Wess–Zumino coupling of the compactified M2-brane forces its monopole 0-form and winding 1-form symmetries into a 2-group whose Postnikov class is the mixed quantized flux.
Discreteness of the spectrum of the compactified D=11 supermembrane with non-trivial winding
2 Pith papers cite this work, alongside 45 external citations. Polarity classification is still indexing.
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abstract
We analyze the Hamiltonian of the compactified D=11 supermembrane with non-trivial central charge in terms of the matrix model constructed recently by some of the authors. Our main result provides a rigorous proof that the quantum Hamiltonian of the supersymmetric model has compact resolvent and thus its spectrum consists of a discrete set of eigenvalues with finite multiplicity.
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hep-th 2years
2026 2representative citing papers
In the semiclassical approximation the eigenvalues of the SU(N) matrix model Hamiltonian converge one-to-one to the eigenvalues of the continuum supermembrane Hamiltonian with central charge as N approaches infinity.
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2-Group global symmetry in the compactified M2-brane
Wess–Zumino coupling of the compactified M2-brane forces its monopole 0-form and winding 1-form symmetries into a 2-group whose Postnikov class is the mixed quantized flux.
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On the large N convergence of matrix models
In the semiclassical approximation the eigenvalues of the SU(N) matrix model Hamiltonian converge one-to-one to the eigenvalues of the continuum supermembrane Hamiltonian with central charge as N approaches infinity.