Holography, Matrix Factorizations and K-stability

Marco Fazzi; Alessandro Tomasiello

doi:10.1007/JHEP05(2020)119

paper

Holography, Matrix Factorizations and K-stability

arXiv:1906.08272 · doi:10.1007/JHEP05(2020)119

Abstract

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.

59 pages, 11 figures, 2 appendices; v2: typos fixed, expanded discussion in section 2.5 and 4.2