Gepner-like models and Landau-Ginzburg/sigma-model correspondence

TL;DR

This paper explores Gepner-like models of k^K-type, calculating their elliptic genus and Euler characteristic, and relates them to sigma-models on hypersurfaces in projective space using free-field representation.

Contribution

It establishes a connection between Gepner-like models and sigma-models on hypersurfaces, providing explicit calculations of elliptic genus and Euler characteristic.

Findings

Calculated elliptic genus and Euler characteristic for specific models.

Related Gepner-like models to sigma-models on hypersurfaces.

Used free-field representation to establish the correspondence.

Abstract

The Gepner-like models of $k^{K}$-type is considered. When $k+2$ is multiple of $K$ the elliptic genus and the Euler characteristic is calculated. Using free-field representation we relate these models with $\sigma$-models on hypersurfaces in the total space of anticanonical bundle over the projective space $\mathbb{P}^{K-1}$.