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We discuss some possible relationships in gauge theories, string theory and M theory in the light of some recent results obtained in gauge invariant supersymmetric quantum mechanics. In particular this reveals a new relationship between the…

High Energy Physics - Theory · Physics 2009-10-31 Ian I. Kogan , John F. Wheater

We show that the F-theory dual of the heterotic string with unbroken Spin(32)/Z_2 symmetry in eight dimensions can be described in terms of the same polyhedron that can also encode unbroken E_8\times E_8 symmetry. By considering particular…

High Energy Physics - Theory · Physics 2009-10-30 Philip Candelas , Harald Skarke

We study $SO(32)$ heterotic string theory on torus with magnetic fluxes. Non-vanishing fluxes can lead to non-universal gauge kinetic functions for $SU(3) \times SU(2) \times U(1)_Y$ which is the important features of $SO(32)$ heterotic…

High Energy Physics - Phenomenology · Physics 2016-06-21 Hiroyuki Abe , Tatsuo Kobayashi , Hajime Otsuka , Yasufumi Takano , Takuya H. Tatsuishi

We investigate gaugino condensation in the framework of the strongly coupled heterotic $E_8 \times E_8$ string (M--theory). Supersymmetry is broken in a hidden sector and gravitational interactions induce soft breaking parameters in the…

High Energy Physics - Theory · Physics 2009-10-30 H. P. Nilles , M. Olechowski , M. Yamaguchi

We consider the 5-brane placed at one end of the world in the Heterotic $E_8 \times E_8$ theory. The low energy theory is a 6 dimensional $(1,0)$ superconformal theory with $E_8$ as a global symmetry. We calculate the two-point correlator…

High Energy Physics - Theory · Physics 2007-05-23 Morten Krogh

Orbifold compactification of heterotic E8 x E8 string theory is a source for promising grand unified model building. It can accommodate the successful aspects of grand unification while avoiding problems like doublet-triplet splitting in…

High Energy Physics - Theory · Physics 2008-11-26 Stefan Forste , Hans Peter Nilles , Patrick K. S. Vaudrevange , Akin Wingerter

The strong coupling dynamics of string theories in dimension $d\geq 4$ are studied. It is argued, among other things, that eleven-dimensional supergravity arises as a low energy limit of the ten-dimensional Type IIA superstring, and that a…

High Energy Physics - Theory · Physics 2010-04-07 Edward Witten

We obtain the elliptic curve and the Seiberg-Witten differential for an $N=2$ superconformal field theory which has an $E_8$ global symmetry at the strong coupling point $\tau=e^{\pi i/3}$. The differential has 120 poles corresponding to…

High Energy Physics - Theory · Physics 2016-09-06 Joseph A. Minahan , Dennis Nemeschansky

The paper presents a general theory of coupling of eigenvalues of complex matrices of arbitrary dimension depending on real parameters. The cases of weak and strong coupling are distinguished and their geometric interpretation in two and…

Mathematical Physics · Physics 2007-05-23 A. A. Mailybaev , O. N. Kirillov , A. P. Seyranian

We show that the Higgs branch of a four-dimensional Yang-Mills theory, with gauge and matter content summarised by an E_8 quiver diagram, is identical to the generalised Coulomb branch of a four-dimensional superconformal strongly coupled…

High Energy Physics - Theory · Physics 2010-02-03 Cecilia Albertsson , Bjorn Brinne , Ulf Lindstrom , Rikard von Unge

We propose a supergravity model that contains elements recently shown to arise in the strongly-coupled limit of the $E_8\times E_8$ heterotic string (M-theory), including a no-scale--like K\"ahler potential, the identification of the string…

High Energy Physics - Phenomenology · Physics 2009-10-30 T. Li , J. Lopez , D. Nanopoulos

Recently a concise expression for the subleading infrared singularity of dimensional-regularized gauge theories has been proposed. For conformal theories, such relation involves a universal eikonal contribution plus a non-eikonal…

High Energy Physics - Theory · Physics 2009-07-22 Luis F. Alday

U(1) gauge symmetries in F-theory are expected to manifest themselves as codimension three singularities of Calabi-Yau fourfolds. However, some of these are known to become massive at strong coupling via the St\"uckelberg mechanism. In this…

High Energy Physics - Theory · Physics 2015-06-18 Andreas P. Braun , Andres Collinucci , Roberto Valandro

Gauge coupling unification is studied within the framework where there are extra Higgs doublets and $E_6$ exotic fields. Supersymmetric models and nonsupersymmetric models are investigated, and a catalog of models with gauge coupling…

High Energy Physics - Phenomenology · Physics 2016-06-09 Junpei Harada

A formulation of new six-dimensional theories with (1,0) supersymmetry and E_8 global symmetry is proposed. The model is based on the large n theory describing n D-strings interacting with parallel D-fivebranes in Type I string theory.

High Energy Physics - Theory · Physics 2009-10-30 David A. Lowe

We consider heterotic string theories in nine and eight dimensions. We identify the disconnected part of the spacetime gauge group by studying the outer automorphism of the charge lattices. The absence of the global symmetry indicates the…

High Energy Physics - Theory · Physics 2025-10-08 Yuta Hamada , Arata Ishige

The motivation for Calabi-Yau-like compactifications of the weakly coupled $E_8\otimes E_8$ heterotic string theory, its particle spectrum and the issue of dilaton stabilization are briefly reviewed. Modular invariant models for hidden…

High Energy Physics - Phenomenology · Physics 2009-11-11 Mary K. Gaillard

We study a class of extremal transitions between topological distinct Calabi--Yau manifolds which have an interpretation in terms of the special massless states of a type II string compactification. In those cases where a dual heterotic…

High Energy Physics - Theory · Physics 2009-10-30 A. Klemm , P. Mayr

Both the supersymmetric $SO(32)$ and $E_8\times E_8$ heterotic strings in ten dimensions have known strong-coupling duals. However, it has not been known whether there also exist strong-coupling duals for the non-supersymmetric heterotic…

High Energy Physics - Theory · Physics 2009-08-18 Julie D. Blum , Keith R. Dienes

On compactification to six spacetime dimensions, the fundamental heterotic string admits as a soliton a dual string whose effective worldsheet action couples to the background fields of the dual formulation of six-dimensional supergravity.…

High Energy Physics - Theory · Physics 2010-11-01 M. J. Duff