Stress-Testing Swampland Bounds with Class S Theories
Abstract
We test the Sharpened Distance Conjecture (SharpDC) for CFTs, as well as the Refined Distance Conjecture (RDC), in AdS5 gravitational spacetimes, using the CFT dual. The former provides a lower bound on the exponential mass decay rate of the tower of states becoming light at infinite distance in the conformal manifold, while the latter bounds the bulk field range that can be traversed before the exponential behaviour of the tower kicks in. We prove the SharpDC for any large N Lagrangian supersymmetric gauge theory with a finite number M of gauge factors and vanishing one-loop β-function. We also investigate whether it universally holds in the limits of large central charge, finding that it does not: We exhibit concrete examples in Class S theories where the conjecture is violated in the M→∞ limit with N fixed, where the size of the bulk internal geometry is much larger than the AdS curvature scale. We also test the RDC in the moduli space of Class S theories without punctures in the large N limit, showing that it amounts to a precise upper bound on the Weil-Petersson diameter of the moduli space of Riemann surfaces of genus g. This bound is consistent with all the mathematical literature up to date, but so far remains unproven.
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BibTeX
@misc{fenati2026stresstesting,
title = {{Stress-Testing Swampland Bounds with Class S Theories}},
author = {Gabriel Fenati and Miguel Montero and Irene Valenzuela},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2608.28333},
eprint = {2608.28333},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.28333},
}
RIS
TY - UNPB
TI - Stress-Testing Swampland Bounds with Class S Theories
AU - Gabriel Fenati
AU - Miguel Montero
AU - Irene Valenzuela
PY - 2026
DA - 2026/10/09
PB - arXiv
DO - 10.48550/arxiv.2608.28333
UR - https://arxiv.org/abs/2608.28333
AB - We test the Sharpened Distance Conjecture (SharpDC) for CFTs, as well as the Refined Distance Conjecture (RDC), in AdS_5 gravitational spacetimes, using the CFT dual. The former provides a lower bound on the exponential mass decay rate of the tower of states becoming light at infinite distance in the conformal manifold, while the latter bounds the bulk field range that can be traversed before the exponential behaviour of the tower kicks in. We prove the SharpDC for any large N Lagrangian supersymmetric gauge theory with a finite number M of gauge factors and vanishing one-loop β-function. We also investigate whether it universally holds in the limits of large central charge, finding that it does not: We exhibit concrete examples in Class S theories where the conjecture is violated in the M→∞ limit with N fixed, where the size of the bulk internal geometry is much larger than the AdS curvature scale. We also test the RDC in the moduli space of Class S theories without punctures in the large N limit, showing that it amounts to a precise upper bound on the Weil-Petersson diameter of the moduli space of Riemann surfaces of genus g. This bound is consistent with all the mathematical literature up to date, but so far remains unproven.
ER -