Birationally equivalent Landau-Ginzburg models on cotangent bundles and adjoint orbits

Fuente: arXiv
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Autor principal: Suzuki, Bruno
Formato: Preprint
Publicado: 2023
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author Suzuki, Bruno
author_facet Suzuki, Bruno
contents We show that the Lie potential on the minimal semisimple adjoint orbit $\mathcal{O}_n$ of $\mathfrak{sl}(n+1,\mathbb{C})$ coincides with toric potential on $T^*\mathbb P^{n}$. We then study the corresponding Landau-Ginzburg models in deformation families and give some examples of how the deformations affect the mirrors.
format Preprint
id arxiv_https___arxiv_org_abs_2304_13260
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Birationally equivalent Landau-Ginzburg models on cotangent bundles and adjoint orbits
Suzuki, Bruno
Algebraic Geometry
Symplectic Geometry
We show that the Lie potential on the minimal semisimple adjoint orbit $\mathcal{O}_n$ of $\mathfrak{sl}(n+1,\mathbb{C})$ coincides with toric potential on $T^*\mathbb P^{n}$. We then study the corresponding Landau-Ginzburg models in deformation families and give some examples of how the deformations affect the mirrors.
title Birationally equivalent Landau-Ginzburg models on cotangent bundles and adjoint orbits
topic Algebraic Geometry
Symplectic Geometry
url https://arxiv.org/abs/2304.13260