Work

Log degenerations of LG models for toric orbifolds and tt∗ geometry

Year: 2024

Type: article

Abstract: We discuss the behavior of Landau–Ginzburg models for toric orbifolds near the large volume limit. This enables us to express mirror symmetry as an isomorphism of Frobenius manifolds that aquire logarithmic poles along a boundary divisor. If the toric orbifold admits a crepant resolution, we construct a global moduli space on the B-side and show that the associated tt∗-geometry exists globally.

Source: Kyoto journal of mathematics

DOI: 10.1215/21562261-2024-0015

Authors: Etienne Mann, Thomas Reichelt

Institutions: Centre National de la Recherche Scientifique, Laboratoire Angevin de Recherche en Mathématiques, Université d'Angers, University of Mannheim

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Deutsche Forschungsgemeinschaft, Agence Nationale de la Recherche

Awards: Categorification in algebraic geometry, Centre de Mathématiques Henri Lebesgue : fondements, interactions, applications et Formation, New symmetries for Gromov-Witten theory, Mirror Symmetry and Irregular Singularities coming from Physics, G7891373559