Landau-Ginzburg Mirror Symmetry provides for the construction of two algebraic objects, called the A- and B-models. Special cases of these models–constructed using invertible polynomials and abelian symmetry groups–are well understood. In this thesis, we consider generalizations of the B-model, and specifically address the associativity of the multiplication in these models. We also prove an explicit B-model isomorphism for a class of polynomials in three variables.
College and Department
Physical and Mathematical Sciences; Mathematics
BYU ScholarsArchive Citation
Brown, Matthew Robert, "Construction and Isomorphism of Landau-Ginzburg B-Model Frobenius Algebras" (2016). All Theses and Dissertations. 5652.
Mirror Symmetry, Frobenius Algebras, Algebraic Geometry