Disk Instantons, Mirror Symmetry and the Duality Web
Abstract
We apply the methods recently developed for computation of type IIA disk instantons using mirror symmetry to a large class of D-branes wrapped over Lagrangian cycles of non-compact Calabi-Yau 3-folds. Along the way we clarify the notion of "flat coordinates" for the boundary theory. We also discover an integer IR ambiguity needed to define the quantum theory of D-branes wrapped over non-compact Lagrangian submanifolds. In the large N dual Chern-Simons theory, this ambiguity is mapped to the UV choice of the framing of the knot. In a type IIB dual description involving (p; q) 5-branes, disk instantons of type IIA get mapped to (p; q) string instantons. The M-theory lift of these results lead to computation of superpotential terms generated by M2 brane instantons wrapped over 3-cycles of certain manifolds of G2 holonomy
- Publication:
-
Zeitschrift Naturforschung Teil A
- Pub Date:
- February 2002
- DOI:
- arXiv:
- arXiv:hep-th/0105045
- Bibcode:
- 2002ZNatA..57....1A
- Keywords:
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- Supersymmetry;
- Open String Theory;
- Topological Theories;
- Mirror Symmetry;
- High Energy Physics - Theory
- E-Print:
- 56 pages 19 figures