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Related papers: Some Three Generation (0,2) Calabi-Yau Models

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We consider topological closed string theories on Calabi-Yau manifolds which compute superpotential terms in the corresponding compactified type II effective action. In particular, near certain singularities we compare the partition…

High Energy Physics - Theory · Physics 2008-11-26 Rajesh Gopakumar , Cumrun Vafa

Using Z3 asymmetric orbifolds in heterotic string theory, we construct N=1 SUSY three-generation models with the standard model gauge group SU(3)_C \times SU(2)_L \times U(1)_Y and the left-right symmetric group SU(3)_C \times SU(2)_L…

High Energy Physics - Theory · Physics 2015-06-17 Florian Beye , Tatsuo Kobayashi , Shogo Kuwakino

Recent work on four dimensional effective descriptions of the heterotic string has identified the moduli of such systems as being given by kernels of maps between ordinary Dolbeault cohomology groups. The maps involved are defined by the…

High Energy Physics - Theory · Physics 2018-08-15 James Gray , Hadi Parsian

We give necessary conditions for the existence of perturbative heterotic and common sector type II string warped compactifications preserving four and eight supersymmetries to four spacetime dimensions, respectively. In particular, we find…

High Energy Physics - Theory · Physics 2009-10-09 S. Ivanov , G. Papadopoulos

We study the Calabi-Yau phase of a certain class of (0,2) models. These are conjectured to be equivalent to exact (0,2) superconformal field theories which have been constructed recently. Using the methods of toric geometry we discuss in a…

High Energy Physics - Theory · Physics 2009-10-30 M. Nikbakht-Tehrani

We give a proof of the existence of $G=SU(5)$, stable holomorphic vector bundles on elliptically fibered Calabi--Yau threefolds with fundamental group $\bbz_2$. The bundles we construct have Euler characteristic 3 and an anomaly that can be…

High Energy Physics - Theory · Physics 2010-02-03 Ron Donagi , Burt Ovrut , Tony Pantev , Dan Waldram

An explicit description of the spectral data of stable U(n) vector bundles on elliptically fibered Calabi-Yau threefolds is given, extending previous work of Friedman, Morgan and Witten. The characteristic classes are computed and it is…

High Energy Physics - Theory · Physics 2014-11-18 Bjorn Andreas , Daniel Hernandez Ruiperez

We present a complete intersection Calabi-Yau manifold Y that has Euler number -72 and which admits free actions by two groups of automorphisms of order 12. These are the cyclic group Z_12 and the non-Abelian dicyclic group Dic_3. The…

High Energy Physics - Theory · Physics 2014-11-20 Volker Braun , Philip Candelas , Rhys Davies

We present a new class of dualities relating non-geometric Calabi-Yau compactifications of type II string theory to T-fold compactifications of the heterotic string, both preserving four-dimensional $\mathcal{N}=2$ supersymmetry. The…

High Energy Physics - Theory · Physics 2020-01-08 Yoan Gautier , Chris M. Hull , Dan Israël

We study a direct flux breaking scenario in $SO(32)$ heterotic string theory on general Calabi-Yau threefolds. The direct flux breaking, corresponding to hypercharge flux breaking in the F-theory context, allows us to derive the Standard…

High Energy Physics - Theory · Physics 2018-12-05 Hajime Otsuka , Kenta Takemoto

We demonstrate that type II string theory compactified on a singular Calabi-Yau manifold is related to $c=1$ string theory compactified at the self-dual radius. We establish this result in two ways. First we show that complex structure…

High Energy Physics - Theory · Physics 2009-10-28 Dileep P. Jatkar , Bas Peeters

We consider a generalization of Einstein-Sasaki manifolds, which we characterize in terms both of spinors and differential forms, that in the real analytic case corresponds to contact manifolds whose symplectic cone is Calabi-Yau. We…

Differential Geometry · Mathematics 2011-04-01 Diego Conti , Anna Fino

We consider type II and heterotic string compactifications on an isolated singularity in the noncompact Gepner model approach. The conifold-type ADE noncompact Calabi-Yau threefolds, as well as the ALE twofolds, are modeled by a tensor…

High Energy Physics - Theory · Physics 2009-11-13 Shun'ya Mizoguchi

We study compactifications of type IIB supergravity on Calabi-Yau threefolds. The resulting low energy effective Lagrangian is displayed in the large volume limit and its symmetry properties - with specific emphasis on the SL(2,Z) - are…

High Energy Physics - Theory · Physics 2009-10-31 Robert Boehm , Holger Guenther , Carl Herrmann , Jan Louis

We show how enhanced gauge symmetry in type II string theory compactified on a Calabi--Yau threefold arises from singularities in the geometry of the target space. When the target space of the type IIA string acquires a genus $g$ curve $C$…

High Energy Physics - Theory · Physics 2011-10-11 Sheldon Katz , David R. Morrison , M. Ronen Plesser

We consider the general case of N=2 dual pairs of type IIA/heterotic string theories in four dimensions. We show that if the type IIA string in this pair can be viewed as having been compactified on a Calabi-Yau manifold in the usual way…

High Energy Physics - Theory · Physics 2019-08-15 Paul S. Aspinwall , Jan Louis

We prove that compact Calabi--Yau varieties with certain isolated singularities are projective. In dimension 3 we do this by analysis, supposing given conifold metrics. In higher dimensions it follows more readily from Ohsawa's degenerate…

Algebraic Geometry · Mathematics 2025-10-17 Yohsuke Imagi

In this paper we study compactifications of the ${\cal N}=2$ heterotic $E_8\times E_8$ string on $(K3\times T^2)/\mathbb{Z}_3$ with various gauge backgrounds and calculate the topological couplings in the effective supergravity action that…

High Energy Physics - Theory · Physics 2020-05-20 Andreas Banlaki , Aradhita Chattopadhyaya , Abhiram Kidambi , Thorsten Schimannek , Maria Schimpf

We construct heterotic standard models by compactifying on smooth Calabi-Yau three-folds in the presence of purely Abelian internal gauge fields. A systematic search over complete intersection Calabi-Yau manifolds with less than six Kahler…

High Energy Physics - Theory · Physics 2015-05-28 Lara B. Anderson , James Gray , Andre Lukas , Eran Palti

We systematically analyse globally consistent SU(5) GUT models on intersecting D7-branes in genuine Calabi-Yau orientifolds with O3- and O7-planes. Beyond the well-known tadpole and K-theory cancellation conditions there exist a number of…

High Energy Physics - Theory · Physics 2009-09-29 Ralph Blumenhagen , Volker Braun , Thomas W. Grimm , Timo Weigand