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Fake supersymmetry with tadpole potentials
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We study tadpole potentials of non-supersymmetric strings, resorting to a first-order formalism known in the literature as fake supersymmetry. We present a detailed analysis for vacua with only gravity and the dilaton, displaying the obstructions that forbid the simplest inclusion of form fluxes. Our focus is on codimension-one vacua, for which we propose a definition of energy that might be suitable for stability arguments. Our findings point to the central role of boundary conditions when supersymmetry is absent or broken.
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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.
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