Tachyon Condensation on the Elliptic Curve
arXiv:hep-th/0512208 · doi:10.1016/j.nuclphysb.2006.12.009
Abstract
We use the framework of matrix factorizations to study topological B-type D-branes on the cubic curve. Specifically, we elucidate how the brane RR charges are encoded in the matrix factors, by analyzing their structure in terms of sections of vector bundles in conjunction with equivariant R-symmetry. One particular advantage of matrix factorizations is that explicit moduli dependence is built in, thus giving us full control over the open-string moduli space. It allows one to study phenomena like discontinuous jumps of the cohomology over the moduli space, as well as formation of bound states at threshold. One interesting aspect is that certain gauge symmetries inherent to the matrix formulation lead to a non-trivial global structure of the moduli space. We also investigate topological tachyon condensation, which enables us to construct, in a systematic fashion, higher-dimensional matrix factorizations out of smaller ones; this amounts to obtaining branes with higher RR charges as composites of ones with minimal charges. As an application, we explicitly construct all rank-two matrix factorizations.
69p, 6 figs, harvmac; v2: minor changes
References in corpus (32)
- Tachyon Condensation on the Brane Antibrane System
- Triangulated categories of singularities and D-branes in Landau-Ginzburg models
- Dyon - Monopole Bound States, Self-Dual Harmonic Forms on the Multi-Monopole Moduli Space, and SL(2,Z) Invariance in String Theory
- Derived Categories of Coherent Sheaves and Triangulated Categories of Singularities
- The spectrum of BPS branes on a noncompact Calabi-Yau
- D-branes, Categories and N=1 Supersymmetry
- D-branes in Gepner models
- D-branes on the Quintic
- D-Branes in Landau-Ginzburg Models and Algebraic Geometry
- Derived Categories and Zero-Brane Stability
- Seiberg Duality for Quiver Gauge Theories
- Supersymmetry in Boundary Integrable Models
- F-term equations near Gepner points
- On the boundary coupling of topological Landau-Ginzburg models
- Worldsheet approaches to D-branes on supersymmetric cycles
- Localization and traces in open-closed topological Landau-Ginzburg models
- D-branes in Topological Minimal Models: the Landau-Ginzburg Approach
- D-branes from Matrix Factorizations
- Matrix factorisations and permutation branes
- Matrix Factorizations And Mirror Symmetry: The Cubic Curve
- Stability of Landau-Ginzburg branes
- Brane/anti-Brane Systems and U(N|M) Supergroup
- Generalized complexes and string field theory
- D-brane categories
- D-brane effective action and tachyon condensation in topological minimal models
- The matrix factorisations of the D-model
- Boundary Fermions, Coherent Sheaves and D-branes on Calabi-Yau manifolds
- Boundary RG Flows of N=2 Minimal Models
- Linear Sigma Models for Open Strings
- A quantum McKay correspondence for fractional 2p-branes on LG orbifolds
- D-branes in Toroidal Orbifolds and Mirror Symmetry
- Maximal Cohen-Macaulay Modules over the Affine Cone of the Simple Node
Cited by in corpus (20)
- D-brane superpotentials and RG flows on the quintic
- B-type defects in Landau-Ginzburg models
- Matrix Factorizations and Kauffman Homology
- Effective superpotentials for B-branes in Landau-Ginzburg models
- Matrix Factorizations, D-Branes and their Deformations
- Moduli Webs and Superpotentials for Five-Branes
- D-brane Categories for Orientifolds -- The Landau-Ginzburg Case
- Instanton Geometry and Quantum A-infinity structure on the Elliptic Curve
- D-Branes in Topological String Theory
- Matrix factorisations for rational boundary conditions by defect fusion
- Matrix Factorizations and Homological Mirror Symmetry on the Torus
- Triangle-generation in topological D-brane categories
- D-branes and matrix factorisations in supersymmetric coset models
- Orientifolds and D-branes in N=2 gauged linear sigma models
- Non-Factorizable Branes on the Torus
- B-type D-branes in hybrid models
- Towards Mirror Symmetry with Semi-Realistic Intersecting Brane Configurations
- Defects and D-Brane Monodromies
- Matrix Factorizations for Local F-Theory Models
- Matrix Factorizations For Non-Abelian Orbifolds