Universal Calabi-Yau Algebra: Classification and Enumeration of Fibrations

We apply a universal normal Calabi-Yau algebra to the construction and classification of compact complex $n$-dimensional spaces with SU(n) holonomy and their fibrations. This algebraic approach includes natural extensions of reflexive weight vectors to higher dimensions and a `dual' constructio...

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Detalles Bibliográficos
Autores principales: Anselmo, F., Ellis, John R., Nanopoulos, Dimitri V., Volkov, G.
Lenguaje:eng
Publicado: 2002
Materias:
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1142/S0217732303009769
http://cds.cern.ch/record/598445
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author Anselmo, F.
Ellis, John R.
Nanopoulos, Dimitri V.
Volkov, G.
author_facet Anselmo, F.
Ellis, John R.
Nanopoulos, Dimitri V.
Volkov, G.
author_sort Anselmo, F.
collection CERN
description We apply a universal normal Calabi-Yau algebra to the construction and classification of compact complex $n$-dimensional spaces with SU(n) holonomy and their fibrations. This algebraic approach includes natural extensions of reflexive weight vectors to higher dimensions and a `dual' construction based on the Diophantine decomposition of invariant monomials. The latter provides recurrence formulae for the numbers of fibrations of Calabi-Yau spaces in arbitrary dimensions, which we exhibit explicitly for some Weierstrass and K3 examples.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2002
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spelling cern-5984452023-03-14T17:05:39Zdoi:10.1142/S0217732303009769http://cds.cern.ch/record/598445engAnselmo, F.Ellis, John R.Nanopoulos, Dimitri V.Volkov, G.Universal Calabi-Yau Algebra: Classification and Enumeration of FibrationsParticle Physics - TheoryWe apply a universal normal Calabi-Yau algebra to the construction and classification of compact complex $n$-dimensional spaces with SU(n) holonomy and their fibrations. This algebraic approach includes natural extensions of reflexive weight vectors to higher dimensions and a `dual' construction based on the Diophantine decomposition of invariant monomials. The latter provides recurrence formulae for the numbers of fibrations of Calabi-Yau spaces in arbitrary dimensions, which we exhibit explicitly for some Weierstrass and K3 examples.We apply a universal normal Calabi-Yau algebra to the construction and classification of compact complex $n$-dimensional spaces with SU(n) holonomy and their fibrations. This algebraic approach includes natural extensions of reflexive weight vectors to higher dimensions and a `dual' construction based on the Diophantine decomposition of invariant monomials. The latter provides recurrence formulae for the numbers of fibrations of Calabi-Yau spaces in arbitrary dimensions, which we exhibit explicitly for some Weierstrass and K3 examples.hep-th/0212272ACT-02-11CERN-TH-2002-370LAPTH-957-02MIFP-02-10CERN-TH-2002-370CT-2002-11LAPP-TH-957MIFP-2002-10oai:cds.cern.ch:5984452002-12-20
spellingShingle Particle Physics - Theory
Anselmo, F.
Ellis, John R.
Nanopoulos, Dimitri V.
Volkov, G.
Universal Calabi-Yau Algebra: Classification and Enumeration of Fibrations
title Universal Calabi-Yau Algebra: Classification and Enumeration of Fibrations
title_full Universal Calabi-Yau Algebra: Classification and Enumeration of Fibrations
title_fullStr Universal Calabi-Yau Algebra: Classification and Enumeration of Fibrations
title_full_unstemmed Universal Calabi-Yau Algebra: Classification and Enumeration of Fibrations
title_short Universal Calabi-Yau Algebra: Classification and Enumeration of Fibrations
title_sort universal calabi-yau algebra: classification and enumeration of fibrations
topic Particle Physics - Theory
url https://dx.doi.org/10.1142/S0217732303009769
http://cds.cern.ch/record/598445
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AT nanopoulosdimitriv universalcalabiyaualgebraclassificationandenumerationoffibrations
AT volkovg universalcalabiyaualgebraclassificationandenumerationoffibrations

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