Matrix description of D-branes on 3-spheres

TL;DR

This paper introduces a matrix model for D0-branes on a 3-sphere that incorporates quantum group symmetries, capturing finite-radius effects and reproducing known properties at large scales.

Contribution

It presents a novel matrix model for D-branes on S^3 using quantum group symmetries, extending beyond traditional models for finite sphere radius.

Findings

Model captures finite-radius effects of S^3

Reproduces known static properties at large k

Provides results beyond ordinary matrix models

Abstract

We discuss a matrix model for D0-branes on S^3 \times M^7 based on quantum group symmetries. For finite radius of S^3 (i.e. for finite k), it gives results beyond the reach of the ordinary matrix model. For large k all known static properties of branes on S^3 are reproduced.