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The four- and five-dimensional effective actions of Calabi-Yau threefold compactifications are derived with a focus on terms involving up to four space-time derivatives. The starting points for these reductions are the ten- and…

High Energy Physics - Theory · Physics 2018-04-04 Thomas W. Grimm , Kilian Mayer , Matthias Weissenbacher

We extend the investigation of special toroidal compactifications of heterotic string theory for which the half-BPS states provide representations of subgroups of the Conway group. We also explore dual descriptions of these theories and…

High Energy Physics - Theory · Physics 2022-04-13 Zihni Kaan Baykara , Jeffrey A. Harvey

We calculate couplings of arbitrary order from correlation functions among twisted strings, using conformal field theory. Twisted strings arise in heterotic string compactified on orbifolds yielding matter fields in the low energy limit. We…

High Energy Physics - Theory · Physics 2008-11-26 Kang-Sin Choi , Tatsuo Kobayashi

We derive the basic correlation functions of twist fields coming from arbitrary twisted sectors in symmetric $Z_N$ orbifold conformal field theories, keeping all the admissible marginal perturbations, in particular those corresponding to…

High Energy Physics - Theory · Physics 2009-10-22 J. Erler , D. Jungnickel , M. Spalinski , S. Stieberger

After a brief introduction into the use of Calabi--Yau varieties in string dualities, and the role of toric geometry in that context, we review the classification of toric Calabi-Yau hypersurfaces and present some results on complete…

High Energy Physics - Theory · Physics 2011-07-19 Maximilian Kreuzer

We study the type II string theories compactified on manifolds of $G_2$ holonomy of the type $({Calabi-Yau 3-fold} \times S^1)/\bz_2$ where $CY_3$ sectors realized by the Gepner models. We construct modular invariant partition functions for…

High Energy Physics - Theory · Physics 2010-11-19 Tohru Eguchi , Yuji Sugawara

We derive an approximate analytic relation between the number of consistent heterotic Calabi-Yau compactifications of string theory with the exact charged matter content of the standard model of particle physics and the topological data of…

High Energy Physics - Theory · Physics 2019-04-03 Andrei Constantin , Yang-Hui He , Andre Lukas

Recently, string theory on Calabi--Yau manifolds was constructed and was shown to be a fully consistent, space--time supersymmetric string theory. The physically interesting case is the case of three generations. Intriguingly, it appears at…

High Energy Physics - Theory · Physics 2007-05-23 Doron Gepner

We write down charged macroscopic string solutions in type II string theories, compactified on torii, and present an explicit solution of the spinor Killing equations to show that they preserve 1/2 of the type II supersymmetries. The…

High Energy Physics - Theory · Physics 2010-02-03 Alok Kumar

This thesis contributes with a number of topics to the subject of string compactifications. In the first half of the work, I discuss the Hodge plot of Calabi-Yau threefolds realised as hypersurfaces in toric varieties. The intricate…

High Energy Physics - Theory · Physics 2018-09-28 Andrei Constantin

We study infinite distance limits in the complex structure moduli space of Type IIB compactifications on Calabi--Yau threefolds, in light of the Emergent String Conjecture. We focus on the so-called type II limits, which, based on the…

High Energy Physics - Theory · Physics 2026-01-30 Bjoern Hassfeld , Jeroen Monnee , Timo Weigand , Max Wiesner

The strong coupling dynamics of string theories in dimension $d\geq 4$ are studied. It is argued, among other things, that eleven-dimensional supergravity arises as a low energy limit of the ten-dimensional Type IIA superstring, and that a…

High Energy Physics - Theory · Physics 2010-04-07 Edward Witten

In this paper we show how S-duality of type IIB superstrings leads to an S-duality relating A and B model topological strings on the same Calabi-Yau as had been conjectured recently: D-instantons of the B-model correspond to A-model…

High Energy Physics - Theory · Physics 2016-09-06 N. Nekrasov , H. Ooguri , C. Vafa

In this lecture we summarize some recent work on the understanding of instanton effects in string theories with 16 supersymmetries. In particular, we consider F^4 couplings using the duality between the heterotic string on T^4 and type IIA…

High Energy Physics - Theory · Physics 2015-06-25 N. A. Obers , B. Pioline

We explicitly evaluate the low energy coupling $F_g$ in a $d=4,\mathcal{N}=2$ compactification of the heterotic string. The holomorphic piece of this expression provides the information not encoded in the holomorphic anomaly equations, and…

High Energy Physics - Theory · Physics 2017-09-07 Marcos Marino , Gregory Moore

We work out the relation between automorphic forms on SO(s+2,2) and gauge one-loop corrections of heterotic K3 x T^2 string compactifications for the cases s=0,1. We find that one-loop gauge corrections of any orbifold limit of K3 can…

High Energy Physics - Theory · Physics 2008-11-26 S. Stieberger

We investigate the perturbative and non-perturbative correspondence of a class of four dimensional dual string constructions with N=4 and N=2 supersymmetry, obtained as Z_2 or Z_2 x Z_2 orbifolds of the type II, heterotic and type I string.…

High Energy Physics - Theory · Physics 2010-02-03 Andrea Gregori

Type IIB strings are compactified on a Calabi-Yau three-fold. When Calabi-Yau-valued expectation values are given to the NS-NS and RR three-form field strengths, the dilaton hypermultiplet becomes both electrically and magnetically charged.…

High Energy Physics - Theory · Physics 2009-10-30 Jeremy Michelson

We study the duality between M-theory compactified on Calabi-Yau fourfolds and the heterotic string compactified on Calabi-Yau threefolds times a circle. Our analysis is based on a comparison of the low energy effective actions in three…

High Energy Physics - Theory · Physics 2007-05-23 Michael Haack , Jan Louis

Type IIB string theory admits a BPS configuration in which three strings (of different type) meet at a point. Using this three string configuration we construct a string network and study its properties. In particular we prove supersymmetry…

High Energy Physics - Theory · Physics 2009-10-30 Ashoke Sen