2008/03/31 by Samuel Monnier
Mathematics · Physics and Astronomy · #Algebraic number #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Boundary (topology) #Boundary conformal field theory #Central charge #Charge (physics) #Conformal field theory #Conformal map #Geometry and complex manifolds #Renormalization group #Worldsheet #hep-th
paper · pdf · doi:10.1088/1126-6708/2008/06/022
published as JHEP0806:022,2008 · 58 pages. V4 : Problem with the bibliography corrected
openalex publication_date 2008/06/10 · arxiv created 2008/07/06 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.