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Lorentz-invariant membranes and finite matrix approximations · Around

2011

Lorentz-invariant membranes and finite matrix approximations

Hoppe, Jens, Trzetrzelewski, Maciej

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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.

Built on

J. Hoppe, Quantum theory of a massless relativistic surface and a two-dimensional bound state problem
1982
Earlier work this paper cites.
M. Bordemann, E. Meinrenken, M. Schlichenmaier, Toeplitz quantization of Kähler manifolds and g l ( N ) gl(N) , N → ∞ N\to\infty limits
1994
Earlier work this paper cites.

Similar

J. Hoppe, S. T. Yau, Some Properties of Matrix Harmonics on S 2 S^{2}
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1998
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J. Hoppe, Fundamental structures of M(brane) theory
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J. Goldstone, unpublished
Cited in the paper.
J. Arnlind, J. Hoppe, G. Huisken, Discrete Curvature and the Gauss-Bonnet Theorem
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Then

J. Hoppe, Matrix Models and Lorentz Invariance
Original
2011
Closest in time.

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