A quantum McKay correspondence for fractional 2p-branes on LG orbifolds
arXiv:hep-th/0504164 · doi:10.1088/1126-6708/2005/08/050
Abstract
We study fractional 2p-branes and their intersection numbers in non-compact orbifolds as well the continuation of these objects in Kahler moduli space to coherent sheaves in the corresponding smooth non-compact Calabi-Yau manifolds. We show that the restriction of these objects to compact Calabi-Yau hypersurfaces gives the new fractional branes in LG orbifolds constructed by Ashok et. al. in hep-th/0401135. We thus demonstrate the equivalence of the B-type branes corresponding to linear boundary conditions in LG orbifolds, originally constructed in hep-th/9907131, to a subset of those constructed in LG orbifolds using boundary fermions and matrix factorization of the world-sheet superpotential. The relationship between the coherent sheaves corresponding to the fractional two-branes leads to a generalization of the McKay correspondence that we call the quantum McKay correspondence due to a close parallel with the construction of branes on non-supersymmetric orbifolds. We also provide evidence that the boundary states associated to these branes in a conformal field theory description corresponds to a sub-class of the boundary states associated to the permutation branes in the Gepner model associated with the LG orbifold.
LaTeX2e, 1+39 pages, 3 figures (v2) refs added, typos and report no. corrected
References in corpus (31)
- Phases of Theories In Two Dimensions
- Fractional Branes and Boundary States in Orbifold Theories
- Self-Duality, Ramond-Ramond Fields, and K-Theory
- D-branes in Gepner models
- N=2 Gauge theories on systems of fractional D3/D7 branes
- D-branes on the Quintic
- D-Branes in Landau-Ginzburg Models and Algebraic Geometry
- Systematic approach to cyclic orbifolds
- Phases of Supersymmetric D-branes on Kaehler Manifolds and the McKay correspondence
- F-term equations near Gepner points
- Permutation Branes
- Worldsheet approaches to D-branes on supersymmetric cycles
- Fractional D-branes and their gauge duals
- D-branes in Topological Minimal Models: the Landau-Ginzburg Approach
- D-branes, Exceptional Sheaves and Quivers on Calabi-Yau manifolds: From Mukai to McKay
- D-branes from Matrix Factorizations
- Dirichlet Branes on Orbifolds
- On the Landau-Ginzburg description of Boundary CFTs and special Lagrangian submanifolds
- D-branes on Calabi-Yau Manifolds and Superpotentials
- Orbifold boundary states from Cardy's condition
- D-branes on Calabi-Yau manifolds and helices
- Localized Tachyons and the Quantum McKay Correspondence
- On D-branes from Gauged Linear Sigma Models
- Boundary Fermions, Coherent Sheaves and D-branes on Calabi-Yau manifolds
- D-Branes on Noncompact Calabi-Yau Manifolds: K-Theory and Monodromy
- Localized tachyons in C^3/Z_N
- N=2 Superconformal boundary states for free bosons and fermions
- On tachyons, gauged linear sigma models, and flip transitions
- Holomorphic Tachyons and Fractional D-branes
- On Localized Tachyon Condensation in $\BC^2/\BZ_n$ and $\BC^3/\BZ_n$
- Fractional Branes on a Non-compact Orbifold
Cited by in corpus (12)
- D-brane superpotentials and RG flows on the quintic
- Permutation branes and linear matrix factorisations
- B-type defects in Landau-Ginzburg models
- Tachyon Condensation on the Elliptic Curve
- Effective superpotentials for B-branes in Landau-Ginzburg models
- Matrix factorisations and D-branes on K3
- D-branes in Toroidal Orbifolds and Mirror Symmetry
- Closed string tachyons, flips and conifolds
- A family of SCFTs hosting all "very attractive" relatives of the (2)^4 Gepner model
- Fractional two-branes, toric orbifolds and the quantum McKay correspondence
- Permutation Orientifolds
- Fractional Branes in Non-compact Type IIA Orientifolds