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Abstract: We take a worldsheet point of view on the relation between Ramond-Ramondcharges, invariants of boundary renormalization group flows and K-theory. Incompact super Wess-Zumino-Witten models, we show how to associate invariants ofthe generalized Kondo renormalization group flows to a given supersymmetricboundary state. The procedure involved is reminiscent of the way one can probethe Ramond-Ramond charge carried by a D-brane in conformal field theory, andthe set of these invariants is isomorphic to the twisted K-theory of the Liegroup. We construct various supersymmetric boundary states, and we compute thecharges of the corresponding D-branes, disproving two conjectures on thissubject. We find a complete agreement between our algebraic charges and thegeometry of the D-branes.



Autor: Samuel Monnier

Fuente: https://arxiv.org/







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