SU(5) heterotic Standard Model bundles

Andreas, Bjorn; Hoffmann, Norbert

doi:10.1007/jhep04(2012)027

Cited by 2 publications

(3 citation statements)

References 26 publications

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“…The nonsplit conditions for rank 2 and rank 4 are given by r = 2 : xc 2 + (8x 3 − x)c One class of solutions to (11) and (12) is obtained for x < 0 and α effective. As we assume that h 1,1 (X) > 1 we can always solve D · H 2 = 0.…”

Section: Examples and Application To String Theorymentioning

confidence: 99%

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New Examples of Stable Bundles on Calabi–Yau Three-Folds

Andreas¹,

Hoffmann²

2012

International Mathematics Research Notices

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Abstract. In this paper we present a construction of stable bundles on Calabi-Yau threefolds using the method of bundle extensions. This construction applies to any given Calabi-Yau threefold with h 1,1 > 1. We give examples of stable bundles of rank 2 and 4 constructed out of pure geometric data of the given Calabi-Yau space. As an application, we find that some of these bundles satisfy the physical constraint imposed by heterotic string anomaly cancellation.

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Section: Examples and Application To String Theorymentioning

confidence: 99%

“…As an application, we show that some of these bundles give solutions to the basic second Chern class constraint which is imposed by the heterotic string anomaly equation. A further application will be discussed in a physical companion paper [11].…”

Section: Introductionmentioning

confidence: 99%

New Examples of Stable Bundles on Calabi–Yau Three-Folds

Andreas¹,

Hoffmann²

2012

International Mathematics Research Notices

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“…The vector bundles on elliptically fibered Calabi-Yau can be constructed by means of spectral cover construction, see for example [17,18]. In some cases, freely acting involutions in elliptically fibered Calabi-Yau threefolds with two sections, were also proposed, see for example [19,20,21] and references therein.…”

Section: Introductionmentioning

confidence: 99%

Heterotic String Compactification and New Vector Bundles

Lin

Yau

2016

Commun. Math. Phys.

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We propose a construction of Kähler and non-Kähler Calabi-Yau manifolds by branched double covers of twistor spaces. In this construction we use the twistor spaces of four-manifolds with self-dual conformal structures, with the examples of connected sum of n P 2 s. We also construct K3-fibered Calabi-Yau manifolds from the branched double covers of the blow-ups of the twistor spaces. These manifolds can be used in heterotic string compactifications to four dimensions. We also construct stable and polystable vector bundles. Some classes of these vector bundles can give rise to supersymmetric grand unified models with three generations of quarks and leptons in four dimensions.

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SU(5) heterotic Standard Model bundles

Abstract: We construct a class of stable SU (

Cited by 2 publications

References 26 publications

New Examples of Stable Bundles on Calabi–Yau Three-Folds

New Examples of Stable Bundles on Calabi–Yau Three-Folds

Heterotic String Compactification and New Vector Bundles

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