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We formulate a twisted version of the conjectured duality between heterotic and type I string theories. Our formulation relates the chiral part of the heterotic string with a type I topological B-model on a Calabi-Yau five-fold. We provide…

High Energy Physics - Theory · Physics 2021-10-28 Kevin Costello , Brian R. Williams

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

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 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 study compactifications of F-theory on certain Calabi--Yau threefolds. We find that $N=2$ dualities of type II/heterotic strings in 4 dimensions get promoted to $N=1$ dualities between heterotic string and F-theory in 6 dimensions. The…

High Energy Physics - Theory · Physics 2009-10-30 David R. Morrison , Cumrun Vafa

We study four-dimensional compactifications of type II superstrings on Calabi-Yau spaces in the hybrid formalism. Chiral and twisted-chiral interactions are rederived, which involve the coupling of the compactification moduli to two powers…

High Energy Physics - Theory · Physics 2007-05-23 J. Kappeli , S. Theisen , P. Vanhove

We test the recently conjectured duality between $N=2$ supersymmetric type II and heterotic string models by analysing a class of higher dimensional interactions in the respective low-energy Lagrangians. These are $F$-terms of the form $F_g…

High Energy Physics - Theory · Physics 2017-01-18 I. Antoniadis , E. Gava , K. S. Narain , T. R. Taylor

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

The non-perturbative equivalence of four-dimensional N=2 superstrings with three vector multiplets and four hypermultiplets is analysed. These models are obtained through freely acting orbifold compactifications from the heterotic, the…

High Energy Physics - Theory · Physics 2014-11-18 A. Gregori , C. Kounnas , P. M. Petropoulos

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

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

In the paper ``Chirality change in string theory'', by Douglas and Zhou, the authors give a list of bundles on a quintic Calabi-Yau threefold. Here we prove the semistability of most of these bundles. This provides examples of string theory…

Algebraic Geometry · Mathematics 2011-01-18 Maria Chiara Brambilla

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 explicitly give the correspondence between spectra of heterotic string theory compactified on $T^2$ and string junctions in type IIB theory compactified on $S^2$.

High Energy Physics - Theory · Physics 2008-11-26 Yosuke Imamura

Hypermultiplet couplings in type IIA string theory on a Calabi-Yau space can be quantum corrected by D2-brane instantons wrapping special Lagrangian cycles. On the other hand, hypermultiplet couplings in the heterotic string on a K3 surface…

High Energy Physics - Theory · Physics 2008-11-26 Nick Halmagyi , Ilarion V. Melnikov , Savdeep Sethi

We offer a derivation of the duality between the topological U(1) gauge theory on a Calabi-Yau 3-fold and the topological A-model on the same manifold. This duality was conjectured recently by Iqbal, Nekrasov, Okounkov, and Vafa. We deduce…

High Energy Physics - Theory · Physics 2008-11-26 Anton Kapustin

We study supervertices in six dimensional (2,0) supergravity theories, and derive supersymmetry non-renormalization conditions on the 4- and 6-derivative four-point couplings of tensor multiplets. As an application, we obtain exact…

High Energy Physics - Theory · Physics 2016-01-27 Ying-Hsuan Lin , Shu-Heng Shao , Yifan Wang , Xi Yin

The dynamics of superstring, supergravity and M theories and their compactifications are probed by studying the various perturbation theories that emerge in the strong and weak coupling limits for various directions in coupling constant…

High Energy Physics - Theory · Physics 2011-05-05 C. M. Hull

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 describe a general method for deducing T-dualities of little string theories, which are dualities between these theories that arise when they are compactified on circle. The method works for both untwisted and twisted circle…

High Energy Physics - Theory · Physics 2024-01-03 Lakshya Bhardwaj