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We study quantum effects in five dimensions in heterotic superstring theory compactified on K_3 x S_1 and analyze the conjecture that its dual effective theory is eleven-dimensional supergravity compactified on a Calabi-Yau threefold. This…

High Energy Physics - Theory · Physics 2011-05-05 I. Antoniadis , S. Ferrara , T. R. Taylor

In this paper, we apply Borcea-Voisin's construction and give new examples of fourfolds containing a del Pezzo surface of degree six, which admit an elliptic fibration on a smooth threefold. Some of these fourfolds are Calabi-Yau varieties,…

Algebraic Geometry · Mathematics 2015-07-24 Gilberto Bini , Matteo Penegini

We consider the general case of a type IIA string compactified on a Calabi-Yau manifold which has a heterotic dual description. It is shown that the nonabelian gauge symmetries which can appear nonperturbatively in the type II string but…

High Energy Physics - Theory · Physics 2009-10-28 Paul S. Aspinwall

We compute the contribution of Euclidean D-branes in type IIB string theory on Calabi-Yau threefolds to the metric on the hypermultiplet moduli space in the large volume, weak coupling limit. Our results are in perfect agreement with the…

High Energy Physics - Theory · Physics 2025-07-14 Sergei Alexandrov , Ashoke Sen , Bogdan Stefański

We construct compact examples of D-manifolds for type IIB strings. The construction has a natural interpretation in terms of compactification of a 12 dimensional `F-theory'. We provide evidence for a more natural reformulation of type IIB…

High Energy Physics - Theory · Physics 2009-07-09 Cumrun Vafa

We study the action of mirror symmetry on two-dimensional N=(2,2) effective theories obtained by compactifying Type IIA string theory on Calabi-Yau fourfolds. Our focus is on fourfold geometries with non-trivial three-form cohomology. The…

High Energy Physics - Theory · Physics 2021-12-21 Sebastian Greiner , Thomas W. Grimm

Type IIA string theory compactified on a Calabi-Yau threefold has a hypermultiplet moduli space whose metric is known to receive non-perturbative corrections from Euclidean D2-branes wrapped on 3-cycles. These corrections have been computed…

High Energy Physics - Theory · Physics 2025-07-14 Sergei Alexandrov , Ashoke Sen , Bogdan Stefański

We study N=2 four-dimensional flux vacua describing intrinsic non-perturbative systems of 3 and 7 branes in type IIB string theory. The solutions are described as compactifications of a G(ravity) theory on a Calabi Yau threefold which…

High Energy Physics - Theory · Physics 2013-10-24 Andreas P. Braun , Francesco Fucito , Jose Francisco Morales

We study the number of flux vacua for type IIB string theory on an orientifold of the Calabi-Yau expressed as a hypersurface in WCP^4[1,1,2,2,6] by evaluating a suitable integral over the complex-structure moduli space as per the conjecture…

High Energy Physics - Theory · Physics 2009-11-10 A. Misra , A. Nanda

We identify the twisted sectors of a compact simplicial toric variety. We do the same for a generic nondegenerate Calabi-Yau hypersurface of an $n$-dimensional simplicial Fano toric variety and then explicitly compute $h^{1,1}_{orb}$ and…

Algebraic Geometry · Mathematics 2007-05-23 Mainak Poddar

We give results for the distribution and number of flux vacua of various types, supersymmetric and nonsupersymmetric, in IIb string theory compactified on Calabi-Yau manifolds. We compare this with related problems such as counting…

High Energy Physics - Theory · Physics 2010-02-03 Frederik Denef , Michael R. Douglas

We investigate the possibility that spiral inflation can be realized using the near-conifold flux potentials for the complex structure moduli in type IIB string theory compactified on a Calabi-Yau manifold. Using the explicit form of the…

High Energy Physics - Theory · Physics 2013-08-05 Pontus Ahlqvist , Brian Greene , David Kagan

We continue our study of compactifications of F-theory on Calabi--Yau threefolds. We gain more insight into F-theory duals of heterotic strings and provide a recipe for building F-theory duals for arbitrary heterotic compactifications on…

High Energy Physics - Theory · Physics 2010-11-19 David R. Morrison , Cumrun Vafa

We compute all loop topological string amplitudes on orientifolds of local Calabi-Yau manifolds, by using geometric transitions involving SO/Sp Chern-Simons theory, localization on the moduli space of holomorphic maps with involution, and…

High Energy Physics - Theory · Physics 2008-11-26 Vincent Bouchard , Bogdan Florea , Marcos Marino

We study compactification of heterotic strings to three dimensions on orbifolds of G_2 holonomy. We consider the standard embedding and show that the gauge group is broken from E_8 x E_8 or SO(32) to F_4 x E_8 or SO(25) respectively. We…

High Energy Physics - Theory · Physics 2010-12-02 Anamaria Font

A fundamental problem in contemporary string/M theory is to count the number of inequivalent vacua satisfying constraints in a string theory model. This article contains the first rigorous results on the number and distribution of…

Mathematical Physics · Physics 2010-12-03 Michael R. Douglas , Bernard Shiffman , Steve Zelditch

We discuss some aspects of F-theory in four dimensions on elliptically fibered Calabi-Yau fourfolds which are Calabi-Yau threefold fibrations. A particularly simple class of such manifolds emerges for fourfolds in which the generic…

High Energy Physics - Theory · Physics 2009-10-30 I. Brunner , R. Schimmrigk

We investigate a class of 1/2-BPS bubbling geometries associated to orientifolds of type IIB string theory and thereby to excited states of the SO(N)/Sp(N) N=4 supersymmetric Yang-Mills theory. The geometries are in correspondence with free…

High Energy Physics - Theory · Physics 2009-11-11 Sunil Mukhi , Mikael Smedbäck

Recently proposed mechanism of the black hole condensation at conifold singularity in type II string is an interesting idea from which we can interpret the phase of the universal moduli space of the string vacua. It might also be expected…

High Energy Physics - Theory · Physics 2010-11-19 Hisao Suzuki

We construct supersymmetric compactifications of E_8 \times E_8 heterotic string theory which realise exactly the massless spectrum of the Minimal Supersymmetric Standard Model (MSSM) at low energies. The starting point is the standard…

High Energy Physics - Theory · Physics 2012-06-08 Volker Braun , Philip Candelas , Rhys Davies , Ron Donagi
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