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We construct solutions to the Strominger system on a class of noncompact Calabi-Yau 3-folds. These spaces include $\mathbb{C}^3$ and resolved conifold $\mathcal{O}(-1,-1)$ as special examples.

微分几何 · 数学 2018-06-05 Teng Fei

Many important ideas about string duality that appear in conventional $\T^2$ compactification have analogs for $\T^2$ compactification without vector structure. We analyze some of these issues and show, in particular, how orientifold planes…

高能物理 - 理论 · 物理学 2010-04-07 Edward Witten

This is a short review of recent constructions of new Calabi-Yau threefolds with small Hodge numbers and/or non-trivial fundamental group, which are of particular interest for model-building in the context of heterotic string theory. The…

高能物理 - 理论 · 物理学 2011-09-08 Rhys Davies

We develop the general tools for model building with orientifolds, including SS supersymmetry breaking. In this paper, we work out the general formulae of the tadpole conditions for a class of non supersymmetric orientifold models of type…

高能物理 - 理论 · 物理学 2008-11-26 P. Anastasopoulos , A. B. Hammou

We obtain a new free field realization of $N=2$ super $W_{3}$ algebra using the technique of quantum hamiltonian reduction. The construction is based on a particular choice of the simple root system of the affine Lie superalgebra…

高能物理 - 理论 · 物理学 2015-06-26 Katsushi Ito , Hiroaki Kanno

Gravitational and gauge anomalies provide stringent constraints on which subset of chiral models can effectively describe M-theory at low energy. In this paper, we explicitly construct an abelian orbifold of M-theory to obtain an N=1,…

高能物理 - 理论 · 物理学 2007-05-23 Charles F. Doran , Michael Faux , Burt A. Ovrut

We construct supersymmetric compactifications of E_8 \times E_8 heterotic string theory which realise exactly the massless spectrum of the Minimal Supersymmetric Standard Model (MSSM) at low energies. The starting point is the standard…

高能物理 - 理论 · 物理学 2012-06-08 Volker Braun , Philip Candelas , Rhys Davies , Ron Donagi

We consider compactification of the SO(32) heterotic string on a 6-dimensional Z_3 orbifold with one discrete Wilson line. A complete set of all possible embeddings is given, 159 in all. The unbroken subgroups of SO(32) are tabulated. The…

高能物理 - 理论 · 物理学 2010-04-05 Joel Giedt

We study a ${{\IZ}}_2$ orbifold of Type 0B string theory by reflection of six of the coordinates (this theory may also be thought of as a ${{\IZ}}_4$ orbifold of Type IIB string theory by a rotation by $\pi$ in three independent planes). We…

高能物理 - 理论 · 物理学 2009-10-31 Igor R. Klebanov , Nikita A. Nekrasov , Samson L. Shatashvili

MSSM-like string models from the compactification of the heterotic string on toroidal orbifolds (of the kind $T^6/P$) have distinct phenomenological properties, like the spectrum of vector-like exotics, the scale of supersymmetry breaking,…

高能物理 - 理论 · 物理学 2020-06-24 Erik Parr , Patrick K. S. Vaudrevange , Martin Wimmer

We generalize to topologically non-trivial gauge configurations the description of the Einstein-Yang-Mills system in terms of a noncommutative manifold, as was done previously by Chamseddine and Connes. Starting with an algebra bundle and a…

数学物理 · 物理学 2011-03-28 Jord Boeijink , Walter D. van Suijlekom

We calculate the moduli dependent part of string one-loop threshold corrections to gauge couplings for the heterotic string theory compactified on abelian toroidal orbifolds, allowing for arbitrary discrete Wilson lines. We show that the…

高能物理 - 理论 · 物理学 2010-01-12 Michael A. Klaput , Christian Paleani

Using Z3 asymmetric orbifolds in heterotic string theory, we construct N=1 SUSY three-generation models with the standard model gauge group SU(3)_C \times SU(2)_L \times U(1)_Y and the left-right symmetric group SU(3)_C \times SU(2)_L…

高能物理 - 理论 · 物理学 2015-06-17 Florian Beye , Tatsuo Kobayashi , Shogo Kuwakino

We investigate coupling selection rules in heterotic string theory on non-Abelian orbifolds. Since boundary conditions on the orbifolds are classified by conjugacy classes of space group elements, non-Abelian orbifolds give rise to…

高能物理 - 理论 · 物理学 2025-09-15 Tatsuo Kobayashi , Ryusei Nishida , Hajime Otsuka

We study heterotic asymmetric orbifold models. By utilizing the lattice engineering technique, we classify (22,6)-dimensional Narain lattices with right-moving non-Abelian group factors which can be starting points for Z3 asymmetric…

高能物理 - 理论 · 物理学 2015-06-15 Florian Beye , Tatsuo Kobayashi , Shogo Kuwakino

A general procedure to reveal an Abelian structure of Yang-Mills theories by means of a (nonlocal) change of variables, rather than by gauge fixing, in the space of connections is proposed. The Abelian gauge group is isomorphic to the…

高能物理 - 理论 · 物理学 2009-10-31 Sergei V. Shabanov

We study the Hamiltonian lattice Yang-Mills theory based on spin networks that provide a useful basis to represent the physical states satisfying the Gauss law constraints. We focus on $\mathrm{SU}(2)$ Yang-Mills theory in $(2+1)$…

高能物理 - 格点 · 物理学 2023-09-20 Tomoya Hayata , Yoshimasa Hidaka

It is shown how string-localized QFT predicts interactions of the Standard Model. Detailed computations are presented for various non-abelian models: Yang-Mills, QCD, Higgs-Kibble. They serve as backup for [11,12] and as "proof of concept"…

高能物理 - 理论 · 物理学 2024-09-19 Karl-Henning Rehren

Recently spatially localized anomalies have been considered in higher dimensional field theories. The question of the quantum consistency and stability of these theories needs further discussion. Here we would like to investigate what…

高能物理 - 理论 · 物理学 2008-11-26 F. Gmeiner , S. Groot Nibbelink , H. P. Nilles , M. Olechowski , M. G. A. Walter

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…

高能物理 - 理论 · 物理学 2009-07-09 Shamit Kachru , Cumrun Vafa