Fivebranes, membranes and non-perturbative string theory
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/ gs contributions, where gs 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.
- Publication:
-
Nuclear Physics B
- Pub Date:
- February 1995
- DOI:
- 10.1016/0550-3213(95)00487-1
- arXiv:
- arXiv:hep-th/9507158
- Bibcode:
- 1995NuPhB.456..130B
- Keywords:
-
- High Energy Physics - Theory
- E-Print:
- 34 pages, phyzzx (A new section about conifold singularities in hypermultiplet moduli spaces is added)