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

Abstract

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 $T^{\ast }{\mathbb{P}}^n$. We then study the corresponding Landau-Ginzburg models in deformation families and give some examples of how the deformations affect the mirrors.

arXiv commentWritten for the proceedings of the MathAmSud cooperation conference

References in corpus (1)

• Intrinsic mirrors for minimal adjoint orbits and categories of singularities