Showing papers on "Calabi–Yau manifold published in 1990"
TL;DR: In this paper, a duality in the moduli space of string vacua which pairs topologically distinct Calabi-Yau manifolds and shows that the yield isomorphic conformal theories is described.
743 citations
TL;DR: In this article, the authors describe string vacuum configurations for which the radii (moduli) of the internal compact space vary in four-dimensional space-time, focusing on configurations which have the interpretation of cosmic strings.
515 citations
TL;DR: In this article, the moduli fields are accompanied by (Ramond-Ramond) scalar superpartners and the low-energy effective mutual interaction of these excitations is described by a quaternionic σ-model in target space.
489 citations
TL;DR: The relation between exactly solvable conformal field theory compactifications of the Heterotic String and Calabi-Yau manifolds has been studied in this article, where a subclass of these spaces is constructed, and it is shown that this class features a surprising symmetry under χ → −χ.
335 citations
TL;DR: For a very large number of Calabi-Yau manifolds of many different numerical invariants and hence distinct homotopy types, the relevant moduli spaces can be assembled into a connected web.
282 citations
TL;DR: In this paper, the massless spectra of (2, 2) superconformal Gepner models with arbitrary (in particular D-type) affine invariants are presented.
69 citations
46 citations
TL;DR: In this article, the authors identify a class of weighted complete intersection Calabi-Yau manifolds with Gepner models involving the non-diagonal invariants and describe how to compute the spectrum for these Calabi Yau manifold using the theory of resolutions of singularities.
39 citations
TL;DR: In this article, the Pontryagin class on integral cohomology is used to distinguish the many CICY manifolds that have the same Hodge numbers, and it is shown by examining manifolds embedded in fewer than six projective spaces that at least 2590 of the manifolds are distinct.
Abstract: The intersection numbers and the action of the Pontryagin class on the integral cohomology are used to distinguish between the many CICY manifolds that have the same Hodge numbers. It is shown by examining manifolds embedded in fewer than six projective spaces that at least 2590 of the manifolds are distinct.
38 citations
36 citations
TL;DR: In this article, supermoduli can be defined as N = 2 target space vector-supermultiplets containing both the moduli and their vector field bosonic superpartners.
TL;DR: In this paper, complete σ-model actions with manifest world-sheet rigid (2,2) and local supersymmetry are constructed to describe the heterotic superstring with an arbitrary internal Calabi-Yau manifold.
TL;DR: In this article, the authors generalize spacetime duality symmetry to the case of Calabi-Yau compactifications of the superstring and show that duality-symmetry corresponds to a combination of U(1) left charge conjugation of the associated N = 2 SCFT and generalized modular transformations of the Calabi Yau manifold.
TL;DR: In this paper, it was shown that the lattice of integer parallel 2-forms on the Riemannian manifold (F,m) has the Gram matrix diag (4,8,8).
TL;DR: In this paper, the properties of leptons in the framework of the E8 × E'8 heterotic string compactified on three-generation Calabi-Yau manifolds are investigated.
TL;DR: A consistent dimensional reduction rule is established in superspace and the problem of the compactification of the supervielbien is avoided by using the technique of background-quantum splitting in the Green-Schwarz σ-model.
CERN1
TL;DR: Baryogenesis in the context of three-generation Calabi-Yau superstring models is discussed and a concrete example is presented in which an acceptable baryon asymmetry is generated through the out-of-equilibrium decay of “heavy” particles at temperatures ∼ 1 GeV as mentioned in this paper.
CERN1
TL;DR: In this article, the geometry of the moduli space of Calabi-Yau compactifications and their implications for superstring four-dimensional effective lagrangians are investigated. But their results are restricted to the case of superstring 4D effective Lagrangians.
Abstract: We report on recent results on the geometry of the moduli space of Calabi-Yau compactifications and their implications for superstring four-dimensional effective lagrangians
TL;DR: In this article, the Gepner tensor product of N = 2 superconformal modular invariant primary fields corresponding to one of the two representations of the Calabi-Yau manifold S has been used to calculate mass ratios of superheavy leptons.
01 Aug 1990
TL;DR: In this article, an analysis of the conditions needed for a general Tian-Yau CP3 × CP3/Z3 Calabi-yau compactification of the heterotic string to reduce to the Standard Model at low energies is given.
Abstract: An analysis of the conditions needed for a general Tian-Yau CP3 × CP3/Z3 Calabi-Yau compactification of the heterotic string to reduce to the Standard Model at low energies is given. A model independent analysis shows that in general these conditions imply the existence of four new neutral light particles. The conditions on the Yukawa couplings for the existence of a light pair of Higgs doublets is given.
01 Jan 1990
TL;DR: In this article, Gepner showed that all exact N = 2 superconformai models correspond to Calabi-Yau manifolds and that the fields also transform in the same way under discrete symmetry transformations.
Abstract: It has been clear for some time now that not all compactification schemes used to construct consistent Heterotic String vacua are independent. This is particularly obvious in the case of Calabi-Yau manifold compactifications and the c = 9, N — 2 minimal superconformai tensor models. In two case studies [1] Gepner presented compelling evidence for the existence of a deep relation between exact models and Calabi-Yau manifolds (CYs). Gepner showed that not only do these two models have the same massless spectrum and exhibit the same discrete symmetries, but that the fields also transform in the same way under discrete symmetry transformations. Although somewhat indirect, this evidence lead Gepner to conjecture that all exact N = 2 superconformai models correspond to Calabi-Yau manifolds.