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Related papers: Compactification, Geometry and Duality: N=2

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The heterotic string compactified on an (n-1)-dimensional elliptically fibered Calabi-Yau Z-->B is conjectured to be dual to F-theory compactified on an n-dimensional Calabi-Yau X-->B, fibered over the same base with elliptic K3 fibers. In…

High Energy Physics - Theory · Physics 2007-05-23 Ron Y. Donagi

Quantum corrections in the hypermultiplet moduli space of type IIA string theories compactified on Calabi-Yau threefolds are investigated.

High Energy Physics - Theory · Physics 2015-06-26 Holger Guenther , Carl Herrmann , Jan Louis

Flux compactification of IIB string theory associates special points in Calabi-Yau moduli space to choices of (pairs of) integral three-form fluxes. In this paper, we propose that supersymmetric flux vacua are modular. That is, to a…

High Energy Physics - Theory · Physics 2020-03-31 Shamit Kachru , Richard Nally , Wenzhe Yang

The moduli dependence of $(2,2)$ superstring compactifications based on Calabi--Yau hypersurfaces in weighted projective space has so far only been investigated for Fermat-type polynomial constraints. These correspond to Landau-Ginzburg…

High Energy Physics - Theory · Physics 2014-11-18 P. Berglund , S. Katz , A. Klemm

We study compactifications of Type IIB string theory on a K3 \times T^2/Z_2 orientifold in the presence of RR and NS flux. We find the most general supersymmetry preserving, Poincare invariant, vacua in this model. All the complex structure…

High Energy Physics - Theory · Physics 2010-11-19 Prasanta K. Tripathy , Sandip P. Trivedi

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 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

The condition of having an $N=1$ spacetime supersymmetry for heterotic string leads to 4 distinct possibilities for compactifications namely compactifications down to 6,4,3 and 2 dimensions. Compactifications to 6 and 4 dimensions have been…

High Energy Physics - Theory · Physics 2010-11-01 S. L. Shatashvili , C. Vafa

We study limits of four-dimensional type II Calabi-Yau compactifications with vanishing four-cycle singularities, which are dual to $\IT^2$ compactifications of the six-dimensional non-critical string with $E_8$ symmetry. We define proper…

High Energy Physics - Theory · Physics 2016-09-06 W. Lerche , P. Mayr , N. P. Warner

We propose and give strong evidence for a duality relating Type II theories on Calabi-Yau spaces and heterotic strings on $K3 \times T^2$, both of which have $N=2$ spacetime supersymmetry. Entries in the dictionary relating the dual…

High Energy Physics - Theory · Physics 2009-07-09 S. Ferrara , J. A. Harvey , A. Strominger , C. Vafa

In this work, we provide evidence for a duality between 4-dimensional Calabi-Yau compactifications of the heterotic string, in which the base manifolds are linked by a conifold transition. In recent work, a geometric proposal was put…

High Energy Physics - Theory · Physics 2025-12-23 Lara B. Anderson , James Gray , Sunit A. Patil , Caoimhín Scanlon

The c-map relates classical hypermultiplet moduli spaces in compactifications of type II strings on a Calabi-Yau threefold to vector multiplet moduli spaces via a further compactification on a circle. We give an off-shell description of the…

High Energy Physics - Theory · Physics 2009-11-11 Martin Rocek , Cumrun Vafa , Stefan Vandoren

We study the compactification of M-theory on Calabi-Yau five-folds and the resulting N=2 super-mechanics theories. By explicit reduction from 11 dimensions, including both bosonic and fermionic terms, we calculate the one-dimensional…

High Energy Physics - Theory · Physics 2009-05-18 Alexander S. Haupt , Andre Lukas , K. S. Stelle

We study compactifications of type II theories on SU(2) x SU(2) structure manifolds to six, five and four spacetime dimensions. We use the framework of generalized geometry to describe the NS-NS sector of such compactifications and derive…

High Energy Physics - Theory · Physics 2009-07-23 Hagen Triendl , Jan Louis

We study the duality between four-dimensional N=2 compactifications of heterotic and type IIA string theories. Via adiabatic fibration of the duality in six dimensions, type IIA string theory compactified on a K3-fibred Calabi-Yau threefold…

High Energy Physics - Theory · Physics 2016-08-12 Andreas P. Braun , Taizan Watari

Heterotic string theory compactified on a K3 surface times T^2 is believed to be equivalent to type II string theory on a suitable Calabi-Yau threefold. In particular, it must share the same hypermultiplet moduli space. Building on the…

High Energy Physics - Theory · Physics 2014-09-04 Sergei Alexandrov , Boris Pioline

We study string compactifications with sixteen supersymmetries. The moduli space for these compactifications becomes quite intricate in lower dimensions, partly because there are many different irreducible components. We focus primarily,…

High Energy Physics - Theory · Physics 2007-05-23 Jan de Boer , Robbert Dijkgraaf , Kentaro Hori , Arjan Keurentjes , John Morgan , David R. Morrison , Savdeep Sethi

We discuss a duality of (0,2) heterotic string vacua which implies that certain pairs of (0,2) Calabi-Yau compactifications on topologically distinct target manifolds yield identical string theories. Some complex structure moduli in one…

High Energy Physics - Theory · Physics 2016-09-06 Jacques Distler , Shamit Kachru

We study the mechanism for appearance of massless solitons in type II string compactifications. We find that by combining $T$-duality with strong/weak duality of type IIB in 10 dimensions enhanced gauge symmetries and massless solitonic…

High Energy Physics - Theory · Physics 2009-10-28 M. Bershadsky , V. Sadov , C. Vafa

We derive the three-dimensional $\mathcal{N}=1$ effective theories obtained by compactifying all five ten-dimensional string theories on generic seven-dimensional manifolds with $G_2$ structure. The resulting flux compactifications are…

High Energy Physics - Theory · Physics 2026-05-11 Aravind Aikot , Zheng Miao , George Tringas , Timm Wrase