A Conformal Field Theory of a Rotating Dyon

TL;DR

This paper constructs a conformal field theory describing a rotating dyon solution in heterotic string theory, revealing unique near-horizon properties and extending the model with an additional parameter whose full significance remains uncertain.

Contribution

It presents a novel CFT model for a four-dimensional heterotic string dyon with rotation and charges, including an extremal limit and a generalized version with an extra parameter.

Findings

The solution exhibits a vanishing angular momentum asymptotically but retains non-zero angular velocity near the horizon.

The low-energy limit includes non-trivial axion and dilaton fields, along with mass, NUT, and rotation parameters.

A generalized CFT with an additional parameter is proposed, though its physical interpretation is unclear.

Abstract

A conformal field theory representing a four-dimensional classical solution of heterotic string theory is presented. The low-energy limit of this solution has U(1) electric and magnetic charges, and also nontrivial axion and dilaton fields. The low-energy metric contains mass, NUT and rotation parameters. We demonstrate that this solution corresponds to part of an extremal limit of the Kerr-Taub-NUT dyon solution. This limit displays interesting `remnant' behaviour, in that asymptotically far away from the dyon the angular momentum vanishes, but far down the infinite throat in the neighbourhood of the horizon (described by our CFT) there is a non-zero angular velocity. A further natural generalization of the CFT to include an additional parameter is presented, but the full physical interpretation of its role in the resulting low energy solution is unclear.