ADE Singularities and Coset Models
摘要
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.
引用
@article{arxiv.hep-th/0105194,
title = {ADE Singularities and Coset Models},
author = {Tohru Eguchi and Nicholas P. Warner and Sung-Kil Yang},
journal= {arXiv preprint arXiv:hep-th/0105194},
year = {2014}
}
备注
41 pages; harvmac