Kramer--Neugebauer Transformation for Einstein--Maxwell--Dilaton--Axion Theory

TL;DR

This paper develops a Kramer--Neugebauer--like transformation for the stationary axisymmetric Einstein--Maxwell--dilaton--axion system, enabling direct mapping between dualized and nondualized sigma-model equations, and introduces a new matrix representation.

Contribution

It introduces a novel transformation and a matrix representation for the Einstein--Maxwell--dilaton--axion system, advancing solution techniques for this class of theories.

Findings

Transformation maps dualized to nondualized equations

New 4x4 matrix representation of the problem

Facilitates solution generation in Einstein--Maxwell--dilaton--axion theory

Abstract

The Kramer--Neugebauer--like transformation is constructed for the stationary axisymmetric D=4 Einstein--Maxwell--dilaton--axion system. This transformation directly maps the dualized sigma--model equations of the theory into the nondualized ones. Also the new chiral $4 \times 4$ matrix representation of the problem is presented.