ADE Singularities and Coset Models

Details ADE Singularities and Coset Models ADE Singularities and Coset Models

2001-05-20

arxiv.org/abs/hep-th/0105194v1

Nucl.Phys. B607 (2001) 3-37

Physics

High Energy Physics

High Energy Physics - Theory

41 pages; harvmac

Scientific paper

10.1016/S0550-3213(01)00263-2

We consider the compactification of the IIA string to (1+1) dimensions on non-compact 4-folds that are ALE fibrations. Supersymmetry requires that the compactification include 4-form fluxes, and a particular class of these models has been argued by Gukov, Vafa and Witten to give rise to a set of perturbed superconformal coset models that also have a Landau-Ginzburg description. We examine all these ADE models in detail, including the exceptional cosets. We identify which perturbations are induced by the deformation of the singularity, and compute the Landau-Ginzburg potentials exactly. We also show how the the Landau-Ginzburg fields and their superpotentials arise from the geometric data of the singularity, and we find that this is most naturally described in terms of non-compact, holomorphic 4-cycles.

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