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In this informal expository note, we quickly introduce and survey compactifications of strata of holomorphic 1-forms on Riemann surfaces, i.e. spaces of translation surfaces. In the last decade, several of these have been constructed,…

Geometric Topology · Mathematics 2025-06-11 Benjamin Dozier

A compactification of the heterotic string is considered which describes a particle propagating in the symmetric space M = SO(9,1;Z)\SO(9,1;R)/SO(9;R) in interaction with excited states whose dynamics is (1+1)-dimensional. The model appears…

High Energy Physics - Theory · Physics 2009-10-30 Michael B. Green , David Kutasov

We present the construction of exactly solvable superconformal field theories describing Type II string models compactified on compact G_2 manifolds. These models are defined by anti-holomorphic quotients of the form (CY*S^1)/Z_2, where we…

High Energy Physics - Theory · Physics 2010-02-03 Ralph Blumenhagen , Volker Braun

We study supersymmetric compactification to four dimensions with non-zero H-flux in heterotic string theory. The background metric is generically conformally balanced and can be conformally Kahler if the primitive part of the H-flux…

High Energy Physics - Theory · Physics 2008-11-26 Katrin Becker , Li-Sheng Tseng

Configurations of two or more branes wrapping different homology cycles of space-time are considered and the amount of supersymmetry preserved is analysed, generalising the analysis of multiple branes in flat space. For K3…

High Energy Physics - Theory · Physics 2009-09-17 Mirjam Cvetic , Christopher M. Hull

The moduli spaces of two (0,2) compactifications of the heterotic string can share the same Landau-Ginzburg model even though at large radius they look completely different. It was argued that such a pair of (0,2) models might be connected…

High Energy Physics - Theory · Physics 2009-10-30 Ralph Blumenhagen

In this work we attempt to bridge the gap between heterotic orbifold models and Calabi-Yau compactifications using gauged linear sigma models (GLSMs) with (2,0) worldsheet supersymmetry. We associate a specific GLSM to a heterotic orbifold…

High Energy Physics - Theory · Physics 2015-05-20 Stefan Groot Nibbelink

These lectures begin by reviewing the evidence for S duality of the toroidally compactified heterotic string in 4d that was obtained in the period 1992--94. Next they review recently discovered dualities that relate all five of the 10d…

High Energy Physics - Theory · Physics 2010-11-19 John H. Schwarz

In arXiv:0902.4032 [hep-th] an O(D,D)-covariant sigma model describing the embedding of a closed world-sheet into the 2D-dimensional twisted torus was proposed. Such sigma models provide a universal description of string theory with target…

High Energy Physics - Theory · Physics 2009-07-22 R A Reid-Edwards

We study a class of flux compactifications that have all the moduli stabilised, a high (GUT) string scale and a low (TeV) gravitino mass that is generated dynamically. These non-geometric compactifications correspond to type II string…

High Energy Physics - Theory · Physics 2009-04-30 Eran Palti

We study spontaneous gauge symmetry breaking in the framework of orbifold compactifcations of heterotic string theory. In particular we investigate the electroweak symmetry breakdown via the Higgs mechanism. Such a breakdown can be achieved…

High Energy Physics - Theory · Physics 2009-11-11 Stefan Forste , Hans Peter Nilles , Akin Wingerter

We construct heterotic string theories on spacetimes of the form R^{d-1,1} times N=2 linear dilaton, where d=6,4,2,0. There are two lines of supersymmetric theories descending from the two supersymmetric ten-dimensional heterotic theories.…

High Energy Physics - Theory · Physics 2009-11-11 Sameer Murthy

In this lecture I summarize recent developments on strings propagating in curved spacetime. Exact conformal field theories that describe gravitational backgrounds such as black holes and more intricate gravitational singularities have been…

High Energy Physics - Theory · Physics 2008-02-03 Itzhak Bars

These notes present a pedagogical review of nongeometric flux compactifications. We begin by reviewing well-known geometric flux compactifications in Type II string theory, and argue that one must include nongeometric "fluxes" in order to…

High Energy Physics - Theory · Physics 2008-11-26 Brian Wecht

F-theory compactified on singular, elliptically fibered Calabi-Yau five-folds gives rise to two-dimensional gauge theories preserving N=(0,2) supersymmetry. In this paper we initiate the study of such compactifications and determine the…

High Energy Physics - Theory · Physics 2017-01-11 Sakura Schafer-Nameki , Timo Weigand

This talk adapts the available formalism to study a class of heterotic M-theory vacua with SO(10) grand unification group. Compactification to four dimensions with N = 1 supersymmetry is achieved on a torus fibered Calabi-Yau 3-fold Z = X /…

High Energy Physics - Theory · Physics 2007-05-23 Richard S. Garavuso

We construct an explicit and manifestly (1,0) heterotic sigma-model where the background fields are those of 10D, N=IIB supergravity.

High Energy Physics - Theory · Physics 2019-08-15 S. James Gates , V. G. J. Rodgers

In this paper we describe ideas about the string landscape, and how to relate it to the physics of the Standard Model of particle physics. First, we give a short status report about heterotic string compactifications. Then we focus on the…

High Energy Physics - Theory · Physics 2016-11-15 Dieter Lust

We describe a class of (2,2) superconformal field theories obtained by fibering a Landau-Ginzburg orbifold CFT over a compact Kaehler base manifold. While such models are naturally obtained as phases in a gauged linear sigma model, our…

High Energy Physics - Theory · Physics 2015-06-16 Marco Bertolini , Ilarion V. Melnikov , M. Ronen Plesser

In this thesis, we explore two approaches to string phenomenology. In the first half of the work, we investigate M-theory compactifications on spaces with co-dimension four, orbifold singularities. We construct M-theory on C^2/Z_N by…

High Energy Physics - Theory · Physics 2008-08-28 Lara B. Anderson