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We consider a deformation of the well-known stu model of $N=2$, $D=4$ supergravity, characterized by a non-homogeneous special K\"{a}hler manifold, and by the smallest electric-magnetic duality Lie algebra consistent with its upliftability…

High Energy Physics - Theory · Physics 2015-07-21 Dietmar Klemm , Alessio Marrani , Nicolò Petri , Camilla Santoli

Composite Higgs models based on SU(5)/SO(5) are characterised by the presence of custodial triplets, like the Georgi-Machacek model. We classify all the operators giving rise to the top mass and Higgs potential in presence of fermion…

High Energy Physics - Phenomenology · Physics 2019-03-27 Alessandro Agugliaro , Giacomo Cacciapaglia , Aldo Deandrea , Stefania De Curtis

We argue that BPS ansatzes, entering manifestly vacuum BPS monopole solutions to equations of motion in the (Minkowskian) non-Abelian Higgs model play the role of some electric form-factors and that this implies (soft) violating the…

High Energy Physics - Theory · Physics 2021-12-07 Leonid Lantsman

We evaluate the gauge invariant, dynamically conserved charges, recently obtained from the integral form of the Yang-Mills equations, for the BPS multi-dyon solutions of a Yang-Mills-Higgs theory associated to any compact semi-simple gauge…

High Energy Physics - Theory · Physics 2016-01-27 C. P. Constantinidis , L. A. Ferreira , G. Luchini

We continue to explore the consequences of the recently discovered Minkowski space structure of the Higgs potential in the two-Higgs-doublet model. Here, we focus on the vacuum properties. The search for extrema of the Higgs potential is…

High Energy Physics - Phenomenology · Physics 2008-11-26 I. P. Ivanov

We consider the noncommutative Abelian-Higgs theory and construct new types of exact multi-vortex solutions that solve the static equations of motion. They in general do not follow from the BPS equations; only for some specific values of…

High Energy Physics - Theory · Physics 2011-05-05 Dongsu Bak

An attractive mechanism to break supersymmetry in vacua with zero vacuum energy arose in E_8 x E_8 heterotic models with hidden sector gaugino condensate. An H-flux balances the exponentially small condensate on shell and fixes the complex…

High Energy Physics - Theory · Physics 2008-11-26 Axel Krause

We study the properties of classical vortex solutions in a non-Abelian gauge theory. A system of two adjoint Higgs fields breaks the SU(2) gauge symmetry to $Z_2$, producing 't Hooft-Polyakov monopoles trapped on cosmic strings, termed…

High Energy Physics - Theory · Physics 2016-12-15 Mark Hindmarsh , Kari Rummukainen , David J. Weir

The real-time dynamics of topological defects and turbulent configurations of gauge fields for electric and magnetic confinement are studied numerically within a 2+1D Abelian Higgs model. It is shown that confinement is appearing in such…

High Energy Physics - Phenomenology · Physics 2015-06-16 Thomas Gasenzer , Larry McLerran , Jan M. Pawlowski , Dénes Sexty

The complete eleven-dimensional supergravity solutions with 16 supersymmetries on manifolds of the form $AdS_3 \times S^3 \times S^3 \times \Sigma$, with isometry $SO(2,2) \times SO(4) \times SO(4)$, and with either $AdS_4 \times S^7$ or…

High Energy Physics - Theory · Physics 2014-11-18 Eric D'Hoker , John Estes , Michael Gutperle , Darya Krym

We consider the Gauss curvature type flow for uniformly convex hypersurfaces in the hyperbolic space $\mathbb{H}^{n+1}\ (n\geqslant 2)$. We prove that if the initial closed hypersurface is smooth and uniformly convex, then the smooth…

Differential Geometry · Mathematics 2024-01-19 Tianci Luo , Rong Zhou

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

We review some recent developments on BPS string solutions and monopole confinement in the Higgs or (color) superconducting phase of deformed N=2 and N=4 super Yang-Mills theories. In particular, the monopole magnetic fluxes are shown to be…

High Energy Physics - Theory · Physics 2007-05-23 Marco A. C. Kneipp

We consider the gravitational properties of a global monopole on the basis of the simplest Higgs scalar triplet model in general relativity. We begin with establishing some common features of hedgehog-type solutions with a regular center,…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Kirill A. Bronnikov , Boris E. Meierovich , Evgeny R. Podolyak

We introduce a gauge invariant topological definition of monopole charge in pure SU(2) gluodynamics. The non-trivial topology is provided by hedgehog configurations of the non-Abelian field strength tensor on the two-sphere surrounding the…

High Energy Physics - Lattice · Physics 2007-05-23 F. V. Gubarev , V. I. Zakharov

We show that the `instantonic' soliton of five-dimensional Yang-Mills theory and the closely related BPS monopole of four-dimensional Yang-Mills/Higgs theory continue to be exact static, and stable, solutions of these field theories even…

High Energy Physics - Theory · Physics 2009-10-07 G. W. Gibbons , D. Kastor , L. A. J. London , P. K. Townsend , J. Traschen

Using Perelman's approach for geometrical flows in terms of an entropy functional, the Higgs mechanism is studied dynamically along flows defined in the space of parameters and in fields space. The model corresponds to two-dimensional…

High Energy Physics - Theory · Physics 2022-03-30 R. Cartas-Fuentevilla , A. Herrera-Aguilar , J. Berra-Montiel

We study mathematical structures on the moduli spaces of BPS structures of $\mathcal{N}=2$ theories. Guided by the realization of BPS structures within type IIB string theory on non-compact Calabi-Yau threefolds, we develop a notion of BPS…

High Energy Physics - Theory · Physics 2023-09-01 Murad Alim , Florian Beck , Anna Biggs , Daniel Bryan

For three conspicuous gauge groups, namely, SU(2), SU(3) and SO(5), and at first order in the noncommutative parameter matrix h\theta^{\mu\nu}, we construct smooth monopole --and, some two-monopole-- fields that solve the noncommutative…

High Energy Physics - Theory · Physics 2010-10-27 C. P. Martin , C. Tamarit

We study BPS surface observables of $\mathcal{N}=2$ four dimensional $SU(2)$ gauge theory in gravitational $\Omega$-background at perturbative and at Argyres-Douglas superconformal fixed points. This is done by formulating the equivariant…

High Energy Physics - Theory · Physics 2024-10-24 Giulio Bonelli , Pavlo Gavrylenko , Ideal Majtara , Alessandro Tanzini