Quantum recovery of target-space Lorentz symmetry in the supermembrane/matrix model
Demonstrate at the quantum level that target-space Lorentz symmetry is recovered in the N → ∞ limit of the maximally supersymmetric SU(N) matrix quantum mechanics (the matrix regularization of the D = 11 supermembrane) by constructing the quantum Lorentz generators and proving their algebra and invariance properties.
References
Subsequently it was shown that the supermembrane Hamiltonian, unlike the bosonic membrane Hamiltonian, has a continuous spectrum 75, and, following unpublished work of J. Goldstone, target space Lorentz symmetry generators can be defined for the supersymmetric theory [77] such that classical Lorentz symmetry, which is broken for finite N, is recovered in the N → ∞ limit (the corresponding quantum calculation remains a wide open challenge).