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We discuss an orbifold of the toroidally compactified heterotic string which gives a global reduction of the dimension of the moduli space while preserving the supersymmetry. This construction yields the moduli space of the first of a…

High Energy Physics - Theory · Physics 2009-10-09 S. Chaudhuri , J. Polchinski

Main objective of the present dissertation is the investigation for all the possible low energy models which emerge in four dimensions by the dimensional reduction of a gauge theory over multiple connected coset spaces. The higher…

High Energy Physics - Theory · Physics 2009-03-15 Theodoros Grammatikopoulos

In the framework of the four dimensional heterotic superstring with free world-sheet fermions we study the GUSTs which contain non-abelian horizontal symmetry. To solve the problem of breaking the G_GUT gauge symmetry of the level one…

High Energy Physics - Theory · Physics 2007-05-23 H. D. Dahmen , A. A. Maslikov , I. A. Naumov , T. Stroh , G. G. Volkov

In recent scans of 4D F-theory geometric models, it was shown that a dominant majority of the base geometries only support SU(2), $G_2$, $F_4$ and $E_8$ gauge groups. Moreover, most of these gauge groups are shown to couple to strongly…

High Energy Physics - Theory · Physics 2019-02-25 Jiahua Tian , Yi-Nan Wang

Gravity duals for little string theories --- which give rise to four-dimensional theories that undergo permanent confinement in the infrared --- have not been studied in great detail. We address this question in the framework of heterotic…

High Energy Physics - Theory · Physics 2013-09-11 Fang Chen , Keshav Dasgupta , Joshua M. Lapan , Jihye Seo , Radu Tatar

In this paper we study the structure of the Hilbert space for the recent noncommutative geometry models of gauge theories. We point out the presence of unphysical degrees of freedom similar to the ones appearing in lattice gauge theories…

High Energy Physics - Theory · Physics 2010-11-19 F. Lizzi , G. Mangano , G. Miele , G. Sparano

Certain four-dimensional $N=4$ supersymmetric theories have special vacua in which massive charged vector supermultiplets become massless, resulting in an enhanced non-abelian gauge symmetry. We show here that any two $N=4$ theories having…

High Energy Physics - Theory · Physics 2009-10-28 C. M. Hull , P. K. Townsend

We settle a long-standing question about the hypermultiplet moduli spaces of the heterotic strings on ALE singularities. These heterotic backgrounds are specified by the singularity type, an instanton number, and a (nontrivial) flat…

High Energy Physics - Theory · Physics 2024-01-24 Michele Del Zotto , Marco Fazzi , Suvendu Giri

We present a prescription in F-theory for realizing matter in "exotic" representations of product gauge groups. For 6D vacua, bifundamental hypermultiplets are engineered by starting at a singular point in moduli space which includes 6D…

High Energy Physics - Theory · Physics 2018-11-14 Mirjam Cvetič , Jonathan J. Heckman , Ling Lin

6-dimensional superconformal field theories are exotic and fascinating. They emerge from compactifications of F-theory on Calabi-Yau elliptic fibrations, which grants them a rich array of dualities with various other formulations of string…

High Energy Physics - Theory · Physics 2024-02-12 David Jaramillo Duque

The presence of non-Abelian discrete gauge symmetries in four-dimensional F-theory compactifications is investigated. Such symmetries are shown to arise from seven-brane configurations in genuine F-theory settings without a weak string…

High Energy Physics - Theory · Physics 2016-03-23 Thomas W. Grimm , Tom G. Pugh , Diego Regalado

We analyze in detail the anomaly cancellation conditions for the strongly coupled $E_8 \times E_8$ heterotic string introduced by Horava and Witten and find new features compared to the ten-dimensional Green-Schwarz mechanism. We project…

High Energy Physics - Theory · Physics 2009-10-30 E. Dudas , J. Mourad

In heterotic string theories consistency requires the introduction of a non-trivial vector bundle. This bundle breaks the original ten-dimensional gauge groups $\text{E}_8\times\text{E}_8$ or $\text{SO}(32)$ for the supersymmetric heterotic…

High Energy Physics - Theory · Physics 2016-03-31 Stefan Groot Nibbelink , Fabian Ruehle

We present a few remarks on disconnected components of the moduli space of heterotic string compactifications on $T_2$. We show in particular how the eight dimensional CHL heterotic string can be understood in terms of topologically…

High Energy Physics - Theory · Physics 2010-11-19 W. Lerche , R. Minasian , C. Schweigert , S. Theisen

We consider tachyon condensation in unstable ten-dimensional heterotic string theory with gauge group E8. In the background of a lightlike linear dilaton rolling to weak coupling, we find an exact solution in which the theory decays to a…

High Energy Physics - Theory · Physics 2008-04-29 Simeon Hellerman , Ian Swanson

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…

High Energy Physics - Theory · Physics 2010-04-05 Joel Giedt

A rich pattern of gauge symmetries is found in the moduli space of heterotic string toroidal compactifications, at fixed points of the T-duality transformations. We analyze this pattern for generic tori, and scrutinize in full detail…

High Energy Physics - Theory · Physics 2018-10-17 Bernardo Fraiman , Mariana Graña , Carmen A. Núñez

The SO(32) heterotic string on a K3 surface is analyzed in terms of the dual theory of a type II string (or F-theory) on an elliptically fibred Calabi-Yau manifold. The results are in beautiful agreement with earlier work by Witten using…

High Energy Physics - Theory · Physics 2019-08-15 Paul S. Aspinwall , Mark Gross

M-theory geometric engineering on manifolds of special holonomy yields a rich class of novel field theories. In this paper, we construct new 3d $\mathcal{N}=2^{\ast}$ and $\mathcal{N}=4^{\ast}$ gauge theories, realized as mass-deformations…

High Energy Physics - Theory · Physics 2026-03-26 Marwan Najjar

After simultaneous compactification of spacetime and worldvolume on $K3$, the $D=10$ heterotic fivebrane with gauge group $SO(32)$ behaves like a $D=6$ heterotic string with gauge group $SO(28) \times SU(2)$, but with Kac--Moody levels…

High Energy Physics - Theory · Physics 2009-10-28 M. J. Duff , R. Minasian