Euclidean solutions in Einstein-Yang-Mills-dilaton theory

TL;DR

This paper proposes the existence of novel Euclidean solutions in Einstein-Yang-Mills-dilaton theory in four dimensions, which are nonselfdual, carry nonabelian charges, and serve as new saddle points in the Euclidean path integral.

Contribution

It introduces a new class of nonselfdual Euclidean solutions with nonabelian charges in Einstein-Yang-Mills-dilaton theory, not present in Lorentzian spacetime.

Findings

Existence of nonselfdual Euclidean solutions with nonabelian charges.

These solutions are absent in Lorentzian counterparts.

They act as new saddle points in the Euclidean path integral.

Abstract

We present arguments for the existence of a new type of solutions of the Euclidean Einstein-Yang-Mills-dilaton theory in $d=4$ dimensions. Possesing nonvanishing nonabelian charges, these nonselfdual configurations have no counterparts on the Lorentzian section. They provide, however, new saddle points in the Euclidean path integral.