Complex scalar field in strictly stationary Einstein-Maxwell-axion-dilaton spacetime with negative cosmological constant

TL;DR

This paper proves that in a specific class of Einstein-Maxwell-axion-dilaton spacetimes with negative cosmological constant, complex scalar fields cannot have nontrivial configurations, even with multiple gauge fields present.

Contribution

It establishes a no-go theorem for complex scalar fields in strictly stationary Einstein-Maxwell-axion-dilaton spacetimes with negative cosmological constant, extending to multiple U(1) gauge fields.

Findings

Complex scalar fields must be trivial in the considered spacetime.

The proof applies to arbitrary numbers of U(1) gauge fields.

The result constrains possible field configurations in such theories.

Abstract

We proved that strictly stationary Einstein-Maxwell-axion-dilaton spacetime with negative cosmological constant could not support a nontrivial configuration of complex scalar fields. We considered the general case of the arbitrary number of U(1) gauge fields in the theory under consideration.