• Corpus ID: 118427746

Topological D-branes from Descent

@article{Bergman2008TopologicalDF,
  title={Topological D-branes from Descent},
  author={Aaron Bergman},
  journal={arXiv: High Energy Physics - Theory},
  year={2008}
}
  • A. Bergman
  • Published 1 August 2008
  • Mathematics
  • arXiv: High Energy Physics - Theory
Witten couples the open topological B-model to a holomorphic vector bundle by adding to the boundary of the worldsheet a Wilson loop for an integrable connection on the bundle. Using the descent procedure for boundary vertex operators in this context, I generalize this construction to write a worldsheet coupling for a graded vector bundle with an integrable superconnection. I then compute the open string vertex operators between two such boundaries. A theorem of J. Block gives that this is… 

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References

SHOWING 1-10 OF 22 REFERENCES

Duality and equivalence of module categories in noncommutative geometry II: Mukai duality for holomorphic noncommutative tori

This is the second in a series of papers intended to set up a framework to study categories of modules in the context of non-commutative geometries. In \cite{mem} we introduced the basic DG category

Principles of Algebraic Geometry

A comprehensive, self-contained treatment presenting general results of the theory. Establishes a geometric intuition and a working facility with specific geometric practices. Emphasizes applications

Mirror Manifolds And Topological Field Theory

These notes are devoted to explaining aspects of the mirror manifold problem that can be naturally understood from the point of view of topological field theory. Basically this involves studying the

Chern-Simons gauge theory as a string theory

Certain two dimensional topological field theories can be interpreted as string theory backgrounds in which the usual decoupling of ghosts and matter does not hold. Like ordinary string models, these

Derived Categories and Zero-Brane Stability

We define a particular class of topological field theories associated to open strings and prove the resulting D-branes and open strings form the bounded derived category of coherent sheaves. This

An introduction to homological algebra

Preface 1. Generalities concerning modules 2. Tensor products and groups of homomorphisms 3. Categories and functors 4. Homology functors 5. Projective and injective modules 6. Derived functors 7.

Superconnections and the Chern character

Methods of Homological Algebra

Considering homological algebra, this text is based on the systematic use of the language and ideas of derived categories and derived functors. Relations with standard cohomology theory are

D-branes, categories and N=1 supersymmetry

We show that boundary conditions in topological open string theory on Calabi–Yau (CY) manifolds are objects in the derived category of coherent sheaves, as foreseen in the homological mirror symmetry

Computation of Superpotentials for D-Branes

We present a general method for the computation of tree-level superpotentials for the world-volume theory of B-type D-branes. This includes quiver gauge theories in the case that the D-brane is