A Comparison of Landau-Ginzburg Models for Odd Dimensional Quadrics

Abstract

In [Rie08], the second author dened a Landau-Ginzburg model for homogeneous spaces G=P , as a regular function on an ane subvariety of the Langlands dual group. In this paper, we reformulate this LG model in the case of the odd-dimensional quadric Q2m 1 as a regular function Wt on the complement X of a particular anticanonical divisor in the projective space P 2m = P(H (Q2m 1;C) ). In fact, we express Wt in