On Cardy states in the (2,2,2,2) Gepner model

TL;DR

This paper analyzes Cardy states in the (2,2,2,2) Gepner model, providing a comprehensive list of primaries, their characters, and the effects of fixed point resolution, with algebraic and geometric insights.

Contribution

It offers a detailed classification of Cardy states in the (2,2,2,2) Gepner model, including fixed point resolution and geometric interpretation.

Findings

Complete list of primaries and characters

Analysis of fixed point resolution effects

Partial geometric realization in $T^4/Z_4$

Abstract

We study Cardy states in the (2,2,2,2) Gepner model from the algebraic and geometric sides. We present the full list of primaries of this model together with their characters. The effects of fixed point resolution are analyzed. Annulus partition function between various Cardy states are calculated. Using the equivalent description in terms of $T^4/Z_4$ the corresponding geometrical realization is partially found.