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We present solutions of the holomorphic anomaly equations for compact two-parameter Calabi-Yau manifolds which are hypersurfaces in weighted projective space. In particular we focus on K3-fibrations where due to heterotic type II duality…

High Energy Physics - Theory · Physics 2010-01-22 Babak Haghighat , Albrecht Klemm

Compactifications of heterotic string theory on Generalized Calabi-Yau manifolds have been expected to give the same type of flexibility that type IIB compactifications on Calabi-Yau orientifolds have. In this note we generalize the work…

High Energy Physics - Theory · Physics 2010-02-19 S. P. de Alwis

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 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 provide the first explicit example of Type IIB string theory compactification on a globally defined Calabi-Yau threefold with torsion which results in a four-dimensional effective theory with a non-Abelian discrete gauge symmetry. Our…

High Energy Physics - Theory · Physics 2017-09-13 Volker Braun , Mirjam Cvetic , Ron Donagi , Maximilian Poretschkin

We analyze the map between heterotic and type II N=2 supersymmetric string theories for certain two and three moduli examples found by Kachru and Vafa. The appearance of elliptic j-functions can be traced back to specializations of the…

High Energy Physics - Theory · Physics 2009-10-28 A. Klemm , W. Lerche , P. Mayr

We report on a search for $N=2$ heterotic strings that are dual candidates of type II compactifications on Calabi-Yau threefolds described as $K3$ fibrations. We find many new heterotic duals by using standard orbifold techniques. The…

High Energy Physics - Theory · Physics 2014-11-18 G. Aldazabal , L. E. Ibanez , A. Font , F. Quevedo

We study type IIA string theory compactified on Calabi-Yau fourfolds and heterotic string theory compactified on Calabi-Yau threefolds times a two-torus. We derive the resulting effective theories which have two space-time dimensions and…

High Energy Physics - Theory · Physics 2010-12-03 Michael Haack , Jan Louis , Monika Marquart

We propose non-supersymmetric analogues of 6d N=2 Type II/heterotic dualities via a quotient of a K3 surface: an Enriques surface. We start from Type~II strings on a K3 surface and construct orbifold theories using an involution of K3. We…

High Energy Physics - Theory · Physics 2026-01-30 Arata Ishige

We explore various non-supersymmetric type II string vacua constructed based on asymmetric orbifolds of tori with vanishing cosmological constant at the one loop. The string vacua we present are modifications of the models studied in…

High Energy Physics - Theory · Physics 2016-08-24 Yuji Sugawara , Taiki Wada

We use freely acting asymmetric orbifolds of type IIB string theory to construct a class of theories in four dimensions with eight supercharges. Their low energy effective field theories resemble $STU$ models, but have different duality…

High Energy Physics - Theory · Physics 2025-06-16 George Gkountoumis , Chris Hull , Guo-En Nian , Stefan Vandoren

We construct several examples where duality transformation commutes with the orbifolding procedure even when the orbifolding group does not act freely, and there are massless states from the twisted sector at a generic point in the moduli…

High Energy Physics - Theory · Physics 2009-09-15 Ashoke Sen

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

We analyze the general class of supersymmetry preserving orbifolds of strong/weak Type IIA/heterotic dual pairs in six dimensions and below. A unified treatment is given by considering compactification to two spacetime dimensions and…

High Energy Physics - Theory · Physics 2011-07-19 S. Chaudhuri , D. A. Lowe

Motivated by the work of Polchinski and Strominger on type IIA theory, where the effect of non-trivial field strengths for p-form potentials on a Calabi-Yau space was discussed, we study four-dimensional heterotic string theory in the…

High Energy Physics - Theory · Physics 2009-10-30 I. Antoniadis , E. Gava , K. S. Narain , T. R. Taylor

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 use non-perturbative U-duality symmetries of type II strings to construct new vacuum solutions. In some ways this generalizes the F-theory vacuum constructions. We find the possibilities of new vacuum constructions are very limited.…

High Energy Physics - Theory · Physics 2009-10-30 Alok Kumar , Cumrun Vafa

Making use of non-perturbative U-duality symmetries of type II strings we construct new `superstring' vacua in three dimensions with N=1 supersymmetry. This has an interpretation as compactifying formally from 13 dimensions (S-theory) on…

High Energy Physics - Theory · Physics 2009-10-07 G. Curio , D. Lust

Heterotic string compactifications on a $K3$ surface $\mathfrak{S}$ depend on a choice of hyperk\"ahler metric, anti-self-dual gauge connection and Kalb-Ramond flux, parametrized by hypermultiplet scalars. The metric on hypermultiplet…

High Energy Physics - Theory · Physics 2014-09-04 Sergei Alexandrov , Jan Louis , Boris Pioline , Roberto Valandro

A construction of Calabi-Yaus as quotients of products of lower-dimensional spaces in the context of weighted hypersurfaces is discussed, including desingularisation. The construction leads to Calabi-Yaus which have a fiber structure, in…

Algebraic Geometry · Mathematics 2023-09-12 Bruce Hunt , Rolf Schimmrigk