Hybrid Superstrings on Singular Calabi-Yau Fourfolds

TL;DR

This paper investigates hybrid superstring theories on singular Calabi-Yau fourfolds, revealing incompatibilities with original topological algebras and proposing a modified model consistent with space-time superconformal symmetry.

Contribution

It introduces a new model with modified topological superconformal generators that aligns with space-time N=2 superconformal symmetry in singular Calabi-Yau compactifications.

Findings

Original topological algebra incompatible with space-time symmetry

Proposed modified superconformal generators

Consistent model for singular Calabi-Yau fourfolds

Abstract

Two-dimensional hybrid superstring on singular Calabi-Yau manifolds is studied by the field redefinition of the NSR formalism. The compactification on singular Calabi-Yau fourfold is described by N=2 super-Liouville theory and N=2 Landau-Ginzburg models. We examine the world-sheet topological N=4 superconformal algebra, which is useful to identify physical states of the theory. It is shown that the space-time superconformal symmetry is not compatible with this original topological algebra. A new model is proposed by modifying the topological superconformal generators, which is consistent with space-time N=2 superconformal symmetry.