We consider a class of special Lagrangian subspaces of Calabi-Yau manifolds and identify their mirrors, using the recent derivation of mirror symmetry, as certain holomorphic varieties of the mirrorâ€¦ (More)

We construct a cubic field theory which provides all genus amplitudes of the topological A-model for all non-compact toric Calabi-Yau threefolds. The topology of a given Feynman diagram encodes theâ€¦ (More)

The first part of this paper presents actions for Dirichlet p-branes embedded in a flat 10-dimensional space-time. The fields of the (p + 1)-dimensional worldvolume theories are the 10d space-timeâ€¦ (More)

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-Yauâ€¦ (More)

a Department of Physics, University of Washington at Seattle Seattle, WA 98195-1560, USA b Institute for Theoretical Physics & Korteweg-de Vries Institute for Mathematics University of Amsterdam,â€¦ (More)

We count the number of bound states of BPS black holes on local Calabi-Yau threefolds involving a Riemann surface of genus g. We show that the corresponding gauge theory on the brane reduces to aâ€¦ (More)

We formulate world-volume actions that describe the dynamics of Dirichlet pbranes in a flat 10d background. The fields in these theories consist of the 10d superspace coordinates (X, Î¸) and anâ€¦ (More)

The B-model topological string theory on a Calabi-Yau threefold X has a symmetry group Î“, generated by monodromies of the periods ofX . This acts on the topological string wave function in a naturalâ€¦ (More)

Using mirror symmetry, we show that Chern-Simons theory on certain manifolds such as lens spaces reduces to a novel class of Hermitian matrix models, where the measure is that of unitary matrixâ€¦ (More)

We consider orientifolds of Calabi-Yau 3-folds in the context of Type IIA and Type IIB superstrings. We show how mirror symmetry can be used to sum up worldsheet instanton contributions to theâ€¦ (More)