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Evidence for F theory
Abstract We construct compact examples of D-manifolds for type IIB strings. The construction has a natural interpretation in terms of compactification of a 12-dimensional `F-theory'. We provideExpand
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Mirror Symmetry
• Space translation. If I have some apparatus, and move it to a different place it will work the same. The laws governing its behavior are the same under space translation. • Time translation. TheExpand
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Kodaira-Spencer theory of gravity and exact results for quantum string amplitudes
We develop techniques to compute higher loop string amplitudes for twistedN=2 theories withĉ=3 (i.e. the critical case). An important ingredient is the discovery of an anomaly at every genus inExpand
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A Strong coupling test of S duality
Abstract By studying the partition function of N =4 topologically twisted supersymmetric Yang-Mills on four-manifolds, we make an exact strong coupling test of the Montonen-Olive strong-weak dualityExpand
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Microscopic origin of the Bekenstein-Hawking entropy
Abstract The Bekenstein-Hawking area-entropy relation S BH = A 4 is derived for a class of five-dimensional extremal black holes in string theory by counting the degeneracy of BPS solition boundExpand
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Knot Invariants and Topological Strings
We find further evidence for the conjecture relating large N Chern-Simons theory on S^3 with topological string on the resolved conifold geometry by showing that the Wilson loop observable of aExpand
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The String landscape, black holes and gravity as the weakest force
We conjecture a general upper bound on the strength of gravity relative to gauge forces in quantum gravity. This implies, in particular, that in a four-dimensional theory with gravity and a U(1)Expand
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M theory and topological strings. 2.
The $R^2 F^{2g-2}$ terms of Type IIA strings on Calabi-Yau 3-folds, which are given by the corresponding topological string amplitudes (a worldsheet instanton sum for all genera), are shown to have aExpand
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The Topological Vertex
We construct a cubic field theory which provides all genus amplitudes of the topological A-model for all non-compact toric Calabi-Yau threefolds. The topology of a given Feynman diagram encodes theExpand
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CFT's from Calabi–Yau four-folds
We consider F/M/Type IIA theory compactified to four, three, or two dimensions on a Calabi–Yau four-fold, and study the behavior near an isolated singularity in the presence of appropriate fluxes andExpand
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