# Stable vector bundles and string theory

## Related Articles

- Calabiâ€“Yau compactifications and the global structure of the standard group. McInnes, Brett // Journal of Mathematical Physics;Jan1996, Vol. 37 Issue 1, p493
The "standard group" of elementary particle theory is locally isomorphic to SU(3) Ã— SU(2)Ã—U(1). The global structure is completely fixed in unified theories, often in a subtle way; and such theories can be physically unacceptable if they predict the "wrong" global structure for the...

- Dynamical topology change in M theory. Greene, Brian R.; Schalm, Koenraad; Shiu, Gary // Journal of Mathematical Physics;Jul2001, Vol. 42 Issue 7
We study the topology change in M theory compactifications on Calabi-Yau three-folds in the presence of G flux (the four form field strength). In particular, we discuss vacuum solutions in strongly coupled heterotic string theory in which the topology change is inevitable within a single...

- Aspects of Collapsing Cycles. Greene, Brian R. // International Journal of Modern Physics A: Particles & Fields; G;2/20/2001, Vol. 16 Issue 5, p767
Much has been learned about string theory over the last few years by studying properties of cycles and branes in a given background geometry. Here we discuss three situations (quantum volume, attractor flows/D-brane stability, and dynamical topology change) in which cycles in a Calabi-Yau...

- Solutions of the Strominger System via Stable Bundles on Calabi-Yau Threefolds. Andreas, Björn; Garcia-Fernandez, Mario // Communications in Mathematical Physics;Oct2012, Vol. 315 Issue 1, p153
We prove that a given Calabi-Yau threefold with a stable holomorphic vector bundle can be perturbed to a solution of the Strominger system provided that the second Chern class of the vector bundle is equal to the second Chern class of the tangent bundle. If the Calabi-Yau threefold has strict...

- D-branes, categories and N=1 supersymmetry. Douglas, Michael R. // Journal of Mathematical Physics;Jul2001, Vol. 42 Issue 7
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 proposal of Kontsevich. Together with conformal field theory considerations, this leads to a...

- Discrete Wilson Lines in F-Theory. Braun, Volker // Advances in High Energy Physics;2011, p1
F-theory models are constructed where the 7-brane has a nontrivial fundamental group. The base manifolds used are a toric Fano variety and a smooth toric threefold coming from a reflexive polyhedron. The discriminant locus of the elliptically fibered Calabi-Yau fourfold can be chosen such that...

- The Expanding Zoo of Calabi-Yau Threefolds. Davies, Rhys // Advances in High Energy Physics;2011, p1
This is a short review of recent constructions of new Calabi-Yau threefolds with small Hodge numbers and/or nontrivial fundamental group, which are of particular interest formodel building in the context of heterotic string theory. The two main tools are topological transitions and taking...

- MAXIMAL UNIPOTENT MONODROMY FOR COMPLETE INTERSECTION CY MANIFOLDS. Lian, Bong H.; Todorov, Andrey; Shing-Tung Yau // American Journal of Mathematics;Feb2005, Vol. 127 Issue 1, p1
The computations that are suggested by String Theory in the B model requires the existence of degenerations of CY manifolds with maximum unipotent monodromy. In String Theory such a point in the moduli space is called a large radius limit (or large complex structure limit). In this paper we are...

- EFFECTS OF OPEN STRING MODULI ON RACETRACK INFLATION. Wen, Wen-Yu // Modern Physics Letters A;6/28/2008, Vol. 23 Issue 17-20, p1589
In this note, we refine the racetrack inflation model constructed in Ref. 3 by including the open string modulus. This modulus encodes the embedding of our braneworld inside some Calabi-Yau throat. We argue that in generic this open string modulus dynamically runs with the inflaton field thanks...