mathbf{F}$-theory Duality with Wilson Line Symmetry-breaking
A new F-theory construction with two elliptic sections gives an MSSM spectrum with no vector-like exotics via Wilson line breaking.