Tree and Loop Amplitudes in Open Twistor String Theory

TL;DR

This paper computes one-loop gluon amplitudes in open twistor string theory, exploring classical solutions, quantization, and deriving N-point functions, advancing understanding of quantum effects in this model.

Contribution

It introduces a method to compute one-loop gluon amplitudes in open twistor string theory using symmetric vertex operators and analyzes classical solutions and current algebra.

Findings

Derived general one-loop expression for gluon amplitudes

Calculated N-point functions for tree and one-loop amplitudes

Discussed classical solutions in various topologies

Abstract

We compute the one-loop gluon amplitude for the open twistor string model of Berkovits, using a symmetric form of the vertex operators. We discuss the classical solutions in various topologies and instanton sectors and the canonical quantization of the world sheet Lagrangian. We derive the N-point functions for the gluon tree and one-loop amplitudes, and calculate a general one-loop expression for the current algebra.