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Running Decompactification, Sliding Towers, and the Distance Conjecture

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arxiv 2306.16440 v1 pith:IJD4I75A submitted 2023-06-28 hep-th

Running Decompactification, Sliding Towers, and the Distance Conjecture

classification hep-th
keywords conjecturedecompactificationrunningstringdistancelimitsmodulisharpened
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We study towers of light particles that appear in infinite-distance limits of moduli spaces of 9-dimensional $\mathcal{N}=1$ string theories, some of which notably feature decompactification limits with running string coupling. The lightest tower in such decompactification limits consists of the non-BPS Kaluza-Klein modes of Type I$'$ string theory, whose masses depend nontrivially on the moduli of the theory. We work out the moduli-dependence by explicit computation, finding that despite the running decompactification the Distance Conjecture remains satisfied with an exponential decay rate $\alpha \ge \frac{1}{\sqrt{d-2}}$ in accordance with the sharpened Distance Conjecture. The related sharpened Convex Hull Scalar Weak Gravity Conjecture also passes stringent tests. Our results non-trivially test the Emergent String Conjecture, while highlighting the important subtlety that decompactification can lead to a running solution rather than to a higher-dimensional vacuum.

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Cited by 13 Pith papers

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