Rotating Toroidal Branes in Supermembrane and Matrix Theory

Abstract

In the lightcone frame, where the supermembrane theory and the Matrix model are strikingly similar, the equations of motion admit an elegant complexification in even dimensional spaces. Although the explicit rotational symmetry of the target space is lost, the remaining unitary symmetries apart from providing a simple and unifying description of all known solutions suggest new ones for rotating spherical and toroidal membranes. In this framework the angular momentum is represented by U(1) charges which balance the nonlinear attractive forces of the membrane. We examine in detail a six dimensional rotating toroidal membrane solution which lives in a 3-torus, $T^3$ and admits stable radial modes. In Matrix Theory it corresponds to a toroidal N-$D_0$ brane bound state. We demonstrate its existence and discuss its radial stability.

7 pages, revtex

References in corpus (6)

• M(atrix) Theory: Matrix Quantum Mechanics as a Fundamental Theory
• Tachyons, Supertubes and Brane/Anti-Brane Systems
• Quadrupole Instabilities of Relativistic Rotating Membranes
• Perturbative world-volume dynamics of the bosonic membrane and string
• Metastability of Spherical Membranes in Supermembrane and Matrix Theory
• Stability of the Rotating Ellipsoidal D0-brane System

Cited by in corpus (11)

• Magnon-Like Dispersion Relation from M-Theory
• Non-perturbative states in type II superstring theory from classical spinning membranes
• Exact rotating membrane solutions on a G_2 manifold and their semiclassical limits
• Stringy Membranes in AdS/CFT
• Kinks in massive non-linear ${\mathbb{S}}^1\times {\mathbb{S}}^1$-Sigma models
• Spinning solutions for the bosonic M2-brane with $C_{\pm }$ fluxes
• Laplace-Beltrami operator and exact solutions for branes
• Strings and D-branes in a supersymmetric magnetic flux background
• Branes as solutions of gauge theories in gravitational field
• On brane symmetries
• Non-Collapsing Membrane Instantons in Higher Dimensions