Abstract Placing D3-branes at conical Calabi-Yau threefold singularities produces many AdS5/CFT4 duals.Recent progress in differential geometry has produced a technique (called jolly rancher filled gummies 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 fire resistant tablecloth paper, we put together these ideas to produce new AdS5/CFT4 duals, with special emphasis on non-toric singularities.