Gauge Symmetries and Amplitudes in N=2 Strings

TL;DR

This paper explores gauge symmetries and their algebra in N=2 strings with (2,2) signature, deriving Ward identities that influence multi-loop amplitudes, thus advancing understanding of string interactions in this context.

Contribution

It introduces a gauge symmetry algebra in N=2 strings with (2,2) signature and analyzes its impact on scattering amplitudes through Ward identities.

Findings

Derived gauge symmetry algebra in N=2 strings with (2,2) signature

Established Ward identities for multi-loop amplitudes

Analyzed implications for three and four point functions

Abstract

Picture changed operators are discussed in $N=2$ strings with space-time signature $(2,2)$. A gauge symmetry algebra is derived in a background of torus space-time $T^{2,2}$ and its simple representation on the picture changed operators is given. Simple Ward identities associated with the gauge algebra and their consequences for three and four point amplitudes of arbitrary loops are also discussed.