Running decompactification, sliding towers, and the distance conjecture

DOI10.1007/JHEP12(2023)182arXiv2306.16440OpenAlexW4390412671MaRDI QIDQ6120168

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Publication date: 20 February 2024

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Abstract: We study towers of light particles that appear in infinite-distance limits of moduli spaces of 9-dimensional $mathcalN=1$ 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${\displaystyle }$ 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 $alphagefrac1sqrtd-2$ 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.

Full work available at URL: https://arxiv.org/abs/2306.16440

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