Ramond-Ramond Field Radiation from Rotating Ellipsoidal Membranes

TL;DR

This paper presents a new stable rotating ellipsoidal membrane solution in D0-brane matrix mechanics, analyzing its radiation emission and stability, with implications for understanding D-brane bound states and their classical dynamics.

Contribution

It introduces a novel stable rotating membrane solution interpreted as a D2/D0 brane bound state, with detailed analysis of its radiation and stability properties.

Findings

Computed RR 1-form quadrupole radiation

Calculated RR 3-form dipole radiation

Demonstrated classical stability against perturbations

Abstract

We find a new stable rotator solution in D0-brane matrix mechanics. The solution is interpreted as a D2/D0 brane bound state, constructed as a transversely rotating ellipsoidal membrane with N D0-branes pinned over it. From the membrane point of view the attractive force of tension is exactly cancelled by the repulsive centrifugal force. Dynamical properties of the system are investigated, in particular the emission of spherical waves in the different massless sectors of supergravity. We compute the RR 1-form quadrupole, the RR 3-form dipole and the gravitational quadrupole radiation. Also, we show that our non-singular classical solution is stable against small perturbations in the initial conditions. Furthermore, we comment on a possible fundamental particle interpretation of our system.