Abstract
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.
Degree
MS
College and Department
Physical and Mathematical Sciences; Mathematics
Rights
http://lib.byu.edu/about/copyright/
BYU ScholarsArchive Citation
Webb, Rachel Megan, "The Frobenius Manifold Structure of the Landau-Ginzburg A-model for Sums of An and Dn Singularities" (2013). Theses and Dissertations. 3794.
https://scholarsarchive.byu.edu/etd/3794
Date Submitted
2013-06-27
Document Type
Thesis
Handle
http://hdl.lib.byu.edu/1877/etd6352
Keywords
K3 surfaces, reconstruction lemma, concavity axiom, Frobenius algebra, Frobenius manifold, Landau-Ginzburg mirror symmetry, FJRW theory
Language
English