An elliptic topological vertex

TL;DR

This paper introduces a one-parameter deformation of the refined topological vertex, enabling the computation of six-dimensional topological string partition functions for non-periodic web diagrams, aligning with results from periodic diagrams.

Contribution

It presents a novel one-parameter deformation of the refined topological vertex for non-periodic web diagrams, extending existing computational methods.

Findings

Reproduces six-dimensional topological string partition functions.

Aligns non-periodic and periodic web diagram computations.

Provides a new tool for topological string calculations.

Abstract

We derive a one-parameter deformation of the refined topological vertex that, when used to compute non-periodic web diagrams, reproduces the six-dimensional topological string partition functions that are computed using the refined vertex and periodic web diagrams.