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Geodesic Gradient Flows in Moduli Space
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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 $-\nabla \log T$ 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.
Forward citations
Cited by 3 Pith papers
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The Boundary of Symmetric Moduli Spaces and the Swampland Distance Conjecture
For locally symmetric moduli spaces satisfying a compactifiability constraint, every infinite-distance limit produces an exponentially light tower of states, with decay rates forming the convex hull of the weights of ...
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Taxonomy of branes in infinite distance limits
Under the Emergent String Conjecture and a no-sliding assumption, particle and brane charges must sit on a finite set of lattices, reproducing known string spectra and predicting new branes.
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Moduli-Space Laplacians, Asymptotic Geometry, and the Emergent String Conjecture
Under the Emergent String Conjecture, the logarithm of any principal tower mass has a moduli-space Laplacian eigenvalue quantized to N/(D-d) for KK towers and N/2 for string oscillators, equal to the instanton-weighte...
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