# Calabi-Yau/Landau-Ginzburg Correspondence for Weil-Peterson Metrics and $tt^*$ Structures

@inproceedings{Tang2022CalabiYauLandauGinzburgCF, title={Calabi-Yau/Landau-Ginzburg Correspondence for Weil-Peterson Metrics and \$tt^*\$ Structures}, author={Xinxing Tang and Junrong Yan}, year={2022} }

. The goal of this paper is to establish the Calabi-Yau/Landau-Ginzburg (CY/LG) correspondence for the tt ∗ geometry structure, which is thought to hold all genus 0 information about B-models. More explicitly, given a non-degenerate homogeneous polynomial f ∈ C [ z 1 , . . . , z n ] of degree n , one can investigate the Landau-Ginzburg B-model, which concerns the deformation of singularities. Its zero set, on the other hand, deﬁnes a Calabi-Yau hypersurface X f in P n − 1 , whereas the Calabi…

## One Citation

### Constructing the LG/CY isomorphism between $tt^*$ geometries

- Mathematics
- 2022

A bstract . For a nondegenerate homogeneous polynomial f ∈ C [ z 0 ,. .., z n + 1 ] with degree n + 2, we can obtain a tt ∗ structure from the Landau-Ginzburg model ( C n + 2 , f ) and a (new) tt ∗…

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