On a Matrix Model of Level Structure

Abstract

We generalize the dimensionally reduced Yang-Mills matrix model by adding d=1 Chern-Simons term and terms for a bosonic vector. The coefficient, κof the Chern-Simons term must be integer, and hence the level structure. We show at the bottom of the Yang-Mills potential, the low energy limit, only the linear motion is allowed for D0 particles. Namely all the particles align themselves on a single straight line subject to κ^2/r^2 repulsive potential from each other. We argue the relevant brane configuration to be D0-branes in a D4 after κof D8's pass the system.

1+6 pages, No figure, LaTeX; Minor changes; To appear in Class. Quant. Grav

References in corpus (5)

• M(atrix) Theory: Matrix Quantum Mechanics as a Fundamental Theory
• The Quantum Hall Fluid and Non-Commutative Chern Simons Theory
• On Level Quantization for the Noncommutative Chern-Simons Theory
• Chern-Simons Theories on Noncommutative Plane
• Realizing the Quantum Hall System in String Theory

Cited by in corpus (11)

• Thermodynamic instability and first-order phase transition in an ideal Bose gas
• 5D action for longitudinal five branes on a pp-wave
• Jain States in a Matrix Theory of the Quantum Hall Effect
• 3D N=2 massive super Yang-Mills and membranes/D2-branes in a curved background
• Description of identical particles via gauged matrix models : a generalization of the Calogero-Sutherland system
• Superconformal Yang-Mills quantum mechanics and Calogero model with OSp(N|2,R) symmetry
• Tales of D0 on D6 Branes: Matrix Mechanics of Identical Particles
• Edge excitations of the Chern Simons matrix theory for the FQHE
• Noncritical osp(1|2,R) M-theory matrix model with an arbitrary time dependent cosmological constant
• Matrix Effective Theories of the Fractional Quantum Hall effect
• Solitons in a Grassmannian sigma-model Coupled to Chern-Simons Term