New Dimensions for Wound Strings: The Modular Transformation of Geometry to Topology

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dc.creatorMcGreevy, John
dc.creatorSilverstein, Eva
dc.creatorStarr, David
dc.date2006-12-13
dc.date2007-01-03
dc.date.accessioned2026-07-07T11:59:33Z
dc.date.available2026-07-07T11:59:33Z
dc.descriptionWe show, using a theorem of Milnor and Margulis, that string theory on compact negatively curved spaces grows new effective dimensions as the space shrinks, generalizing and contextualizing the results in hep-th/0510044. Milnor's theorem relates negative sectional curvature on a compact Riemannian manifold to exponential growth of its fundamental group, which translates in string theory to a higher effective central charge arising from winding strings. This exponential density of winding modes is related by modular invariance to the infrared small perturbation spectrum. Using self-consistent approximations valid at large radius, we analyze this correspondence explicitly in a broad set of time-dependent solutions, finding precise agreement between the effective central charge and the corresponding infrared small perturbation spectrum. This indicates a basic relation between geometry, topology, and dimensionality in string theory.
dc.description28 pages, harvmac big. v2: references and KITP preprint number added, minor changes
dc.identifierhttps://arxiv.org/abs/hep-th/0612121
dc.identifierhttp://arxiv.org/abs/hep-th/0612121
dc.identifierPhys.Rev.D75:044025,2007
dc.identifierdoi:10.1103/PhysRevD.75.044025
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/206602
dc.subjectHigh Energy Physics - Theory
dc.subjectDifferential Geometry
dc.titleNew Dimensions for Wound Strings: The Modular Transformation of Geometry to Topology
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