UNIVERSAL CALABI–YAU ALGEBRA: CLASSIFICATION AND ENUMERATION OF FIBRATIONS-Reference-Cited by-同舟云学术

UNIVERSAL CALABI–YAU ALGEBRA: CLASSIFICATION AND ENUMERATION OF FIBRATIONS

Published:2003-03-28 Issue:10 Volume:18 Page:699-710
ISSN:0217-7323
Container-title:Modern Physics Letters A
language:en
Short-container-title:Mod. Phys. Lett. A

Author:

ANSELMO F.¹,ELLIS J.¹,VOLKOV G.¹,NANOPOULOS D. V.²³⁴

Affiliation:

1. CERN, CH-1211 Geneva, Switzerland

2. George P. and Cynthia W. Mitchell Institute of Fundamental Physics, Texas A&M University, College Station, TX 77843-4242, USA

3. Astroparticle Physics Group, Houston Advanced Research Center (HARC), The Mitchell Campus, The Woodlands, TX 77381, USA

4. Chair of Theoretical Physics, Academy of Athens, Division of Natural Sciences, 28 Panepistimiou Avenue, Athens 10679, Greece

Abstract

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 formulas for the numbers of fibrations of Calabi–Yau spaces in arbitrary dimensions, which we exhibit explicitly for some Weierstrass and K3 examples.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217732303009769

Reference5 articles.

1. Geometric singularities and enhanced gauge symmetries

2. Results from an algebraic classification Calabi–Yau manifolds

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