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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,…

High Energy Physics - Theory · Physics 2007-05-23 Charles F. Doran , Michael Faux , Burt A. Ovrut

We classify the allowed structures of the discrete 1-form gauge sector in six-dimensional supergravity theories realized as F-theory compactifications. This provides upper bounds on the 1-form gauge factors $\mathbb{Z}_m$ and in particular…

High Energy Physics - Theory · Physics 2022-12-23 Seung-Joo Lee , Paul-Konstantin Oehlmann

Many four-dimensional supersymmetric compactifications of F-theory contain gauge groups that cannot be spontaneously broken through geometric deformations. These "non-Higgsable clusters" include realizations of $SU(3)$, $SU(2)$, and $SU(3)…

High Energy Physics - Theory · Physics 2015-06-23 Antonella Grassi , James Halverson , Julius Shaneson , Washington Taylor

We study 4D F-theory compactifications on singular Calabi-Yau fourfolds with fluxes. The resulting N=1 effective theories can admit non-Abelian and U(1) gauge groups as well as charged chiral matter. In these setups we analyze anomaly…

High Energy Physics - Theory · Physics 2015-06-11 Mirjam Cvetič , Thomas W. Grimm , Denis Klevers

We explore 6-dimensional compactifications of F-theory exhibiting (2,0) superconformal theories coupled to gravity that include discretely charged superconformal matter. Beginning with F-theory geometries with Abelian gauge fields and…

High Energy Physics - Theory · Physics 2018-07-17 Lara B. Anderson , Antonella Grassi , James Gray , Paul-Konstantin Oehlmann

We study low energy implications of F-theory GUT models based on $SU(5)$ extended by a $U(1)'$ symmetry which couples non-universally to the three families of quarks and leptons. This gauge group arises naturally from the maximal…

High Energy Physics - Phenomenology · Physics 2021-02-02 A. Karozas , G. K. Leontaris , I. Tavellaris , N. D. Vlachos

Supersymmetric models in which the gauginos acquire Dirac masses, rather than Majorana masses, offer an appealing alternative to the minimal supersymmetric standard model, especially in the light of the bounds set on superpartner masses by…

High Energy Physics - Theory · Physics 2012-10-22 Rhys Davies

The purpose of this note is to extend the results obtained in [arXiv:1303.6970] in two ways. First, the six-dimensional F-theory compactifications with U(1) x U(1) gauge symmetry on elliptic Calabi-Yau threefolds, constructed as a…

High Energy Physics - Theory · Physics 2015-06-16 Mirjam Cvetic , Denis Klevers , Hernan Piragua

Recent studies (arXiv:1610.07916, arXiv:1711.07921, arXiv:1807.00186) of six-dimensional supersymmetric gauge theories that are engineered by a class of toric Calabi-Yau threefolds $X_{N,M}$, have uncovered a vast web of dualities. In this…

High Energy Physics - Theory · Physics 2019-11-19 Brice Bastian , Stefan Hohenegger

F-theory compactified on singular, elliptically fibered Calabi-Yau five-folds gives rise to two-dimensional gauge theories preserving N=(0,2) supersymmetry. In this paper we initiate the study of such compactifications and determine the…

High Energy Physics - Theory · Physics 2017-01-11 Sakura Schafer-Nameki , Timo Weigand

Starting with a N=4 supersymmetric Yang-Mills theory in four dimensions with gauge group SU(3N) we perform an orbifold projection leading to a N=1 supersymmetric SU(N)^3 Yang-Mills theory with matter supermultiplets in bifundamental…

High Energy Physics - Theory · Physics 2010-08-25 Athanasios Chatzistavrakidis , Harold Steinacker , George Zoupanos

We discuss a new perspective on the dualities among seven-dimensional M-theory on elliptically fibered K3 surfaces, eight-dimensional (8D) heterotic strings on $T^2$, and 8D F-theory on elliptic K3 surfaces. There are several distinct…

High Energy Physics - Theory · Physics 2024-03-27 Yusuke Kimura

We present a model of partial compositeness arising as the IR limit of a SU(4) gauge theory with only fermionic matter. This group is one of the most promising ones among a handful of possible choices allowing a symmetry breaking pattern…

High Energy Physics - Phenomenology · Physics 2015-06-19 Gabriele Ferretti

We describe a 4D U(1) lattice gauge theory with charged scalar $\phi$ and fermion $\chi$ matter fields ($\chi U \phi$ model). At sufficiently strong gauge coupling, the chiral symmetry is broken and the mass of the unconfined composite…

High Energy Physics - Lattice · Physics 2009-10-31 W. Franzki , J. Jersak

We construct new F-theory vacua in 8-dimensions. They are coming by projective realizations of F-theory on $K_3$ surfaces admitting double covers onto $\P^2$, branched along a plane sextic curve, the so called double sextics. The new vacua…

High Energy Physics - Theory · Physics 2007-05-23 Christos Epameinonda Kokorelis

In a class of F-theory SU(5) GUTs the low energy chiral mass spectrum is obtained from rank one fermion mass textures with a hierarchical structure organised by U(1) symmetries embedded in the exceptional E_8 group. In these theories chiral…

High Energy Physics - Phenomenology · Physics 2015-05-27 G. K. Leontaris , N. D. Tracas , G. Tsamis

Despite much recent progress in model building with D-branes, it has been problematic to find a completely convincing explanation of gauge coupling unification. We extend the class of models by considering F-theory compactifications, which…

High Energy Physics - Theory · Physics 2012-04-04 Ron Donagi , Martijn Wijnholt

We construct the ultraviolet completion of the Standard Model that contains an infinite sequence of Hypercolor gauge groups. So, the whole gauge group of the theory is $... \otimes SU(5)\otimes SU(4) \otimes SU(3) \otimes SU(2) \otimes…

High Energy Physics - Phenomenology · Physics 2009-06-15 M. A. Zubkov

We construct an SU(4) spectral divisor and its factorization of types (3,1) and (2,2) based on the construction proposed in [1]. We calculate the chiral spectra of flipped SU(5) GUTs by using the spectral divisor construction. The results…

High Energy Physics - Theory · Physics 2011-03-31 Yu-Chieh Chung

Using a six-orientifold on top of a NS-fivebrane we construct a chiral N=1 supersymmetric gauge theory in four dimensions with gauge group SU(N_c) and matter in the symmetric, antisymmetric and (anti)fundamental representations. Anomaly…

High Energy Physics - Theory · Physics 2009-10-31 Karl Landsteiner , Esperanza Lopez , David A. Lowe