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We derive four dimensional gauge theories with exceptional groups $F_4$, $E_8$, $E_7$, and $E_7$ with matter, by starting from the duality between the heterotic string on $K3$ and F-theory on a elliptically fibered Calabi-Yau 3-fold. This…

High Energy Physics - Theory · Physics 2009-10-30 John Brodie

We investigate exotic supergravity theories in 6D with maximal (4,0) and (3,1) supersymmetry, which were conjectured by C. Hull to exist and to describe strong coupling limits of ${\cal N}=8$ theories in 5D. These theories involve exotic…

High Energy Physics - Theory · Physics 2021-02-10 Yannick Bertrand , Stefan Hohenegger , Olaf Hohm , Henning Samtleben

We present a family of consistent quantum field theories of monodromy quintessence in strong coupling, which can serve as benchmarks in modeling dark energy different from cosmological constant. These theories have discrete gauge symmetries…

High Energy Physics - Theory · Physics 2019-11-13 Guido D'Amico , Nemanja Kaloper , Albion Lawrence

We derive the ten-dimensional effective action of the strongly coupled heterotic string as the low energy limit of M-theory on S^1/Z_2. In contrast to a conventional dimensional reduction, it is necessary to integrate out nontrivial heavy…

High Energy Physics - Theory · Physics 2009-10-31 Andre Lukas , Burt Ovrut , Daniel Waldram

Using E-strings, we can analyze not only six-dimensional superconformal field theories but also probe vacua of non-perturabative heterotic string. We study strings made of D3-branes wrapped on various two-cycles in the global F-theory…

High Energy Physics - Theory · Physics 2017-10-25 Kang-Sin Choi , Soo-Jong Rey

We argue that $\mathcal N=8$ supergravity in four dimensions exhibits an exceptional $E_{8(8)}$ symmetry, enhanced from the known $E_{7(7)}$ invariance. Our procedure to demonstrate this involves dimensional reduction of the $\mathcal N=8$…

High Energy Physics - Theory · Physics 2020-02-25 Sudarshan Ananth , Lars Brink , Sucheta Majumdar

Working within the context of the strongly coupled $E_8\times E_8$ heterotic string theory, we analyze the $B-L$ MSSM, a realistic supersymmetric extension of the Standard Model, from both a low-energy phenomenology and high-energy string…

High Energy Physics - Theory · Physics 2022-06-27 Sebastian Dumitru

In six dimensions, cancellation of gauge, gravitational, and mixed anomalies strongly constrains the set of quantum field theories which can be coupled consistently to gravity. We show that for some classes of six-dimensional supersymmetric…

High Energy Physics - Theory · Physics 2009-10-10 Vijay Kumar , Washington Taylor

We discuss, in the context of the strongly coupled E_8 \times E_8 heterotic string proposed by Horava and Witten, the appearance of anomalous U(1)_X symmetries of a nonperturbative origin, related to the presence, after compactification, of…

High Energy Physics - Theory · Physics 2009-10-07 P. Binetruy , C. Deffayet , E. Dudas , P. Ramond

We determine the maximal gauge groups arising in $E_8$ heterotic string theory on $T^2$. Our analysis proceeds along two approaches. First, we start the moduli space of the supersymmetric heterotic string theory on $T^2$ focusing on points…

High Energy Physics - Theory · Physics 2025-08-12 Yuta Hamada , Arata Ishige , Yuichi Koga

We consider hidden sector supersymmetry breakdown in the strongly coupled heterotic $E_8\times E_8$ theory of Ho\v{r}ava and Witten. Using effective field theory methods in four dimensions, we can show that gravitational interactions induce…

High Energy Physics - Theory · Physics 2009-10-31 H. P. Nilles , M. Olechowski , M. Yamaguchi

One of the dualities in string theory, the F-theory/heterotic string duality in eight dimensions, predicts an interesting correspondence between two seemingly disparate geometrical objects. On one side of the duality there are elliptically…

Algebraic Geometry · Mathematics 2009-11-10 Adrian Clingher , John W. Morgan

We derive the universal threshold corrections in heterotic string theory including a continuous Wilson line. Unification of gauge and gravitational couplings is shown to be possible even within perturbative string theory. The relative…

High Energy Physics - Theory · Physics 2009-10-30 H. P. Nilles , S. Stieberger

We present the maximally supersymmetric three-dimensional gauged supergravities. Owing to the special properties of three dimensions -- especially the on-shell duality between vector and scalar fields, and the purely topological character…

High Energy Physics - Theory · Physics 2010-02-03 H. Nicolai , H. Samtleben

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

In this paper we discuss compactifications of M-theory to four dimensions on X \times S^1/Z_2, in which nonstandard embeddings in the E_8 \times E_8 vacuum gauge bundle are considered. At the level of the effective field theory description…

High Energy Physics - Phenomenology · Physics 2014-11-17 Zygmunt Lalak , Stefan Pokorski , Steven Thomas

Following recent proposal of Dijkgraaf, Verlinde and Verlinde, we show that the M(atrix) theory compactified on $S_1/Z_2$ provides with a non-perturbative description of second-quantized light-cone heterotic string. This so-called heterotic…

High Energy Physics - Theory · Physics 2016-09-06 Soo-Jong Rey

We explore 6d (1,0) superconformal field theories with SU(3) and SU(2) gauge symmetries which cascade after Higgsing to the E-string theory on a single M5 near an $E_8$ wall. Specifically, we study the 2d $\mathcal{N}=(0,4)$ gauge theories…

High Energy Physics - Theory · Physics 2015-10-13 Joonho Kim , Seok Kim , Kimyeong Lee

We study the coupling of axions to gauge bosons in heterotic string theory. The axion-gauge boson couplings in the low energy 4d theory are derived by matching mixed anomalies between higher-form global symmetries and the zero-form gauge…

High Energy Physics - Phenomenology · Physics 2024-10-08 Prateek Agrawal , Michael Nee , Mario Reig

It has been conjectured that Little String Theories in six dimensions are holographic to critical string theory in a linear dilaton background. We test this conjecture for theories arising on the worldvolume of heterotic fivebranes. We…

High Energy Physics - Theory · Physics 2009-10-31 Martin Gremm , Anton Kapustin