Holography, Matrix Factorizations and K-stability
High Energy Physics - Theory
2020-06-24 v2
Abstract
Placing D3-branes at conical Calabi-Yau threefold singularities produces many AdS/CFT 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/CFT duals, with special emphasis on non-toric singularities.
Cite
@article{arxiv.1906.08272,
title = {Holography, Matrix Factorizations and K-stability},
author = {Marco Fazzi and Alessandro Tomasiello},
journal= {arXiv preprint arXiv:1906.08272},
year = {2020}
}
Comments
59 pages, 11 figures, 2 appendices; v2: typos fixed, expanded discussion in section 2.5 and 4.2