A direct computation from the tentative NS5-brane spectrum gives the opposite Z3 topological term (1/3 vs 2/3) from Tachikawa-Zhang, so the spectrum or the inflow interpretation must change.
The Non-SUSY Orbifolder: a tool to build promising non-supersymmetric string models
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We introduce the non-SUSY orbifolder, which is a program developed in C++ that computes the low-energy effective theory of non-supersymmetric heterotic orbifold compactifications. The program includes routines to compute the massless spectrum, to automatically generate large sets of orbifold models, to identify phenomenologically interesting models (e.g. models sharing features of the Standard Model (SM) or Grand Unified Theories (GUT)) and to analyze their vacuum configurations.
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Non-supersymmetric branes and discrete topological terms
A direct computation from the tentative NS5-brane spectrum gives the opposite Z3 topological term (1/3 vs 2/3) from Tachikawa-Zhang, so the spectrum or the inflow interpretation must change.