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Fivebranes, Membranes and Non-Perturbative String Theory

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arxiv hep-th/9507158 v3 pith:JLKSDTRU submitted 1995-07-28 hep-th

Katrin Becker , Melanie Becker , Andrew Strominger This is my paper · ORCID
classification hep-th
keywords spacesupersymmetrictheorycalabi-yaustringcyclesfivebranesmembranes
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

Non-perturbative instanton corrections to the moduli space geometry of type IIA string theory compactified on a Calabi-Yau space are derived and found to contain order $e^{-1/g_s}$ contributions, where $g_s$ is the string coupling. The computation reduces to a weighted sum of supersymmetric extremal maps of strings, membranes and fivebranes into the Calabi-Yau space, all three of which enter on equal footing. It is shown that a supersymmetric 3-cycle is one for which the pullback of the K\"ahler form vanishes and the pullback of the holomorphic three-form is a constant multiple of the volume element. Quantum mirror symmetry relates the sum in the IIA theory over supersymmetric, odd-dimensional cycles in the Calabi-Yau space to a sum in the IIB theory over supersymmetric, even-dimensional cycles in the mirror.

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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. 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...

  2. Special Lagrangian submanifolds and circle collapse on K3

    math.DG 2026-06 unverdicted novelty 5.0 of 10

    Constructs degenerating special Lagrangian two-spheres and tori in collapsing K3 surfaces that lift from affine lines on a three-dimensional base, including connections between Taub-NUT bubbles.

  3. Wheeler-De Witt equation and the Canonical Construction of the Glauber-Sudarshan States in Quantum Gravity

    hep-th 2024-11 reject novelty 4.0 of 10

    Backreaction of Glauber-Sudarshan states is claimed to convert a supersymmetric Minkowski vacuum into a transient de Sitter phase, with a positive cosmological constant emerging from Borel resummation.

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