GL(1) Charged States in Twistor String Theory

TL;DR

This paper investigates GL(1) charged operators in twistor string theory, demonstrating their BRST-invariance, non-trivial correlators, and their potential role in non-perturbative soliton dynamics within conformal supergravity.

Contribution

It introduces and analyzes the properties of GL(1) charged operators, showing their non-trivial contributions to non-MHV correlators and proposing their link to solitonic solutions.

Findings

GL(1) charged operators are BRST-invariant and non-trivial.

These operators contribute to non-MHV correlators in instanton backgrounds.

Their non-conservation relates to anomalies in the Kac-Moody current algebra.

Abstract

We discuss the appearance of the GL(1) charged physical operators in the twistor string theory. These operators are shown to be BRST-invariant and non-trivial, and some of their correlators and conformal beta-functions are computed. Remarkably, the non-conservation of the GL(1)-charge in interactions involving these operators is related to the anomalous term in the Kac-Moody current algebra. While these operators play no role in the maximum helicity violating (MHV) amplitudes of Yang-Mills theory, they are shown to contribute non-trivially to non-MHV correlators in the worldsheet instanton backgrounds. We argue that these operators describe the non-perturbative dynamics of solitons in conformal supergravity. However, the exact form of such solitonic solutions is yet to be determined.