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We construct an MSSM with three generations from the heterotic string compactified on a smooth 6D internal manifold using Abelian gauge fluxes only. The compactification space is obtained as a resolution of the T6/Z2xZ2xZ2-free orbifold.…

High Energy Physics - Theory · Physics 2010-09-22 Michael Blaszczyk , Stefan Groot Nibbelink , Fabian Ruehle , Michele Trapletti , Patrick K. S. Vaudrevange

Two-dimensional sigma-models describing superstrings propagating on manifolds of special holonomy are characterized by symmetries related to covariantly constant forms that these manifolds hold, which are generally non-linear and close in a…

High Energy Physics - Theory · Physics 2007-05-23 Vid Stojevic

We analyze the timelike supersymmetric solutions of minimal gauged 5-dimensional supergravity for the case in which the K\"ahler base manifold admits a holomorphic isometry and depends on two real functions satisfying a simple second-order…

High Energy Physics - Theory · Physics 2017-04-26 Samuele Chimento , Tomas Ortin

The worldvolume theory of D3-branes probing four D7-branes and an O7-plane on $\mathbb{C}^2/\mathbb{Z}_2$ is given by a supersymmetric USp x USp gauge theory. We demonstrate that, at least for a particular choice of the holonomy at…

High Energy Physics - Theory · Physics 2019-08-19 Yuji Tachikawa

We construct new explicit metrics on complete non-compact Riemannian 8-manifolds with holonomy Spin(7). One manifold, which we denote by A_8, is topologically R^8 and another, which we denote by B_8, is the bundle of chiral spinors over…

High Energy Physics - Theory · Physics 2016-09-06 M. Cvetic , G. W. Gibbons , H. Lu , C. N. Pope

We classify all the $6$-dimensional unimodular Lie algebras $\mathfrak{g}$ admitting a complex structure with non-zero closed $(3,0)$-form. This gives rise to $6$-dimensional compact homogeneous spaces $M=\Gamma\backslash G$, where $\Gamma$…

Differential Geometry · Mathematics 2023-05-05 A. Otal , L. Ugarte

Type II string theory compactified on a Calabi-Yau manifold, with a singularity modeled by a hypersurface in an orbifold, is considered. In the limit of vanishing string coupling, one expects a non gravitational theory concentrated at the…

High Energy Physics - Theory · Physics 2010-02-03 Oskar Pelc

CHL compactifications are supersymmetry preserving orbifolds of any perturbatively renormalizable and ultraviolet finite ground state of the perturbative string theories: heterotic, type I, or type II, preserving 32, 16, 12, 8, 4, (or zero)…

High Energy Physics - Theory · Physics 2007-05-23 Shyamoli Chaudhuri

We perform a systematic analysis of moduli stabilisation for weakly coupled heterotic string theory compactified on manifolds which are Calabi-Yau up to alpha' effects. We review how to fix all geometric and bundle moduli in a…

High Energy Physics - Theory · Physics 2015-06-15 Michele Cicoli , Senarath de Alwis , Alexander Westphal

We prove, under suitable global assumptions, that the only heterotic horizons with closed 3-form field strength that preserve strictly 6 supersymmetries have spatial horizon section diffeomorphic to either $SU(3)$ or $S^2\times S^3\times…

High Energy Physics - Theory · Physics 2026-04-03 Georgios Papadopoulos

We obtain a $\frac 14$-supersymmetric 6-brane solution of IIA Supergravity by T-dualizing the supertube recently found. The resulting $C_{\it 1}$ electric charge is related to the original $D0$-brane charge. The uplifted solution to eleven…

High Energy Physics - Theory · Physics 2009-08-13 Nicolás E. Grandi , Adrián R. Lugo

We classify $7$-dimensional Riemannian manifolds carrying a metric connection with parallel skew-symmetric torsion whose holonomy is contained in $\mathrm{G}_2$, up to naturally reductive homogeneous spaces and nearly parallel…

Differential Geometry · Mathematics 2026-04-08 Andrei Moroianu , Uwe Semmelmann

The heterotic $SU(3)$ system, also known as the Hull--Strominger system, arises from compactifications of heterotic string theory to six dimensions. This paper investigates the local structure of the moduli space of solutions to this system…

Differential Geometry · Mathematics 2025-03-31 Hannah de Lázari , Jason D. Lotay , Henrique Sá Earp , Eirik Eik Svanes

We study two classes of static uniform black string solutions in a (4+1)-dimensional SU(2) Einstein-Yang-Mills model. These configurations possess a regular event horizon and corresponds in a 4-dimensional picture to axially symmetric black…

High Energy Physics - Theory · Physics 2013-05-29 Y. Brihaye , B. Hartmann , E. Radu

We study the problem of string propagation in a general instanton background for the case of the complete heterotic superstring. We define the concept of generalized HyperK\" ahler manifolds and we relate it to (4,4) superconformal…

High Energy Physics - Theory · Physics 2009-10-22 M. Billo' , P. Fre' , L. Girardello , A. Zaffaroni

We obtain smooth M-theory solutions whose geometry is a warped product of AdS_5 and a compact internal space that can be viewed as an S^4 bundle over S^2. The bundle can be trivial or twisted, depending on the even or odd values of the two…

High Energy Physics - Theory · Physics 2010-04-05 S. Cucu , H. Lu , J. F. Vazquez-Poritz

We study the singularities of the Higgs branch of supersymmetric U(1)^r gauge theories with eight supercharges. We derive new solutions for the moduli space of vacua preserving manifestly the eight supercharges by using a geometric…

High Energy Physics - Theory · Physics 2009-10-31 A. Belhaj , E. H. Saidi

We perform model searches on smooth Calabi-Yau compactifications for both the supersymmetric E8xE8 and SO(32) as well as for the non-supersymmetric SO(16)xSO(16) heterotic strings simultaneously. We consider line bundle backgrounds on both…

High Energy Physics - Theory · Physics 2016-01-20 Stefan Groot Nibbelink , Orestis Loukas , Fabian Ruehle

The supersymmetric flipped $SU(6)\times U(1)$ gauge symmetry can arise through compactification of the ten dimensional $E_8\times E_8$ superstring theory. We show how realistic phenomenology can emerge from this theory by supplementing it…

High Energy Physics - Phenomenology · Physics 2011-05-12 Qaisar Shafi , Zurab Tavartkiladze

Let M_0=G_0/H be a (pseudo)-Riemannian homogeneous spin manifold, with reductive decomposition g_0=h+m and let S(M_0) be the spin bundle defined by the spin representation Ad:H->\GL_R(S) of the stabilizer H. This article studies the…

Differential Geometry · Mathematics 2013-07-04 Andrea Santi
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