Hori--Vafa mirror models for complete intersections in weighted projective spaces and weak Landau--Ginzburg models

TL;DR

This paper demonstrates that Hori--Vafa mirror models for smooth Fano complete intersections in weighted projective spaces can be represented as Laurent polynomials, providing a new perspective on their structure.

Contribution

It establishes an interpretation of Hori--Vafa mirror models as Laurent polynomials for certain Fano varieties, advancing mirror symmetry understanding.

Findings

Hori--Vafa models can be expressed as Laurent polynomials

Provides new insights into mirror symmetry for weighted projective spaces

Enhances the mathematical framework for Fano complete intersections

Abstract

We prove that Hori--Vafa mirror models for smooth Fano complete intersections in weighted projective spaces admit an interpretation as Laurent polynomials.