Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-05-20
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.
Eguchi Tohru
Warner Nicholas P.
Yang Sung-Kil
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