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

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

2000-06-30

arxiv.org/abs/hep-th/0006247v3

Nucl.Phys. B622 (2002) 269-278

Physics

High Energy Physics

High Energy Physics - Theory

12p, harvmac, minor corrrections and ref added

Scientific paper

10.1016/S0550-3213(01)00613-7

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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