Restoring Lorentz Invariance in Classical N=2 String

TL;DR

This paper demonstrates how the N=4 topological formalism restores Lorentz invariance in classical N=2 string theory and establishes classical equivalence between different formulations.

Contribution

It introduces an N=4 topological action that restores Lorentz invariance and proves the classical equivalence of the N=2 and N=4 formulations.

Findings

Lorentz invariance is restored in the N=4 topological action.

Classical equivalence between N=2 and N=4 theories is demonstrated.

An explicit action for the N=4 topological string is constructed.

Abstract

We study classical N=2 string within the framework of the N=4 topological formalism by Berkovits and Vafa. Special emphasis is put on the demonstration of a classical equivalence of the theories and the construction of an action for the N=4 topological string. The SO(2,2) Lorentz invariance missing in the conventional Brink--Schwarz action for the N=2 string is restored in the N=4 topological action.