# D-Branes in Topological String Theory

@article{Knapp2007DBranesIT, title={D-Branes in Topological String Theory}, author={Johanna Knapp}, journal={arXiv: High Energy Physics - Theory}, year={2007} }

This thesis is concerned with D-branes in topological string theory, focusing on the description of B-type D-branes in topological Landau-Ginzburg models. Such D-branes are characterized by matrix factorizations of the Landau-Ginzburg superpotential. After reviewing some aspects of topological string theory we give a detailed discussion of matrix factorizations. We discuss methods to calculate the effective superpotential in minimal models, putting emphasis on an algorithm to calculate the…

## 12 Citations

### Landau-Ginzburg String Backgrounds with Orientifolds and D-branes

- Physics
- 2008

String backgrounds are usually described by superconformal field theories on the worldsheet. For a subset of these backgrounds an alternative description exists in terms of N = 2 supersymmetric…

### Deformation Theory of Matrix Factorizations and F-Terms in the Boundary Changing Sector

- Mathematics
- 2009

We extend the deformation theory algorithm of matrix factorizations to systems with more than one D–brane. The obstructions to the deformations are F–term equations which can be integrated to an…

### Mirror symmetry, toric branes and topological string amplitudes as polynomials

- Mathematics
- 2009

The central theme of this thesis is the extension and application of mirror symmetry of topological string theory. Mirror symmetry is an equivalence between the topological string A-model on a…

### BRANE SUPERPOTENTIAL AND LOCAL CALABI–YAU MANIFOLDS

- Mathematics
- 2008

We briefly report on some recent progresses in the computation of B-brane superpotentials for Type II strings compactified on Calabi–Yau manifolds, obtained by using a paramatrization of tubular…

### Mirror symmetry for toric branes on compact hypersurfaces

- Mathematics
- 2009

We use toric geometry to study open string mirror symmetry on compact Calabi-Yau manifolds. For a mirror pair of toric branes on a mirror pair of toric hypersurfaces we derive a canonical…

### Hemisphere Partition Function and Analytic Continuation to the Conifold Point

- Mathematics
- 2016

We show that the hemisphere partition function for certain U(1) gauged linear sigma models (GLSMs) with D-branes is related to a particular set of Mellin-Barnes integrals which can be used for…

### Matrix Factorizations, Massey Products and F-Terms for Two-Parameter Calabi-Yau Hypersurfaces

- Mathematics
- 2008

We discuss B–type tensor product branes in mirrors of two–parameter Calabi–Yau hypersurfaces, using the language of matrix factorizations. We determine the open string moduli of the branes at the…

### Contributions à l'étude du vertex topologique en théorie des cordes

- Mathematics
- 2009

Using Γ±(z) vertex operators of the c= 1 two-dimensional conformal field theory, we give a 2d-quantum field theoretical derivation of the conjectured d-dimensional MacMahon function Gd(q). We…

### Defect perturbations in Landau-Ginzburg models

- Mathematics
- 2010

Perturbations of B-type defects in Landau-Ginzburg models are considered. In particular, the effect of perturbations of defects on their fusion is analyzed in the framework of matrix factorizations.…

## References

SHOWING 1-10 OF 131 REFERENCES

### D-branes in topological minimal models: the Landau-Ginzburg approach

- Mathematics
- 2004

We study D-branes in topologically twisted N = 2 minimal models using the Landau-Ginzburg realization. In the cases of A and D-type minimal models we provide what we believe is an exhaustive list of…

### D-branes in toroidal orbifolds and mirror symmetry

- Mathematics
- 2006

We study D-branes extended in T2/4 using the mirror description as a tensor product of minimal models. We describe branes in the mirror both as boundary states in minimal models and as matrix…

### Topological D-Branes and Commutative Algebra

- Mathematics
- 2007

We show that questions concerning the topological B-model on a Calabi–Yau manifold in the Landau–Ginzburg phase can be rephrased in the language of commutative algebra. This yields interesting and…

### D-brane effective action and tachyon condensation in topological minimal models

- Mathematics
- 2004

We study D-brane moduli spaces and tachyon condensation in B-type topological minimal models and their massive deformations. We show that any B-type brane is isomorphic with a direct sum of ‘minimal’…

### D-brane categories for orientifolds—the Landau-Ginzburg case

- Mathematics
- 2008

We construct and classify categories of D-branes in orientifolds based on Landau-Ginzburg models and their orbifolds. Consistency of the worldsheet parity action on the matrix factorizations plays…

### Effective superpotentials for B-branes in Landau-Ginzburg models

- Physics
- 2006

We compute the partition function for the topological Landau-Ginzburg B-model on the disk. This is done by treating the worldsheet superpotential perturbatively. We argue that this partition function…

### D branes in Landau-Ginzburg models and algebraic geometry

- Mathematics
- 2003

We study topological D-branes of type B in N = 2 Landau-Ginzburg models, focusing on the case where all vacua have a mass gap. In general, tree-level topological string theory in the presence of…

### Fractional Branes in Landau-Ginzburg Orbifolds

- Mathematics
- 2004

We construct fractional branes in Landau-Ginzburg orbifold categories and study their behavior under marginal closed string perturbations. This approach is shown to be more general than the rational…