Modified pure spinors and mirror symmetry
arXiv:hep-th/0412086 · doi:10.1016/j.nuclphysb.2005.10.029
Abstract
It has been argued recently that mirror symmetry exchanges two pure spinors characterizing a generic manifold with SU(3)-structure. We show how pure spinors are modified in the presence of topological D-branes, so that they are still exchanged by mirror symmetry. This exchange emerges from the fact that the modified pure spinors come out as moment maps for the symmetries of A and B-models. The modification by the gauge field is argued to ensure the inclusion into the mirror exchange of the A-model non-Lagrangian branes endowed with a non-flat connection. Treating the connection as a distribution on an ambient six-manifold, assumed to be T^3-fibered, the proposed mirror formula is established by fiberwise T-duality.
13 pages, LaTeX
References in corpus (19)
- Mirror Symmetry is T-Duality
- Superstrings and Topological Strings at Large N
- D-Branes on Calabi-Yau Spaces and Their Mirrors
- New Supersymmetric String Compactifications
- Nonlinear Instantons from Supersymmetric p-Branes
- Supersymmetric Backgrounds from Generalized Calabi-Yau Manifolds
- Mirror Symmetry in Generalized Calabi-Yau Compactifications
- Remarks on A-branes, Mirror Symmetry, and the Fukaya category
- Topological strings on noncommutative manifolds
- Mirror symmetric SU(3)-structure manifolds with NS fluxes
- SO(d,d) Transformations of Ramond-Ramond Fields and Space-time Spinors
- Extending Mirror Conjecture to Calabi-Yau with Bundles
- Mirror Symmetry and Generalized Complex Manifolds
- Stability Conditions For Topological D-branes: A Worldsheet Approach
- D-brane Couplings, RR Fields and Clifford Multiplication
- Moment maps, monodromy and mirror manifolds
- Variations on stability
- Note on mirror symmetry and coisotropic D-branes on tori
- Quantum Mechanical Mirror Symmetry, D Branes, and B Fields
Cited by in corpus (18)
- Generalised Geometry for M-Theory
- Generalized structures of N=1 vacua
- M-theory, exceptional generalised geometry and superpotentials
- A scan for new N=1 vacua on twisted tori
- SU(3) x SU(3) compactification and mirror duals of magnetic fluxes
- D-branes on general N=1 backgrounds: superpotentials and D-terms
- Lectures on Nongeometric Flux Compactifications
- Deformations of calibrated D-branes in flux generalized complex manifolds
- The Hitchin functionals and the topological B-model at one loop
- T-duality with H-flux: non-commutativity, T-folds and G x G structure
- Coisotropic D8-branes and Model-building
- Metastable Quivers in String Compactifications
- Towards mirror symmetry à la SYZ for generalized Calabi-Yau manifolds
- Matrix Factorizations, D-Branes and their Deformations
- Geometric Transitions on non-Kaehler Manifolds
- Tachyon condensation and D-branes in generalized geometries
- Three Dimensional Topological Field Theory induced from Generalized Complex Structure
- D-branes, actions effectives et symétrie miroir