Constructing D-Branes from K-Theory

dc.creatorOlsen, Kasper
dc.creatorSzabo, Richard J.
dc.date1999-07-16
dc.date1999-08-06
dc.date.accessioned2026-07-07T04:26:45Z
dc.date.available2026-07-07T04:26:45Z
dc.descriptionA detailed review of recent developments in the topological classification of D-branes in superstring theory is presented. Beginning with a thorough, self-contained introduction to the techniques and applications of topological K-theory, the relationships between the classic constructions of K-theory and the recent realizations of D-branes as tachyonic solitons, coming from bound states of higher dimensional systems of unstable branes, are described. It is shown how the K-theory formalism naturally reproduces the known spectra of BPS and non-BPS D-branes, and how it can be systematically used to predict the existence of new states. The emphasis is placed on the new interpretations of D-branes as conventional topological solitons in other brane worldvolumes, how the mathematical formalism can be used to deduce the gauge field content on both supersymmetric and non-BPS branes, and also how K-theory predicts new relationships between the various superstring theories and their D-brane spectra. The implementations of duality symmetries as natural isomorphisms of K-groups are discussed. The relationship with the standard cohomological classification is presented and used to derive an explicit formula for D-brane charges. Some string theoretical constructions of the K-theory predictions are also briefly described.
dc.description112 pages LaTeX, 1 .eps file, uses epsf.tex; Run 3 times to generate table of contents properly; Typos corrected
dc.identifierhttps://arxiv.org/abs/hep-th/9907140
dc.identifierhttp://arxiv.org/abs/hep-th/9907140
dc.identifierAdv.Theor.Math.Phys. 3 (1999) 889-1025
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56169
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectMathematical Physics
dc.subjectK-Theory and Homology
dc.titleConstructing D-Branes from K-Theory
dc.typetext

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