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A mathematical formalism for the Kondo effect in WZW branes

Po Hu·Igor Kriz
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Abstract

In this paper, we show how to adapt our rigorous mathematical formalism for closed/open conformal field theory so that it captures the known physical theory of branes in the WZW model. This includes a mathematically precise approach to the Kondo effect, which is an example of evolution of one conformally invariant boundary condition into another through boundary conditions which can break conformal invariance, and a proposed mathematical statement of the Kondo effect conjecture. We also review some of the known physical results on WZW boundary conditions from a mathematical perspective.

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Po Hu, Igor Kriz. 2006-08-27. A mathematical formalism for the Kondo effect in WZW branes. https://doi.org/10.1063/1.2746133

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