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Related papers: Non-Bogomolny SU(N) BPS Monopoles

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Using recently proposed non-linearly realized supersymmetry in non-Abelian gauge theory corrected to the order (alpha')^2, we derive the non-linear BPS equations in the background B-field for the U(2) monopoles and instantons. We show that…

High Energy Physics - Theory · Physics 2009-11-07 Koji Hashimoto

We show that in certain non-Abelian Born-Infeld-Higgs theories there are monopole solutions obeying Bogomol'nyi-like equations in the Prasad-Sommerfield limit. We also discuss the existence of instanton solution in an SU(2) Born-Infeld…

High Energy Physics - Theory · Physics 2013-09-03 Atsushi Nakamula , Kiyoshi Shiraishi

We use the SU(2) 't Hooft-Polyakov monopole configuration, and its BPS version, to test the integral equations of the Yang-Mills theory. Those integral equations involve two (complex) parameters which do not appear in the differential…

High Energy Physics - Theory · Physics 2017-12-06 C. P. Constantinidis , L. A. Ferreira , G. Luchini

Procedure of finding of the Bogomolny-Prasad-Sommerfield monopole solutions in the Georgi-Glashow model is investigated in detail on the backgrounds of three space models of constant curvature: Euclid, Riemann, Lobachevski's. Classification…

High Energy Physics - Theory · Physics 2007-05-23 V. M. Red'kov

We discuss $SU(2)$ Bogomolny monopoles of arbitrary charge $k$ invariant under various symmetry groups. The analysis is largely in terms of the spectral curves, the rational maps, and the Nahm equations associated with monopoles. We…

dg-ga · Mathematics 2016-08-31 N. J. Hitchin , N. S. Manton , M. K. Murray

We extend the relation between instanton and monopole solutions of the selfduality equations in SU(2) gauge theory to noncommutative space-times. Using this approach and starting from a noncommutative multi-instanton solution we construct a…

High Energy Physics - Theory · Physics 2009-11-10 D. H. Correa , P. Forgacs , E. F. Moreno , F. A. Schaposnik , G. A. Silva

We study static spherically-symmetric solutions of non-Abelian gauge theory coupled to Conformal Gravity. We find solutions for the self-gravitating pure Yang-Mills case as well as monopole-like solutions of the Higgs system. The former are…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Y. Brihaye , Y. Verbin

We systematically classify all possible Bogomol'nyi-Prasad-Sommerfield (BPS) equations in Euclidean dimension $d\leq8$. We discuss symmetries of BPS equations and their connection with the self-dual Yang-Mills equations. Also, we present a…

High Energy Physics - Theory · Physics 2008-11-26 E. K. Loginov

We consider a most general $SU(2)$ Yang-Mills-Higgs model consist of terms up to quadratic in first-derivative of the fields, that is the generalized $SU(2)$ Yang-Mills-Higgs with additional scalars-dependent coupling $\theta$-term. Using…

High Energy Physics - Theory · Physics 2025-04-24 Mulyanto , Emir Syahreza Fadhilla , Ardian Nata Atmaja

BPS monopoles which are periodic in one of the spatial directions correspond, via a generalized Nahm transform, to solutions of the Hitchin equations on a cylinder. A one-parameter family of solutions of these equations, representing a…

High Energy Physics - Theory · Physics 2011-03-28 Derek Harland , R. S. Ward

We construct, numerically, a solution of the SU(2) Bogomolny equations corresponding to a sheet of BPS monopoles. It represents a domain wall between a vacuum region and a region of constant energy density, and it is the smoothed-out…

High Energy Physics - Theory · Physics 2008-11-26 R. S. Ward

We study the structure of the monopole configuration in U(2) non-commutative super Yang-Mills theory. Our analysis consists of two steps: solving the BPS equation and then the eigenvalue equation in the non-commutative space. Calculation to…

High Energy Physics - Theory · Physics 2009-10-31 Koji Hashimoto , Hiroyuki Hata , Sanefumi Moriyama

This paper investigates an integrable system which is related to hyperbolic monopoles; ie the Bogomolny Yang-Mills-Higgs equations in (2+1) anti-de Sitter space which are integrable and whose solutions can be obtained using analytical…

High Energy Physics - Theory · Physics 2009-11-07 Theodora Ioannidou

The solutions of the Bogomolny equation in anti-de Sitter space-time are obtained by using Darboux transformations with both constant spectral parameters and variable "spectral parameters". These solutions give the Yang-Mills-Higgs fields…

Exactly Solvable and Integrable Systems · Physics 2009-10-31 Zixiang Zhou

We analyze superfield representations of BPS-conditions for the self-dual static solutions of D=4, N=2 supersymmetric Yang-Mills theory.

High Energy Physics - Theory · Physics 2017-08-23 B. M. Zupnik

We derive the central charge and BPS equations from the low-energy effective action for N=2 SU(2) Yang-Mills theory in the Coulomb phase, using a systematic, canonical procedure. We then obtain solutions for monopole and dyon BPS states,…

High Energy Physics - Theory · Physics 2009-11-07 Ioan A. Popescu , Alfred D. Shapere

Spherically symmetric solutions of the SU(5) Einstein-Yang-Mills-Higgs system are constructed using the harmonic map ansatz \cite{IS}. This way the problem reduces to solving a set of ordinary differential equations for the appropriate…

High Energy Physics - Theory · Physics 2010-11-19 Yves Brihaye , Theodora Ioannidou

We have found analytical self-dual solutions within the generalized Yang-Mills-Higgs model introduced in Phys. Rev. D 86, 085034 (2012). Such solutions are magnetic monopoles satisfying Bogomol'nyi-Prasad-Sommerfield (BPS) equations and…

High Energy Physics - Theory · Physics 2013-04-25 R. Casana , M. M. Ferreira , E. da Hora , C. dos Santos

We construct non-BPS regular and black hole solutions of N=4 SU(N) supersymmetric Yang-Mills theory coupled to Einstein gravity. Our numerical studies reveal a number of interesting phenomena when the gravitational constant…

High Energy Physics - Theory · Physics 2010-02-03 Theodora Ioannidou , Burkhard Kleihaus

We study a simple quantum mechanical model of a spinning particle moving on a sphere in the presence of a magnetic field. The system has two ground states. As the magnetic field is varied, the ground states mix through a non-Abelian Berry…

High Energy Physics - Theory · Physics 2009-06-30 Julian Sonner , David Tong