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On the Stability of Compactified D=11 Supermembranes
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abstract
We prove D=11 supermembrane theories wrapping around in an irreducible way over $S^{1} \times S^{1}\times M^{9}$ on the target manifold, have a hamiltonian with strict minima and without infinite dimensional valleys at the minima for the bosonic sector. The minima occur at monopole connections of an associated U(1) bundle over topologically non trivial Riemann surfaces of arbitrary genus. Explicit expressions for the minimal connections in terms of membrane maps are presented. The minimal maps and corresponding connections satisfy the BPS condition with half SUSY.
Forward citations
Cited by 2 Pith papers
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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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M2-branes, Higher Form Symmetries and 1-Gerbes
A torsion gerbe on the M2-brane worldvolume cancels a mixed higher-form anomaly, breaking U(1) symmetries to discrete subgroups and imposing a worldvolume flux condition.
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