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

Published in Journal of High Energy Physics. 2008, vol. 2008, no. 06, p. 022 - 022
Abstract We 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.
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MONNIER, Samuel. Kondo flow invariants, twisted K-theory and Ramond-Ramond charges. In: Journal of High Energy Physics, 2008, vol. 2008, n° 06, p. 022 - 022. https://archive-ouverte.unige.ch/unige:8545

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Deposited on : 2010-07-02

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