Complete Lagrangian formulation for N=4 topological string

TL;DR

This paper presents a complete Lagrangian formulation for the N=4 topological string, highlighting its local symmetries and Lorentz invariance, aiming to improve the understanding of N=2 string scattering amplitudes.

Contribution

It provides a comprehensive Lagrangian and symmetry analysis for the N=4 topological string, enhancing the theoretical framework for string scattering calculations.

Findings

Derived all local symmetries of the N=4 topological string

Established manifest Lorentz invariance in the model

Proposed a framework for N=2 string scattering amplitudes

Abstract

We give a Lagrangian and display all local symmetries for N=4 topological string by Berkovits, Vafa and Siegel, the latter previously known in the superconformal gauge. Leading to a small N=4 superconformal algebra and exhibiting the manifest Lorentz invariance the model is proposed to be a framework for restoring the manifest Lorentz invariance in N=2 string scattering amplitudes.