In this thesis we compute the Frobenius manifold of the Landau-Ginzburg A-model (FJRW theory) for certain polynomials. Specifically, our computations apply to polynomials that are sums of An and Dn singularities, paired with the corresponding maximal symmetry group. In particular this computation applies to several K3 surfaces. We compute the necessary correlators using reconstruction, the concavity axiom, and new techniques. We also compute the Frobenius manifold of the D3 singularity.
College and Department
Physical and Mathematical Sciences; Mathematics
BYU ScholarsArchive Citation
Webb, Rachel Megan, "The Frobenius Manifold Structure of the Landau-Ginzburg A-model for Sums of An and Dn Singularities" (2013). All Theses and Dissertations. 3794.
K3 surfaces, reconstruction lemma, concavity axiom, Frobenius algebra, Frobenius manifold, Landau-Ginzburg mirror symmetry, FJRW theory