Dynamics and integrability property of the chiral string model

TL;DR

This paper investigates a chiral string model with purely right or left moving zero modes, demonstrating its integrability and describing its dynamics via a simple Lagrangian in flat spacetime.

Contribution

It introduces a new integrable chiral string model governed by a straightforward Lagrangian, highlighting its dynamics and integrability properties.

Findings

The model's equations of motion are explicitly integrable in flat spacetime.

The dynamics are governed by a simple Lagrangian characterizing chiral strings.

Zero modes induce a chiral current, affecting string conductivity.

Abstract

The effect of fermionic string conductivity by purely right (or purely left) moving ``zero modes'' is shown to be governed by a simple Lagrangian characterising a certain ``chiral'' (null current carrying) string model whose dynamical equations of motion turn out to be explicitly integrable in a flat spacetime background.