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${\bf Z}_2\times {\bf Z}_2$ Coxeter orbifolds are constructed with the property that some twisted sectors have fixed planes for which the six-torus can not be decomposed into a direct sum ${\bf T}^2\bigoplus{\bf T}^4 $ with the fixed plane…

High Energy Physics - Theory · Physics 2015-06-26 D. Bailin , A. Love , W. A. Sabra , S. Thomas

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

The genus-dependence of multi-loop superstring amplitudes is bounded at large orders in perturbation theory using the super-Schottky group parametrization of supermoduli space. Partial estimates of supermoduli space integrals suggest an…

High Energy Physics - Theory · Physics 2008-02-03 Simon Davis

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

Motivated by a recent construction of non-supersymmetric $\text{AdS}_3$, we revisit the $O(16)\times O(16)$ heterotic string compactified on a torus. The string one-loop potential energy has interesting dependence on the classical moduli;…

High Energy Physics - Theory · Physics 2024-11-21 Bernardo Fraiman , Mariana Graña , Héctor Parra De Freitas , Savdeep Sethi

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

The moduli dependence of $(2,2)$ superstring compactifications based on Calabi--Yau hypersurfaces in weighted projective space has so far only been investigated for Fermat-type polynomial constraints. These correspond to Landau-Ginzburg…

High Energy Physics - Theory · Physics 2014-11-18 P. Berglund , S. Katz , A. Klemm

We find a curious duality between the bosonic sector of heterotic supergravity and the noncritical bosonic string with conformal anomaly. This allows us to map the Mink$_4\times S^3\times S^3$ vacuum of the bosonic string to a new warped…

High Energy Physics - Theory · Physics 2025-03-11 Liang Ma , H. Lu

We show that various disconnected components of the moduli space of superstring vacua with 16 supercharges admit a rationale in terms of BPS un-orientifolds, i.e. type I toroidal compactifications with constant non-vanishing but quantized…

High Energy Physics - Theory · Physics 2014-11-18 Massimo Bianchi

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

A type IIA string (or F-theory) compactified on a Calabi-Yau threefold is believed to be dual to a heterotic string on a K3 surface times a 2-torus (or on a K3 surface). We consider how the resulting moduli space of hypermultiplets is…

High Energy Physics - Theory · Physics 2010-02-03 Paul S. Aspinwall

We study new compactifications of the SO(32) heterotic string theory on compact complex non-Kahler manifolds. These manifolds have many interesting features like fewer moduli, torsional constraints, vanishing Euler character and vanishing…

High Energy Physics - Theory · Physics 2010-02-03 Katrin Becker , Melanie Becker , Keshav Dasgupta , Paul S. Green

In previous works, an operator was developed for heterotic compactifications on $\mathbb{R}^{2,1}\times G_2$ and $AdS_3 \times G_2$, which preserves $N=1$ $d=3$ supersymmetry and whose kernel is related to the moduli of the…

High Energy Physics - Theory · Physics 2025-02-21 Jock McOrist , Martin Sticka , Eirik Eik Svanes

We review several topics of interest in the study of 4d N=1 supersymmetric compactifications of the heterotic string. After a brief introduction to the construction of such models, our focus is on the novel physics which occurs at…

High Energy Physics - Theory · Physics 2009-10-30 Shamit Kachru

Superstring/M-theory compactified on compact Ricci flat manifolds have recently been conjectured to exhibit instabilities whenever the metrics do not have special holonomy. We use worldsheet conformal field theory to investigate…

High Energy Physics - Theory · Physics 2020-10-08 Bobby Samir Acharya , Gerardo Aldazabal , Eduardo Andrés , Anamaría Font , Kumar Narain , Ida G. Zadeh

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

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

We construct a distance on the moduli space of symplectic toric manifolds of dimension four. Then we study some basic topological properties of this space, in particular, path-connectedness, compactness, and completeness. The construction…

Symplectic Geometry · Mathematics 2016-11-03 Álvaro Pelayo , Ana Rita Pires , Tudor S. Ratiu , Silvia Sabatini

We consider the cosmological evolution induced by the free energy F of a gas of maximally supersymmetric heterotic strings at finite temperature and weak coupling in dimension D>=4. We show that F, which plays the role of an effective…

High Energy Physics - Theory · Physics 2011-06-20 John Estes , Lihui Liu , Herve Partouche

We show how one can get solitonic strings in a six-dimensional (2,0) supersymmetric theory by incorporating a nonlinear interaction term. We derive a zero force condition between parallel strings, and compute a metric on a moduli space…

High Energy Physics - Theory · Physics 2009-11-07 Andreas Gustavsson