Kondo flow invariants, twisted K-theory and Ramond-Ramond charges

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dc.creatorMonnier, Samuel
dc.date2008-03-11
dc.date2008-07-06
dc.date.accessioned2026-07-07T11:49:01Z
dc.date.available2026-07-07T11:49:01Z
dc.descriptionWe take a worldsheet point of view on the relation between Ramond-Ramond charges, invariants of boundary renormalization group flows and K-theory. In compact super Wess-Zumino-Witten models, we show how to associate invariants of the generalized Kondo renormalization group flows to a given supersymmetric boundary state. The procedure involved is reminiscent of the way one can probe the Ramond-Ramond charge carried by a D-brane in conformal field theory, and the set of these invariants is isomorphic to the twisted K-theory of the Lie group. We construct various supersymmetric boundary states, and we compute the charges of the corresponding D-branes, disproving two conjectures on this subject. We find a complete agreement between our algebraic charges and the geometry of the D-branes.
dc.description58 pages. V4 : Problem with the bibliography corrected
dc.identifierhttps://arxiv.org/abs/0803.1565
dc.identifierhttp://arxiv.org/abs/0803.1565
dc.identifierJHEP0806:022,2008
dc.identifierdoi:10.1088/1126-6708/2008/06/022
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/203089
dc.subjectHigh Energy Physics - Theory
dc.titleKondo flow invariants, twisted K-theory and Ramond-Ramond charges
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