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We present a non-perturbative model of Gauge-Higgs Unification. We consider a five-dimensional pure SU(2) gauge theory with orbifold boundary conditions along the fifth dimension, such that the symmetry is reduced to U(1) at the fixed…

High Energy Physics - Lattice · Physics 2015-06-12 Nikos Irges , Francesco Knechtli , Kyoko Yoneyama

A novel algebraic topology approach to supersymmetry (SUSY) and symmetry breaking in quantum field and quantum gravity theories is presented with a view to developing a wide range of physical applications. These include: controlled nuclear…

High Energy Physics - Theory · Physics 2009-06-19 Ion C. Baianu , James F. Glazebrook , Ronald Brown

Motivated from unified models with string origin, we analyse the constraints from duality invariance on effective supergravity models with an intermediate gauge symmetry. Requiring vanishing vacuum energy and invariance of the…

High Energy Physics - Phenomenology · Physics 2009-10-28 G. K. Leontaris , N. D. Tracas

In the gauge-Higgs unification scenario the Higgs field is unified with gauge fields in higher dimensional gauge theory. The 4D Higgs field $H(x)$ corresponds to 4D fluctuations of the Aharonov-Bohm phase (Wilson line phase) $\theta_H$ in…

High Energy Physics - Phenomenology · Physics 2009-01-19 Yutaka Hosotani

Electroweak symmetry breaking is explored in a two Higgs doublet model based on a six dimensional $SU(4)$ gauge-Higgs unification compactified on an orbifold $T^2/Z_2$. The remarkable property of this model is a prediction of realistic weak…

High Energy Physics - Phenomenology · Physics 2023-12-15 Kento Akamatsu , Takuya Hirose , Nobuhito Maru , Akio Nago

We examine the Higgs mass parameters and electroweak symmetry breaking in supersymmetric orbifold field theories in which the 4-dimensional Higgs fields originate from higher-dimensional gauge supermultiplets. It is noted that such…

High Energy Physics - Phenomenology · Physics 2009-11-10 Kiwoon Choi , Naoyuki Haba , Kwang-Sik Jeong , Ken-ichi Okumura , Yasuhiro Shimizu , Masahiro Yamaguchi

Gauge theory defined on the orbifold $M^4 \times (S^1/Z_2)$ is investigated from the viewpoint of the Hosotani mechanism. Rearrangement of gauge symmetry takes place due to the dynamics of Wilson line phases. The physical symmetry of the…

High Energy Physics - Phenomenology · Physics 2012-01-16 Naoyuki Haba , Masatomi Harada , Yutaka Hosotani , Yoshiharu Kawamura

We study straight vortices with global longitudinal currents in the Bogomol'ny limit of the Abelian Higgs model with two charged scalar fields. The model possesses global SU(2) and local electromagnetic U(1) symmetries spontaneously broken…

High Energy Physics - Theory · Physics 2015-03-17 M. N. Chernodub , A. S. Nedelin

We give an argument showing that in N=4 supersymmetric gauge theories there exists at least one bound state saturating the Bogomol'nyi bound with electric charge $p$ and magnetic charge $q$, for each $p$ and $q$ relatively prime, and we…

High Energy Physics - Theory · Physics 2009-10-28 M. Porrati

We derive the Bogomol'nyi equations in generalized Abelian Higgs theories which allow the coexistence of vortices and antivortices over a compact Riemann surface or the full plane. In the compact surface situation, we obtain a necessary and…

Mathematical Physics · Physics 2025-10-13 Aonan Xu , Yisong Yang

The electroweak symmetry is nonlinearly realized in an extension of the minimal supersymmetric standard model (MSSM) through an additional pair of constrained Higgs doublet superfields. The superpotential couplings of this constrained Higgs…

High Energy Physics - Phenomenology · Physics 2015-05-28 T. E. Clark , S. T. Love , T. ter Veldhuis

We take advantage of the superspace formalism and explicitly find the N=2 supersymmetric extension of the Maxwell Chern-Simons model. In our construction a special form of a potential term and indispensability of an additional neutral…

High Energy Physics - Theory · Physics 2010-02-04 Bogdan Damski

We consider a supersymmetric version of the recently proposed SU(3) X U(1) extended gauge model. We show that it is possible to have only two Higgs doublets at the SU(2) X U(1) energy scale but they are not those of the minimal…

High Energy Physics - Phenomenology · Physics 2009-10-22 T. V. Duong , Ernest Ma

Within the mathematical framework of Quillen, one interprets the Higgs field as part of the superconnection on a superbundle. We propose to take as superbundle the exterior algebra obtained from a Hermitian bundle with structure group U(n).…

High Energy Physics - Theory · Physics 2009-10-31 G. Roepstorff

If the standard electroweak gauge model is embedded in a larger theory which is supersymmetric and the latter breaks down to the former at some mass scale, then the reduced Higgs potential at the electroweak mass scale may differ from that…

High Energy Physics - Phenomenology · Physics 2009-10-22 Ernest Ma , Daniel Ng

Assuming the existence of a supersymmetric U(1) gauge factor at the TeV energy scale (motivated either by the superstring-inspired E_6 model or low-energy electroweak phenomenology), several important consequences are presented. The…

High Energy Physics - Phenomenology · Physics 2009-10-30 Ernest Ma

We study a d=2+1 dimensional Chern-Simons gauge theory coupled to a Higgs scalar and an axion field, finding the form of the potential that allows the existence of selfdual equations and the corresponding Bogomolny bound for the energy of…

High Energy Physics - Theory · Physics 2008-11-26 J. Lopez-Sarrion , E. F. Moreno , F. A. Schaposnik , D. Slobinsky

The $N=2$ supersymmetric continuum limit is investigated in the SU(2) adjoint Higgs-Yukawa model using lattice perturbation theory. In the one-loop renormalization group equations a non-trivial infrared fixed point of coupling ratios is…

High Energy Physics - Lattice · Physics 2016-08-31 I. Montvay

We consider a gauge-Higgs system on a fuzzy 2-sphere and study the topological structure of gauge configurations, when the U(2) gauge symmetry is spontaneously broken to U(1) times U(1) by the vev of the Higgs field. The topology is…

High Energy Physics - Theory · Physics 2008-11-26 Hajime Aoki , Yoshiko Hirayama , Satoshi Iso

Strings in $\mathcal{N}=2$ supersymmetric ${\rm U}(1)^N$ gauge theories with $N$ hypermultiplets are studied in the generic setting of an arbitrary Fayet-Iliopoulos triplet of parameters for each gauge group and an invertible charge matrix.…

High Energy Physics - Theory · Physics 2021-03-11 Sven Bjarke Gudnason , Minoru Eto , Muneto Nitta