2015/07/23 by Ana Ros Camacho, Camacho, Ana Ros · 1 citation
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Algebra (math.QA) #math-ph #math.CT #math.MP #math.QA
paper · pdf · doi:10.48550/arxiv.1507.06494
PhD thesis
arxiv created 2015/07/23 · openalex publication_date 2015/07/23 · arxiv updated 2015/07/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This is the author's PhD thesis, which focuses on the so-called Landau-Ginzburg/conformal field theory correspondence. This correspondence dates from the late 80s and early 90s in the physics literature and in particular, it predicts a relation between defects in Landau-Ginzburg models and defects in conformal field theories. This relation is supported by examples, but not understood in general, nor up to date is there a clear mathematical conjecture of the Landau-Ginzburg/conformal field theory correspondence. The pursuit of a precise mathematical statement of this conjecture continues to generate a rich mathematical output, and this PhD thesis is another contribution towards this end.