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Superpotentials and Membrane Instantons

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arxiv hep-th/9907026 v1 pith:LTKJQ3ZM submitted 1999-07-06 hep-th

J. A. Harvey , G. Moore This is my paper · ORCID
classification hep-th
keywords compactificationsmembraneinstantonsm-theorymanifoldsmembranessuperpotentialsupersymmetric
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We investigate nonperturbative effects in M-theory compactifications arising from wrapped membranes. In particular, we show that in $d=4, \mathcal{N}=1$ compactifications along manifolds of $G_2$ holonomy, membranes wrapped on rigid supersymmetric 3-cycles induce nonzero corrections to the superpotential. Thus, membrane instantons destabilize many M-theory compactifications. Our computation shows that the low energy description of membrane physics is usefully described in terms of three-dimensional topological field theories, and the superpotential is expressed in terms of topological invariants of the 3-cycle. We discuss briefly some applications of these results. For example, using mirror symmetry we derive a counting formula for supersymmetric three-cycles in certain Calabi-Yau manifolds.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. An M-theory dS maximum from Casimir energies on Riemann-flat manifolds

    hep-th 2025-07 unverdicted novelty 7.0 of 10

    Explicit scale-separated dS5 maximum in M-theory on a 6D Riemann-flat manifold with vacuum energy 10^{-8} in Planck units, obtained via Casimir energies and fluxes.

  2. Warped G$_2$-throats in IIA and uplift dSillusions

    hep-th 2025-05 conditional novelty 6.0 of 10

    Anti-D2 brane uplifting of classical AdS3 vacua in IIA on G2 orientifolds is forbidden by O6 tadpole constraints, so dS3 must rely on quantum corrections to no-scale Minkowski vacua.

  3. Membrane instantons and non-perturbative effects in $\mathrm{AdS}_{4}/\mathrm{CFT}_{3}$

    hep-th 2026-06 unverdicted novelty 5.0 of 10

    Establishes equivalence of BPS conditions for M2-branes to associativity in G2-structures and computes one-loop partition functions via transversely elliptic complexes for invariant cycles in Sasaki-Einstein manifolds...

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