D2-brane probes of non-toric cDV threefolds are described by N=2 deformations of 3d N=4 affine Dynkin quivers using polynomial and monopole superpotentials, with 3d mirror symmetry reproducing the known quiver-collapsing mechanism.
Mirror Symmetry, D-Branes and Counting Holomorphic Discs
3 Pith papers cite this work. Polarity classification is still indexing.
3
Pith papers citing it
abstract
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 mirror geometry. This transforms the counting of holomorphic disc instantons ending on the Lagrangian submanifold to the classical Abel-Jacobi map on the mirror. We recover some results already anticipated as well as obtain some highly non-trivial new predictions.
citation-role summary
background 1
citation-polarity summary
verdicts
UNVERDICTED 3roles
background 1polarities
background 1representative citing papers
Establishes equality between augmentation varieties and disk potential zero sets for Legendrian covers of monotone tori in circle-fibered contact manifolds, with applications to non-isotopy and non-fillability.
Extends operator formalism of closed topological strings to derive all-order trans-series solutions for real topological strings, with disk invariants as Stokes constants and numerical checks on local P2.
citing papers explorer
-
D2-brane probes of non-toric cDV threefolds via monopole superpotentials
D2-brane probes of non-toric cDV threefolds are described by N=2 deformations of 3d N=4 affine Dynkin quivers using polynomial and monopole superpotentials, with 3d mirror symmetry reproducing the known quiver-collapsing mechanism.
-
Augmentation varieties and disk potentials III
Establishes equality between augmentation varieties and disk potential zero sets for Legendrian covers of monotone tori in circle-fibered contact manifolds, with applications to non-isotopy and non-fillability.
-
Non-Perturbative Real Topological Strings
Extends operator formalism of closed topological strings to derive all-order trans-series solutions for real topological strings, with disk invariants as Stokes constants and numerical checks on local P2.