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arXiv · hep-th/0006247

D-Branes on ALE Spaces and the ADE Classification of Conformal Field Theories

W. Lerche·A. Lutken·C. Schweigert
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Abstract

The spectrum of D2-branes wrapped on an ALE space of general ADE type is determined, by representing them as boundary states of N=2 superconformal minimal models. The stable quantum states have RR charges which precisely represent the gauge fields of the corresponding Lie algebra. This provides a simple and direct physical link between the ADE classification of N=2 superconformal field theories, and the corresponding root systems. An affine extension of this structure is also considered, whose boundary states represent the D2-branes plus additional D0-branes.

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W. Lerche, A. Lutken, C. Schweigert. 2001-11-14. D-Branes on ALE Spaces and the ADE Classification of Conformal Field Theories. https://doi.org/10.1016/s0550-3213(01)00613-7

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