Matrix factorizations and the Landau-Ginzburg/conformal field theory correspondence

Abstract

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.

PhD thesis

References in corpus (1)

• On homogeneous polynomials determined by their Jacobian ideal

Cited by in corpus (2)

• Necessary conditions for the existence of Morita Contexts in the bicategory of Landau-Ginzburg Models
• Some applications of the multiplicative tensor product of matrix factorizations