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A bstract Placing D3-branes at conical Calabi-Yau threefold singularities produces many AdS 5 /CFT 4 duals. Recent progress in differential geometry has produced a technique (called K-stability) to recognize which singularities admit conical Calabi-Yau metrics. On the other hand, the algebraic technique of non-commutative crepant resolutions, involving matrix factorizations, has been developed to associate a quiver to a singularity. In this paper, we put together these ideas to produce new AdS 5 /CFT 4 duals, with special emphasis on non-toric singularities.
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Fazzi et al. (2020) studied this question.
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