Open Topological String Amplitudes and BPS Invariants on Complete Intersection Calabi-Yau Threefolds

TL;DR

This paper solves extended holomorphic anomaly equations for open topological strings on complete intersection Calabi-Yau threefolds, deriving partition functions and BPS invariants through direct integration, including unoriented contributions.

Contribution

It provides explicit solutions to the extended holomorphic anomaly equations for open strings on complete intersection Calabi-Yau threefolds, advancing the understanding of BPS invariants.

Findings

Partition functions computed for several genus and boundary cases.

Annulus functions encode genus one BPS invariants.

Extended holomorphic anomaly equations are explicitly solved.

Abstract

Open topological string partition function on compact Calabi-Yau threefolds satisfies the extended holomorphic anomaly equation. By direct integration, we solve these equations and obtain partition functions for first several genus and boundaries on complete intersection Calabi-Yau threefolds. Complemented by the unoriented worldsheet contribution, the annulus functions encode the genus one BPS invariants.