The Calabi-Yau Threefold
Extremal Bundles on Calabi-Yau Threefolds
... From physics considerations, these plots are also very natural. They give a ‘corre- lation’ of the Green-Schwarz anomaly carried by the stable vector bundles to that of the generation number of the underlying ...
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Extremal Bundles on Calabi-Yau Threefolds
... From physics considerations, these plots are also very natural. They give a ‘corre- lation’ of the Green-Schwarz anomaly carried by the stable vector bundles to that of the generation number of the underlying ...
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New large volume Calabi-Yau threefolds
... The organization of the paper is as follows. In Sec. II, we outline the conditions for the possible existence of a large volume solution in the language of toric geometry. This allows us to set our notation and ...
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Calabi-Yau Geometries: Algorithms, Databases, and Physics
... of Calabi-Yau threefold geometries, both the compact and the non-compact cases, and have witnessed that over the intervening years since the 1990’s, the “bestiary” of Calabi-Yau ...
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CiteSeerX — CFT’s from Calabi-Yau Four-folds
... Viewing them as instantons, their boundaries would be five- and one-dimensional respec- tively. So if L has no non-trivial compact five- or one-dimensional cycles, then there are no instantons, and quantum corrections do ...
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TRILINEAR FORMS AND CHERN CLASSES OF CALABI YAU THREEFOLDS
... for Calabi–Yau threefolds X, the second Chern class c 2 (X) and the K¨ ahler cone K X turn out to encode important information about µ (see [14, 16] for ...the Calabi–Yau structure affects the ...
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CiteSeerX — Superconformal field theory on threebranes at a Calabi-Yau singularity
... This point of view also helps in identifying which symmetries will be R-symmetries of the superconformal field theory. For example, to identify the R symmetries of string theory on AdS 5 × X 5 we work on a ...
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Necessary conditions on Calabi-Yau manifolds for large volume vacua
... the Calabi–Yau threefold landscape is richly populated by Swiss Cheese ...a Calabi–Yau threefold than those considered here if it is to give rise to a phenomenologically ...
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Lectures on D-branes, gauge theories and Calabi-Yau singularities
... The draw-back, or rather, the boon - for a myriad of rich phenomena germinates - is the obvious fact that the only smooth local Calabi-Yau threefold is C 3 . We are thus inevitably lead to the study ...
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Mirror symmetry, Tyurin degenerations and fibrations on Calabi-Yau manifolds
... a Calabi-Yau threefold that under- goes a Tyurin degeneration (satisfying certain technical conditions), then mirror symmetry predicts the existence of a K3 fibration on the mirror threefold W ...
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A Calabi-Yau Database: Threefolds Constructed from the Kreuzer-Skarke List
... a Calabi–Yau threefold starting from an element of the dataset of ...of Calabi–Yau threefolds that we have derived from the Kreuzer–Skarke ...
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Traintracks through Calabi-Yau Manifolds: Scattering Amplitudes beyond Elliptic Polylogarithms
... Conclusions. — We have defined a class of “ traintrack ” integrals (1) that increase in complexity with increasing loop order, from dilogarithms at one loop to elliptic behavior at two loops to a K3 at three loops and a ...
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Calabi-Yau threefolds fibred by Kummer surfaces associated to products of elliptic curves
... Some Calabi-Yau threefolds fibred by Kummer surfaces In the remainder of this paper, we will illustrate how these methods can be used to construct explicit examples of Calabi-Yau ...a ...
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Polynomial Roots and Calabi-Yau Geometries
... Subsequently, we can study the ensemble of real turning (critical) points of these planar curves. Again, we resort to “actual data” and focus on the most well-known affine toric threefold geometries - as shown in ...
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Gorenstein formats, canonical and Calabi Yau threefolds
... corresponding coefficients of P X . For canonical threefold, the coefficients of t and t 2 are enough. 4.1.3. Step iv : Polytopes and knapsack kernels Next, we match the possible P orb contributions arising from ...
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Calabi–Yau threefolds and moduli of abelian surfaces I
... The map Y 10 is birational onto its image. Since both spaces are three dimensional, we obtain the following result: THEOREM 7.1. A lev 10 is birationally equivalent to P 3 ÿ =Z 2 Z 2 . & Remark 7.2. The quotient P 3 ÿ =Z ...
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Wilson lines and Chern-Simons flux in explicit heterotic Calabi-Yau compactifications
... JHEP02(2015)183 4.2 The three generation split-bicubic quotient We now turn to a potentially realistic compactification, based on a quotient of the split- bicubic CY threefold [55, 56]. After introducing the CICY ...
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Patterns in Calabi-Yau Distributions
... F-theory compactifications on threefolds, resulting in six dimensional gauge theo- ries have been considered from the point of view of systematically classifying the base complex surfaces [44] and the statistics have ...
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1. CALABI-YAU MANIFOLDS
... 2.1. Few words about string theory String theory is a project for the Grand Unification of all interactions in Nature. The total Feynman integral is taken over the space of maps from all surfaces to the tar- get ...
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Quantum periods of Calabi–Yau fourfolds
... the Calabi–Yau fourfold — yields the number of indepen- dent genus zero Gromov–Witten invariants with a single marked point at each ...for Calabi–Yau fourfolds with a single Kähler modulus ...
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