Model building with \(F\)-theory. (English) Zbl 1260.81194

Summary: Despite much recent progress in model building with \(D\)-branes, it has been problematic to find a completely convincing explanation of gauge coupling unification. We extend the class of models by considering \(F\)-theory compactifications, which may incorporate unification more naturally. We explain how to derive the charged chiral spectrum and Yukawa couplings in \(N=1\) compactifications of \(F\)-theory with \(G\)-flux. In a class of models which admit perturbative heterotic duals, we show that the \(F\)-theory and heterotic computations match.


81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
81T13 Yang-Mills and other gauge theories in quantum field theory
81T10 Model quantum field theories
81T80 Simulation and numerical modelling (quantum field theory) (MSC2010)
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