On the Stability of Compactified D=11 Supermembranes

Details On the Stability of Compactified D=11 Supermembranes On the Stability of Compactified D=11 Supermembranes

1997-06-12

arxiv.org/abs/hep-th/9706090v2

Nucl.Phys. B521 (1998) 117-128

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, latex. Added comments in conclusions and more references

Scientific paper

10.1016/S0550-3213(98)00204-1

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.

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