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) 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 AdS5/CFT4 duals, with special emphasis on non-toric singularities.

Fazzi, M., Tomasiello, A. (2020). Holography, matrix factorizations and K-stability. JOURNAL OF HIGH ENERGY PHYSICS, 2020(5) [10.1007/JHEP05(2020)119].

Holography, matrix factorizations and K-stability

Tomasiello A.
2020

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) 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 AdS5/CFT4 duals, with special emphasis on non-toric singularities.
Articolo in rivista - Articolo scientifico
AdS-CFT Correspondence; Conformal Field Models in String Theory; Global Symmetries; Supersymmetric Gauge Theory; High Energy Physics - Theory; High Energy Physics - Theory
English
2020
2020
5
119
open
Fazzi, M., Tomasiello, A. (2020). Holography, matrix factorizations and K-stability. JOURNAL OF HIGH ENERGY PHYSICS, 2020(5) [10.1007/JHEP05(2020)119].
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