D-branes on Stringy Calabi-Yau Manifolds
arXiv:hep-th/0006224
Abstract
We argue that D-branes corresponding to rational B boundary states in a Gepner model can be understood as fractional branes in the Landau-Ginzburg orbifold phase of the linear sigma model description. Combining this idea with the generalized McKay correspondence allows us to identify these states with coherent sheaves, and to calculate their K-theory classes in the large volume limit, without needing to invoke mirror symmetry. We check this identification against the mirror symmetry results for the example of the Calabi-Yau hypersurface in $\WP^{1,1,2,2,2}$.
33 pages
References in corpus (20)
- Phases of Theories In Two Dimensions
- D-Branes And K-Theory
- D-branes, Quivers, and ALE Instantons
- D-Branes And Mirror Symmetry
- Mirror Symmetry for Two Parameter Models -- II
- Summing the Instantons: Quantum Cohomology and Mirror Symmetry in Toric Varieties
- Orbifold Resolution by D-Branes
- The spectrum of BPS branes on a noncompact Calabi-Yau
- Aspects of Type IIB Theory on ALE Spaces
- Fractional Branes and Boundary States in Orbifold Theories
- La correspondance de McKay
- Enhanced Gauge Symmetries in Superstring Theories
- D3-branes on partial resolutions of abelian quotient singularities of Calabi-Yau threefolds
- Supersymmetry in Boundary Integrable Models
- Worldsheet approaches to D-branes on supersymmetric cycles
- McKay correspondence
- D-branes on some one- and two-parameter Calabi-Yau hypersurfaces
- D-Branes on K3-Fibrations
- On the Landau-Ginzburg description of Boundary CFTs and special Lagrangian submanifolds
- Resolutions of Orbifold Singularities and Flows on the McKay Quiver
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- D-branes, Exceptional Sheaves and Quivers on Calabi-Yau manifolds: From Mukai to McKay
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- D-branes in Singular Calabi-Yau n-fold and N=2 Liouville Theory
- Azumaya-type noncommutative spaces and morphisms therefrom: Polchinski's D-branes in string theory from Grothendieck's viewpoint
- B-branes and supersymmetric quivers in 2d
- Brane Probes, Toric Geometry, and Closed String Tachyons
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- A new kind of McKay correspondence from non-Abelian gauge theories
- D-Brane Monodromies, Derived Categories and Boundary Linear Sigma Models
- D-branes and Azumaya noncommutative geometry: From Polchinski to Grothendieck
- Lectures on D-branes, Gauge Theories and Calabi-Yau Singularities
- D-branes and Azumaya/matrix noncommutative differential geometry, I: D-branes as fundamental objects in string theory and differentiable maps from Azumaya/matrix manifolds with a fundamental module to real manifolds
- BRST construction of D-branes in SU(2) WZW model
- Free-Field Approach to D-Branes in Gepner Models
- Tensor Product and Permutation Branes on the Torus
- Non-perturbative Gauge Groups and Local Mirror Symmetry
- An analytic torsion for graded D-branes
- (Fractional) Intersection Numbers, Tadpoles and Anomalies
- A Geometrical Construction of Rational Boundary States in Linear Sigma Models
- D-branes and Vector Bundles on Calabi-Yau Manifolds: a view from the Helix
- Fractional two-branes, toric orbifolds and the quantum McKay correspondence
- Landau-Ginzburg Description of D-branes on ALE Spaces
- Consistency of Orbifold Conformal Field Theories on K3
- D-branes in Nonabelian Orbifolds with Discrete Torsion