2019/01/16 by Ana Ros Camacho, Camacho, Ana Ros
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA) #math.QA
paper · pdf · doi:10.48550/arxiv.1901.05365
openalex publication_date 2019/01/16 · arxiv created 2019/04/12 · arxiv updated 2019/04/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this brief review we introduce the Landau-Ginzburg/conformal field theory correspondence, a result from the physics literature of the late 80s and early 90s which predicts a relation between categories of matrix factorizations and categories of representations of vertex operator algebras. To date there is no precise mathematical statement for it. Here, we explain some recent examples of this correspondence, some standing conjectures and future directions of research.