Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 9 of 9 for “"Calabi-Yau manifold"”.
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Deformation theory of Cayley submanifolds
Cayley submanifolds are naturally arising volume minimising submanifolds of $Spin(7)$- manifolds. In the special case that the ambient manifold is a four-dimensional Calabi--Yau manifold, a Cayley submanifold might be a complex surface, a special Lagrangian submanifold or neither. In this thesis, …
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Transport of muonic atoms
… a candidate for a realistic four generation Calabi-Yau manifold by dividing an algebraic variety in CP₄ x CP₄ with the Z₂ x Z₂ symmetry. A nontrivial embedding of Z₂ x Z₂ in E(6) allows the physically interesting intermediate symmetry, based on Pati-Salam SU(2)<sub>L</sub> x SU(2)<sub>R</sub> …
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Calibrations and minimal Lagrangian submanifolds
… be concerned with the geometry of minimal submanifolds in certain Riemannian manifolds which possess some special geometric structure. Those Riemannian manifolds will fall into one of the following categories: 1) A Riemannian manifold M with a calibrating k-form n7. We will derive some …
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Extending the Geometric Tools of Heterotic String Compactification and Dualities
… general vector bundles on elliptically fibered Calabi-Yau geometries. In particular, we consider the case in which the Calabi-Yau fibration is not in Weierstrass form but can rather contain fibral divisors or multiple sections (i.e., a higher rank Mordell-Weil group). In these cases, general …
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Heterotic Braneworld Gravity
… eleven dimensions have been compactified on a Calabi-Yau manifold. The solution consists of two parallel three-branes separated by the 11th dimension with a scalar field in the bulk. In this dissertation we review some of the alternative theories of gravity, including the Kaluza-Klein model as …
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A Study on Heterotic Target Space Duality – Bundle Stability/Holomorphy, F-theory and LG Spectra
… we consider TSD theories on elliptically fibered Calabi-Yau manifolds. In this context, each half of the "dual" heterotic theories must in turn have an F-theory dual. Moreover, the apparent relationship between two heterotic compactifications seen in (0,2) heterotic target space dual pairs should, …
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Kaluza-Klein Reduction of Pure Gravity and its Implications for K3 Surface Compactifications
… into string theory, where the compactification manifold of choice is a Calabi-Yau manifold. In this dissertation, we investigate reduction via the Kaluza-Klein mechanism by considering the general compactification from D to d (D > d) dimensions of pure gravity, wherein the internal metric moduli …
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D-branes on Calabi-Yau Spaces
In this thesis the properties of D-branes on Calabi–Yau spaces are investigated. Compactifications of type II string theories on these spaces to which D-branes are added lead to N = 1 supersymmetric gauge theories on the world-volume of these D-branes. Both the Calabi–Yau spaces and the D-branes …
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Applications of Numerical Methods in Heterotic Calabi-Yau Compactification
… to several different problems in heterotic Calabi-Yau compactification. We review algorithms for computing both the Ricci-flat metric on Calabi-Yau manifolds and Hermitian Yang-Mills connections on poly-stable holomorphic vector bundles over those spaces. We apply the numerical techniques …