Self-dual solutions of Yang-Mills theory on Euclidean AdS space

TL;DR

This paper discovers non-trivial, time-dependent self-dual Yang-Mills solutions in Euclidean AdS space, revealing that unlike flat space, the action varies with moduli and the charge is not restricted to integers.

Contribution

It introduces explicit self-dual Yang-Mills solutions in Euclidean AdS space with moduli-dependent action and non-integer charges, expanding understanding beyond flat space solutions.

Findings

Solutions are time-dependent and non-trivial.

Action depends on moduli parameters.

Charge can be any non-integer value.

Abstract

We find non-trivial, time-dependent solutions of the (anti) self-dual Yang-Mills equations in the four dimensional Euclidean Anti-de Sitter space. In contrast to the Euclidean flat space, the action depends on the moduli parameters and the charge can take any non-integer value.