A note on topological amplitudes in hybrid string theory

TL;DR

This paper explores topological amplitudes in hybrid string theory compactified on Calabi-Yau spaces, rederiving interactions involving moduli, Weyl-tensor, and tensor field-strength, with detailed formalism analysis.

Contribution

It provides a detailed review and rederivation of chiral and twisted-chiral interactions in the hybrid formalism for Calabi-Yau compactifications.

Findings

Rederived chiral and twisted-chiral interactions involving moduli and curvature tensors

Clarified the formalism and technical aspects of hybrid string compactifications

Enhanced understanding of topological amplitudes in string theory

Abstract

We study four-dimensional compactifications of type II superstrings on Calabi-Yau spaces in the hybrid formalism. Chiral and twisted-chiral interactions are rederived, which involve the coupling of the compactification moduli to two powers of the Weyl-tensor and of the derivative of the universal tensor field-strength. We review the formalism and provide details of some of its technicalities.