CERN Accelerating science

Article
Report number arXiv:2311.01536 ; CERN-TH-2023-204
Title Stringy Evidence for a Universal Pattern at Infinite Distance
Author(s) Castellano, Alberto (Madrid, IFT) ; Ruiz, Ignacio (Madrid, IFT) ; Valenzuela, Irene (Madrid, IFT ; CERN)
Publication 2024-06-06
Imprint 2023-11-02
Number of pages 127
Note 93 pages + appendices, 11 figures
In: JHEP 2406 (2024) 037
DOI 10.1007/JHEP06(2024)037
Subject category hep-th ; Particle Physics - Theory
Abstract Infinite distance limits in the moduli space of a quantum gravity theory are characterized by having infinite towers of states becoming light, as dictated by the Distance Conjecture in the Swampland program. These towers imply a drastic breakdown in the perturbative regimes of the effective field theory at a quantum gravity cut-off scale known as the species scale. In this paper, we find a universal pattern satisfied in all known infinite distance limits of string theory compactifications, which relates the variation in field space of the mass of the tower and the species scale: $\frac{\vec\nabla m}{m} \cdot\frac{\vec\nabla \Lambda_{\rm sp}}{ \Lambda_{\rm sp}}=\frac{1}{d-2}$ in $d$ spacetime dimensions. This implies a more precise definition of the Distance conjecture and sharp bounds for the exponential decay rates. We provide plethora of evidence in string theory and identify some sufficient conditions that allow the pattern to hold from a bottom-up perspective.
Copyright/License preprint: (License: arXiv nonexclusive-distrib 1.0)
publication: © 2024-2025 The Authors (License: CC-BY-4.0), sponsored by SCOAP³



Corresponding record in: Inspire


 Element opprettet 2023-12-01, sist endret 2025-01-24


Fulltekst:
2311.01536 - Last ned fulltekstPDF
document - Last ned fulltekstPDF