Geodesic Gradient Flows in Moduli Space
High Energy Physics - Theory
2023-12-01 v1
Abstract
Geodesics in moduli spaces of string vacua are important objects in string phenomenology. In this paper, we highlight a simple condition that connects brane tensions, including particle masses, with geodesics in moduli spaces. Namely, when a brane's scalar charge-to-tension ratio vector has a fixed length, then the gradient flow induced by the logarithm of the brane's tension is a geodesic. We show that this condition is satisfied in many examples in the string landscape.
Keywords
Cite
@article{arxiv.2311.18693,
title = {Geodesic Gradient Flows in Moduli Space},
author = {Muldrow Etheredge and Ben Heidenreich},
journal= {arXiv preprint arXiv:2311.18693},
year = {2023}
}