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We analyse the $\alpha'^2$ corrections to the supersymmetry algebra constructed by Bergshoeff--de Roo for heterotic compactifications on SU(3) manifolds. The geometry is complex and conformally balanced. We find an integrability condition…

High Energy Physics - Theory · Physics 2025-08-14 Jock McOrist , Sebastien Picard

In this paper we study compactifications of heterotic string theory on manifolds satisfying the ddbar-lemma. We consider the Strominger system description of the low energy supergravity to first order in alpha' and show that the moduli of…

High Energy Physics - Theory · Physics 2017-12-04 Lara B. Anderson , James Gray , Eric Sharpe

We present an explicit calculation of the spectrum of a general class of string models, corresponding to Calabi-Yau flux compactifications with h_{1,2}>h_{1,1}>1 with leading perturbative and non-perturbative corrections, in which all…

High Energy Physics - Theory · Physics 2010-02-03 Joseph P. Conlon , Fernando Quevedo , Kerim Suruliz

We continue our study of heterotic compactifications on non-Kahler complex manifolds with torsion. We give further evidence of the consistency of the six-dimensional manifold presented earlier and discuss the anomaly cancellation and…

High Energy Physics - Theory · Physics 2010-04-06 Katrin Becker , Melanie Becker , Keshav Dasgupta , Paul S. Green , Eric Sharpe

We describe an $N=2$ heterotic superstring model of rank-3 which is dual to the type-II string compactified on a Calabi-Yau manifold with Betti numbers $b_{1,1}=2$ and $b_{1,2}=86$. We show that the exact duality symmetry found from the…

High Energy Physics - Theory · Physics 2009-10-28 I. Antoniadis , H. Partouche

We investigate quantum corrections to the classical four-dimensional low-energy effective action of type II string theory compactified on SU(3) structure geometries. Various methods previously developed for Calabi-Yau compactifications are…

High Energy Physics - Theory · Physics 2015-06-19 Mariana Grana , Jan Louis , Ulrich Theis , Daniel Waldram

We reconsider the question of which Calabi-Yau compactifications of the heterotic string are stable under world-sheet instanton corrections to the effective space-time superpotential. For instance, compactifications described by (0,2)…

High Energy Physics - Theory · Physics 2010-04-07 Chris Beasley , Edward Witten

We explicitly describe, in the language of four-dimensional N=1 supersymmetric field theory, what happens when the moduli of a heterotic Calabi-Yau compactification change so as to make the internal non-Abelian gauge fields…

High Energy Physics - Theory · Physics 2009-12-15 Lara B. Anderson , James Gray , Andre Lukas , Burt Ovrut

In this paper we consider compactifications of heterotic strings in the presence of background flux. The background metric is a T^2 fibration over a K3 base times four-dimensional Minkowski space. Depending on the choice of three-form flux…

High Energy Physics - Theory · Physics 2011-04-14 Katrin Becker , Chris Bertinato , Yu-Chieh Chung , Guangyu Guo

This review talk focusses on some of the interesting developments in the area of superstring compactification that have occurred in the last couple of years. These include the discovery that ``mirror symmetric" pairs of Calabi--Yau spaces,…

High Energy Physics - Theory · Physics 2007-05-23 John H. Schwarz

Using heterotic/type II string duality, we obtain exact nonperturbative results for the point particle limit (alpha' -> 0) of some particular four dimensional, N=2 supersymmetric compactifications of heterotic strings. This allows us to…

High Energy Physics - Theory · Physics 2009-10-07 S. Kachru , A. Klemm , W. Lerche , P. Mayr , C. Vafa

Compactifications of the physical superstring to two dimensions provide a general template for realizing 2D conformal field theories coupled to worldsheet gravity, i.e. non-critical string theories. Motivated by this observation, in this…

High Energy Physics - Theory · Physics 2016-08-08 Fabio Apruzzi , Falk Hassler , Jonathan J. Heckman , Ilarion V. Melnikov

The universal hypermultiplet arises as a subsector of every Calabi-Yau compactification of M-theory or Type II string theory. Classically its moduli space is the quaternionic space $SU(2,1)/U(2)$. We show that this moduli space receives a…

High Energy Physics - Theory · Physics 2009-09-17 Andrew Strominger

In this note we explore the possible marginal deformations of general (0,2) non-linear sigma-models, which arise as descriptions of the weakly-coupled (large radius) limits of four-dimensional $\mathcal{N}= 1$ compactifications of the…

High Energy Physics - Theory · Physics 2017-10-23 Ido Adam

At the leading order, the low-energy effective field equations in string theory admit solutions of the form of products of Minkowski spacetime and a Ricci-flat Calabi-Yau space. The equations of motion receive corrections at higher orders…

High Energy Physics - Theory · Physics 2009-11-10 H. Lu , C. N. Pope , K. S. Stelle

We search for $N=2$, $d=4$ theories which can be realized both as heterotic string compactifications on $K_{3}\times T^{2}$ and as type II string compactifications on Calabi-Yau threefolds. In such cases, the exact non-perturbative…

High Energy Physics - Theory · Physics 2009-07-09 Shamit Kachru , Cumrun Vafa

We construct heterotic standard models by compactifying on smooth Calabi-Yau three-folds in the presence of purely Abelian internal gauge fields. A systematic search over complete intersection Calabi-Yau manifolds with less than six Kahler…

High Energy Physics - Theory · Physics 2015-05-28 Lara B. Anderson , James Gray , Andre Lukas , Eran Palti

Calabi--Yau compactifications of the $E_8\times E_8$ heterotic string provide a promising route to recovering the four-dimensional particle physics described by the Standard Model. While the topology of the Calabi--Yau space determines the…

High Energy Physics - Theory · Physics 2024-07-22 Per Berglund , Giorgi Butbaia , Tristan Hübsch , Vishnu Jejjala , Damián Mayorga Peña , Challenger Mishra , Justin Tan

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

Modular invariance is known to constrain the spectrum of 2d conformal field theories. We investigate this constraint systematically, using the linear functional method to put new improved upper bounds on the lowest gap in the spectrum. We…

High Energy Physics - Theory · Physics 2015-06-16 Daniel Friedan , Christoph A. Keller