We consider Landau-Ginzburg models stemming from non-abelian groups comprised of non-diagonal symmetries, and we describe a rule for the mirror LG model. In particular, we present the non-abelian dual group G*, which serves as the appropriate choice of group for the mirror LG model. We also describe an explicit mirror map between the A-model and the B-model state spaces for two examples. Further, we prove that this mirror map is an isomorphism between the untwisted broad sectors and the narrow diagonal sectors in general.
College and Department
Physical and Mathematical Sciences; Mathematics
BYU ScholarsArchive Citation
Williams, Matthew Michael, "Mirror Symmetry for Non-Abelian Landau-Ginzburg Models" (2019). Theses and Dissertations. 8560.
algebraic geometry, mirror symmetry