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Related papers: Twisting K3 x T^2 Orbifolds

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We study the relation between a heterotic T^6/Z6 orbifold model and a compactification on a smooth Voisin-Borcea Calabi-Yau three-fold with non-trivial line bundles. This orbifold can be seen as a Z2 quotient of T^4/Z3 x T^2. We consider a…

High Energy Physics - Theory · Physics 2015-06-11 Wilfried Buchmuller , Jan Louis , Jonas Schmidt , Roberto Valandro

We construct novel classes of compact G2 spaces from lifting type IIA flux backgrounds with O6 planes. There exists an extension of IIA Calabi-Yau orientifolds for which some of the D6 branes (required to solve the RR tadpole) are dissolved…

High Energy Physics - Theory · Physics 2025-03-13 Stefano Andriolo , Gary Shiu , Hagen Triendl , Thomas Van Riet , Victoria Venken , Gianluca Zoccarato

Using a ``Superstrings with Torsion'' type description, we study a class of IIB orientifolds in which spacefilling O5 planes and D5 branes wrap the T^2 fiber in a warped modification of the product of 4D Minkowski space and a T^2 fibration.…

High Energy Physics - Theory · Physics 2009-11-10 Michael B. Schulz

We investigate orientifolds of type II string theory on K3 and Calabi-Yau 3-folds with intersecting D-branes wrapping special Lagrangian cycles. We determine quite generically the chiral massless spectrum in terms of topological invariants…

High Energy Physics - Theory · Physics 2009-11-07 Ralph Blumenhagen , Volker Braun , Boris Kors , Dieter Lust

We construct Calabi-Yau manifolds and their mirrors from K3 surfaces. This method was first developed by Borcea and Voisin. We examined their properties torically and checked mirror symmetry for Calabi-Yau 4-fold case. From Borcea-Voisin…

High Energy Physics - Theory · Physics 2008-02-03 Mitsuko Abe , Masamichi Sato

We show that certain classes of K3 fibered Calabi-Yau manifolds derive from orbifolds of global products of K3 surfaces and particular types of curves. This observation explains why the gauge groups of the heterotic duals are determined by…

High Energy Physics - Theory · Physics 2009-10-28 Bruce Hunt , Rolf Schimmrigk

We discuss Z_2 \times Z_2 orientifolds where the orbifold twists are accompanied by shifts on momentum or winding lattice states. The models contain variable numbers of D5 branes, whose massless (and, at times, even massive) modes have…

High Energy Physics - Theory · Physics 2009-10-31 I. Antoniadis , G. D'Appollonio , E. Dudas , A. Sagnotti

In this paper, we apply Borcea--Voisin's construction and give new examples of Calabi--Yau fourfolds $Y$, which admit an elliptic fibration onto a smooth threefold $V$, whose singular fibers of type $I_5$ lie above a del Pezzo surface $dP…

Algebraic Geometry · Mathematics 2019-05-08 Andrea Cattaneo , Alice Garbagnati , Matteo Penegini

We construct the M-Theory lifts of type IIA orientifolds based on K3-fibred Calabi-Yau threefolds with compatible involutions. Such orientifolds are shown to lift to M-Theory on twisted connected sum $G_2$ manifolds. Beautifully, the two…

High Energy Physics - Theory · Physics 2020-09-08 Andreas P. Braun

We construct Type IIA orientifolds for general supersymmetric Z_N orbifolds. In particular, we provide the methods to deal with the non-factorisable six-dimensional tori for the cases Z7, Z8, Z8', Z12 and Z12'. As an application of these…

High Energy Physics - Theory · Physics 2009-11-10 Ralph Blumenhagen , Joseph P. Conlon , Kerim Suruliz

In previous work, it was argued that the type IIB T^6/Z_2 orientifold with a choice of flux preserving N=2 supersymmetry is dual to a class of purely geometric type IIA compactifications on abelian surface (T^4) fibered Calabi-Yau…

High Energy Physics - Theory · Physics 2015-05-13 Ron Donagi , Peng Gao , Michael B. Schulz

We consider certain $K3$-fibered Calabi--Yau threefolds. One class of such Calabi--Yau threefolds are constructed by Hunt and Schimmrigk using twist maps. They are realized in weighted projective spaces as orbifolds of hypersurfaces. Our…

Number Theory · Mathematics 2009-11-05 Yasuhiro Goto , Remke Kloosterman , Noriko Yui

We investigate the dynamics of space-time filling five-branes wrapped on curves in heterotic and orientifold Calabi-Yau compactifications. We first study the leading N=1 scalar potential on the infinite deformation space of the brane-curve…

High Energy Physics - Theory · Physics 2015-03-17 Thomas W. Grimm , Albrecht Klemm , Denis Klevers

We consider Calabi-Yau threefolds of Borcea-Voisin type over Q. They are constructed from products of K3 surfaces and elliptic curves. We use concrete K3 surfaces and discuss the automorphy of the Galois representations associated to the…

Number Theory · Mathematics 2014-04-08 Yasuhiro Goto , Ron Livne , Noriko Yui

By blowing up the ambient space along the curve wrapped by B-branes, we study the brane superpotentials and Ooguri-Vafa invariants on complete intersections Calabi-Yau threefolds. On the topological B-model side, B-brane superpotentials are…

High Energy Physics - Theory · Physics 2022-07-29 Xuan Li , Yuan-Chun Jing , Fu-Zhong Yang

We extend our variant of mirror symmetry for K3 surfaces \cite{GN3} and clarify its relation with mirror symmetry for Calabi-Yau manifolds. We introduce two classes (for the models A and B) of Calabi-Yau manifolds fibrated by K3 surfaces…

alg-geom · Mathematics 2014-10-13 Valeri A. Gritsenko , Viacheslav V. Nikulin

We consider non-perturbative six dimensional N=1 space-time supersymmetric orientifolds of Type IIB on K3 with non-trivial NS-NS B-flux. All of these models are non-perturbative in both orientifold and heterotic pictures. Thus, some states…

High Energy Physics - Theory · Physics 2009-10-31 Zurab Kakushadze

We study string theory propagating on R^6 times K3 by constructing orientifolds of Type IIB string theory compactified on the T^4/Z_N orbifold limits of the K3 surface. This generalises the Z_2 case studied previously. The orientifold…

High Energy Physics - Theory · Physics 2014-11-18 Eric G. Gimon , Clifford V. Johnson

An orientifold of Type-IIB theory on a $K3$ realized as a $Z_2$ orbifold is constructed which corresponds to F-theory compactification on a Calabi-Yau orbifold with Hodge numbers $(51, 3)$. The T-dual of this model is analogous to an…

High Energy Physics - Theory · Physics 2009-10-30 Atish Dabholkar , Jaemo Park

We describe the general geometrical framework of brane world constructions in orientifolds of type IIA string theory with D6-branes wrapping 3-cycles in a Calabi-Yau 3-fold, and point out their immediate phenomenological relevance. These…

High Energy Physics - Theory · Physics 2007-05-23 Ralph Blumenhagen , Volker Braun , Boris Kors , Dieter Lust
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