Lorentz-invariant membranes and finite matrix approximations

Abstract

The question of Lorentz invariance for finite N approximations of relativistic membranes is addressed. We find that one of the classical manifestations of Lorentz-invariance is not possible for NxN matrices (at least when N=2 or 3). How the symmetry is restored in the large N limit is studied numerically.

11 pages, 1 figure

References in corpus (5)

• Toeplitz Quantization of Kähler Manifolds and $gl(N)$ $N\to \infty$
• Membranes and Matrix Models
• Fundamental Structures of M(brane) Theory
• Discrete curvature and the Gauss-Bonnet theorem
• Matrix Models and Lorentz Invariance

Cited by in corpus (7)

• Membranes from monopole operators in ABJM theory: large angular momentum and M-theoretic AdS_4/CFT_3
• Dirac equation for membranes
• A dynamical symmetry for supermembranes
• Matrix regularization of embedded 4-manifolds
• Dirac membrane and hadrons
• Representation spaces for the membrane matrix model
• On the quantization of some polynomial minimal surfaces