Gravitating M(atrix) Q-Balls

TL;DR

This paper constructs Q-ball configurations in M(atrix) theory representing oscillating membranes, analyzes their gravitational collapse into black holes, and compares spacetime geometry with supergravity predictions, including heterotic extensions.

Contribution

It introduces new Q-ball solutions in M(atrix) theory for membranes and extends them to heterotic cases, linking membrane dynamics to black hole formation.

Findings

Q-ball configurations match supergravity long-distance potentials

Membrane Q-balls can form charged black holes upon collapse

Heterotic M(atrix) theory Q-balls include twisted sector membranes

Abstract

Q-ball configuration that represents oscillating or spinning closed membrane is constructed via M(atrix) theory. Upon gravitational collapse Q-balls are expected to form Schwarzschild black holes. For quasi-static spherical membrane, we probe spacetime geometry induced by monopole moment via D0-parton scattering off the Q-ball. We find a complete agreement with long distance potential calculated using eleven-dimensional supergravity. Generalizing to heterotic M(atrix) theory, we also construct Q-ball configurations of real projective and disk membranes. The latter Q-ball configuration arises as twisted sector of heterotic M(atrix) theory, hence, are expected to form a charged black hole after gravitational collapse.