Fivebranes, Membranes and Non-Perturbative String Theory
arXiv:hep-th/9507158 · doi:10.1016/0550-3213(95)00487-1
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 contributions, where 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 Kähler 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.
34 pages, phyzzx (A new section about conifold singularities in hypermultiplet moduli spaces is added)
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- A Landscape of AdS Flux Vacua
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- BPS mass spectrum from D-brane action
- Instantons and Wormholes for the Universal Hypermultiplet
- Sub-MeV Bosonic Dark Matter, Misalignment Mechanism and Galactic Dark Matter Halo Luminosities
- Four-dimensional SYM probes in wrapped M5-brane backgrounds
- What if string theory has a de Sitter excited state?
- The Geometry of M-Branes Wrapping Special Lagrangian Cycles
- Five dimensional 2-branes and the universal hypermultiplet
- The Dynamics of Small Instanton Phase Transitions
- Axion-like particle dark matter in the linear regime of structure formation
- Generalised Calibrations in AdS backgrounds from Exceptional Sasaki-Einstein Structures
- Cosmic Microwave Background Dipole Asymmetry could be explained by Axion Monodromy Cosmic Strings
- Mirror symmetry aspects for compact G_2 manifolds
- Landau-Ginzburg Description of D-branes on ALE Spaces
- Supersymmetric branes and instantons on curved spaces
- Twisted products and -invariant special Lagrangian cones
- Kappa symmetry, generalized calibrations and spinorial geometry
- Stable and Metastable Cosmic Strings in Heterotic M-Theory
- A 3d topological sigma model and D-branes
- Aspects of Supersymmetry in Multiple Membrane Theories
- BPS Configuration of Supermembrane With Winding in M-direction
- Superpotentials, quantum parameter space and phase transitions in N=1 supersymmetric gauge theories
- A mathematical theory of D-string world-sheet instantons, I: Compactness of the stack of -semistable Fourier-Mukai transforms from a compact family of nodal curves to a projective Calabi-Yau 3-fold
- Classical worldvolumes as generalised geodesics
- D-brane Analyses for BPS Mass Spectra and U-duality
- Supersymmetry of Noncompact MQCD-like Membrane Instantons and Heat Kernel Asymptotics
- MQCD, ('Barely') G_2 Manifolds and (Orientifold of) a Compact Calabi-Yau
- Membrane solitons in eight-dimensional hyper-Kaehler backgrounds
- Holographic flavor in the gauge/gravity duality
- Disk Amplitudes in Topological A-Model on Calabi-Yau Spaces and Fano Manifolds
- Fermion Exchange between D-instantons
- Flux Stabilization of D-branes in a non-threshold bound state background
- M-Theory and Two-Dimensional Effective Dynamics
- M-Theory Versus F-Theory Pictures of the Heterotic String
- The moduli space of hyper-K{ä}hler four-fold compactifications
- A Brane Teaser
- Supersymmetric Branes in Generic M-Theory Attractor Geometries
- Wrapped brane gas as a candidate for Dark Matter
- Half-flat Quantum Hair
- On extremal transitions of Calabi-Yau threefolds and the singularity of the associated 7-space from rolling
- Brane Solutions in Time Dependent Backgrounds in D = 11 Supergravity and in Type II String Theories
- Membrane Instantons from Toda Field Theory
- Discrete Torsion in Singular G_2-Manifolds and Real LG
- Holographic duality and applications
- Effects in Gauge Theories and a Harmonic Function on
- Review of SU(2)-Calibrations
- On supermembrane actions on Calabi-Yau 3-folds
- Higher Derivative Corrections to the Abelian Born-Infeld Action using Superspace Methods
- D0-branes in flux 5-brane backgrounds
- One-loop and D-instanton corrections to the effective action of open string models
- Probe D-branes in Superconformal Field Theories
- Black Holes and D-branes
- Swampland conjectures for type IIB orientifolds with closed-string U(1)s
- Yang-Mills instantons on 7-dimensional manifold of G_2 holonomy
- The four-dimensional null energy condition as a swampland conjecture
- Special Lagrangian Geometry in irreducible symplectic 4-folds
- D-branes and synthetic/-algebraic symplectic/calibrated geometry, I: Lemma on a finite algebraicness property of smooth maps from Azumaya/matrix manifolds
- D-instantons and Dualities in String Theory
- The target space geometry of N=(2,1) string theory
- Notes on unoriented D-brane instantons
- On topological M-theory
- Strings from Membranes and Fivebranes
- Geometry As Seen By String Theory
- Axions/Axion like particles and the CMB asymmetric dipole
- Localized Kaluza-Klein 6-brane
- Quantum TBA for refined BPS indices
- Calabi-Yau compactification of type II string theories
- M-Theory Phenomenology and See-Saw Mechanisms