On heterotic model constraints
arXiv:0804.2096 · doi:10.1088/1126-6708/2008/08/060
Abstract
The constraints imposed on heterotic compactifications by global consistency and phenomenology seem to be very finely balanced. We show that weakening these constraints, as was proposed in some recent works, is likely to lead to frivolous results. In particular, we construct an infinite set of such frivolous models having precisely the massless spectrum of the MSSM and other quasi-realistic features. Only one model in this infinite collection (the one constructed in arXiv:hep-th/0512149) is globally consistent and supersymmetric. The others might be interpreted as being anomalous, or as non-supersymmetric models, or as local models that cannot be embedded in a global one. We also show that the strongly coupled model of arXiv:hep-th/0512149 can be modified to a perturbative solution with stable SU(4) or SU(5) bundles in the hidden sector. We finally propose a detailed exploration of heterotic vacua involving bundles on Calabi-Yau threefolds with Z_6 Wilson lines; we obtain many more frivolous solutions, but none that are globally consistent and supersymmetric at the string scale.
38 pages
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- On a class of non-simply connected Calabi-Yau threefolds
- Root Bundles and Towards Exact Matter Spectra of F-theory MSSMs
- Statistics of Limit Root Bundles Relevant for Exact Matter Spectra of F-Theory MSSMs
- Exploring a new peak in the heterotic landscape
- Brill-Noether-general Limit Root Bundles: Absence of vector-like Exotics in F-theory Standard Models
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- Root bundles: Applications to F-theory Standard Models