Newman-Penrose dyads and the null string motion equations in a background of antisymmetric fields

TL;DR

This paper applies the Newman-Penrose dyad formalism to analyze tensionless null string dynamics in Minkowski spacetime with antisymmetric background fields, identifying conditions for exact solutions and non-interaction.

Contribution

It introduces a special class of antisymmetric fields allowing exact null string solutions and establishes conditions for null string non-interaction with these fields.

Findings

Identified a class of antisymmetric fields with exact null string solutions

Formulated a condition for null string non-interaction with certain fields

Provided a formalism for describing tensionless string dynamics in complex backgrounds

Abstract

An application of the Newman-Penrose dyad formalism for description of tensionless (null) string dynamics in 4D Minkowski spacetime is studied in a background of antisymmetric fields. We present a special class of background antisymmetric fields which admits exact solutions of the null string motion equations and formulate a sufficient condition of the absence of interaction of a null string with such fields.