HOLOGRAPHY, MATRIX FACTORIZATIONS AND K-STABILITY

Holography, matrix factorizations and K-stability

Holography, matrix factorizations and K-stability

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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 K-stability) 3 IN 1 COCONUT 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 Floor Mounts been developed to associate a quiver to a singularity.In this paper, we put together these ideas to produce new AdS5/CFT4 duals, with special emphasis on non-toric singularities.

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