On heterotic model constraints

Understand

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.