The String Measure and Spectral Flow of Critical N=2 Strings

TL;DR

This paper explores the structure of N=2 string theory moduli space, calculates the string measure, and analyzes the spectral flow operator's impact on amplitudes, providing new insights into the mathematical framework of N=2 strings.

Contribution

It introduces an explicit formula for the spectral flow operator and examines its influence on N=2 string amplitudes, advancing the understanding of N=2 string theory's mathematical structure.

Findings

Derived the N=2 NSR string measure with ghost insertions

Provided an explicit spectral flow operator formula

Discussed the operator's effect on string amplitudes

Abstract

The general structure of N=2 moduli space at arbitrary genus and instanton number is investigated. The N=2 NSR string measure is calculated, yielding picture- and U(1) ghost number-changing operator insertions. An explicit formula for the spectral flow operator acting on vertex operators is given, and its effect on N=2 string amplitudes is discussed.