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arXiv · 2507.02787

Stability of non-supersymmetric vacua from calibrations

Vincent Menet·Alessandro Tomasiello
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Abstract

Supersymmetric vacua are protected from vacuum decay by energy positivity. No such argument is known for any non-supersymmetric vacua. In this paper, we try to extend to the latter a simpler argument based on calibrations, to at least protect them from decays mediated by D-brane bubbles, including their abelian bound states. We examine several classes of AdS$_4$ and AdS$_5$ solutions in type II string theory, including some new ones, involving coset spaces, sphere fibrations, K\"ahler--Einstein manifolds. Many of these vacua have resisted against all the decay channels we were able to assess. We also show how to use calibrations for the stability of D-branes already present in a non-supersymmetric solution.

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Vincent Menet, Alessandro Tomasiello. 2025-07-03. Stability of non-supersymmetric vacua from calibrations. https://arxiv.org/abs/2507.02787

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