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We determine the BPS bounds in minimal gauged supergravity in four spacetime dimensions. We concentrate on asymptotically anti-de Sitter (AdS) spacetimes, and find that there exist two disconnected BPS ground states of the theory, depending…

High Energy Physics - Theory · Physics 2015-05-30 Kiril Hristov , Chiara Toldo , Stefan Vandoren

A semi-classical check of the Goddard-Nuyts-Olive (GNO) generalized duality conjecture for gauge theories with adjoint Higgs fields is performed for the case where the unbroken gauge group is non-abelian. The monopole solutions of the…

High Energy Physics - Theory · Physics 2008-02-03 N. Dorey , C. Fraser , T. J. Hollowood , M. A. C. Kneipp

We study the noncommutative U(2) monopole solution at the second order in the noncommutativity parameter \theta^{ij}. We solve the BPS equation in noncommutative super Yang-Mills theory to O(\theta^2), transform the solution to the…

High Energy Physics - Theory · Physics 2009-10-31 Seiya Goto , Hiroyuki Hata

The space of all possible boundary conditions that respect self-adjointness of Hamiltonian operator is known to be given by the group manifold $U(2)$ in one-dimensional quantum mechanics. In this paper we study non-Abelian Berry's…

High Energy Physics - Theory · Physics 2015-11-25 Satoshi Ohya

We describe in detail a general scheme for embedding several BPS monopoles into a theory with a larger gauge group, which generalizes embeddings of SU(2) monopoles discussed by several authors. This construction is applied to obtain…

High Energy Physics - Theory · Physics 2007-05-23 Mark W. Meckes

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

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 demonstrate that $\mathcal{N}=2$ supersymmetric non-Abelian gauge theories have towers of BPS particles obeying a Regge relation, $J \sim m^{2},$ between their angular momenta, $J,$ and their masses, $m$. For $SU(N)$ Yang-Mills theories,…

High Energy Physics - Theory · Physics 2017-10-11 Clay Cordova

We find both analytical and numerical solutions of SU(2) Yang-Mills with an adjoint Higgs field within both closed and open tubes whose sections are spherical caps. This geometry admits a smooth limit in which the space-like metric is flat…

High Energy Physics - Theory · Physics 2015-06-22 Fabrizio Canfora , Gianni Tallarita

As shown by Taubes, in the Bogomol'nyi-Prasad-Sommerfield limit the SU(2) Yang-Mills-Higgs model possesses smooth finite energy solutions, which do not satisfy the first order Bogomol'nyi equations. We construct numerically such a…

High Energy Physics - Theory · Physics 2009-10-31 B. Kleihaus , Jutta Kunz

Quantum corrections to the magnetic central charge of the monopole in N=4 supersymmetric Yang-Mills theory are free from the anomalous contributions that were crucial for BPS saturation of the two-dimensional supersymmetric kink and the N=2…

High Energy Physics - Theory · Physics 2009-11-11 A. Rebhan , R. Schöfbeck , P. van Nieuwenhuizen , R. Wimmer

Axially symmetric monopole anti-monopole dipole solutions to the second order equations of a simple SU(2) Yang-Mills-Higgs model featuring a quartic Skyrme-like term are constructed numerically. The effect of varying the Skyrme coupling…

High Energy Physics - Theory · Physics 2015-06-26 Vanush Paturyan , D. H. Tchrakian

We show that, in some limit, gravitational instantons correspond to exotic smooth geometry on R^4. The geometry of this exotic R^4 represents magnetic monopoles of Polyakov-'t Hooft type and the BPS condition allows for the generation of…

Mathematical Physics · Physics 2012-11-19 Torsten Asselmeyer-Maluga , Jerzy Król

In this work we investigate the presence of magnetic monopoles that engender multimagnetic structures, which arise from an appropriate extension of the $\rm{SU(2)}$ gauge group. The investigation is based on a modified relativistic theory…

High Energy Physics - Theory · Physics 2021-08-04 D. Bazeia , M. A. Liao , M. A. Marques

We consider an SU(4) Yang-Mills-Higgs theory spontaneously broken to $SO(4)$ by a scalar field in the $n\times n$ representation and the unbroken algebra invariant under Cartan automorphism. We obtain that $\mathbb Z_2$ monopoles in this…

High Energy Physics - Theory · Physics 2022-08-31 Paulo J. Liebgott , Eduardo E. Quadros

The low energy effective Lagrangian for N= 2 SU(2) supersymmetric Yang-Mills theory coupled to N_F<4 massless matter fields is derived from the BPS mass formula using asymptotic freedom and assuming that the number of strong coupling…

High Energy Physics - Theory · Physics 2009-10-30 M. Magro , L. O'Raifeartaigh , I. Sachs

Applying Cho-Faddeev-Niemi decomposition for SU(2) Yang-Mills field, we obtain the Abelian-Higgs Lagrangian by some approximation. Abelian-Higgs Lagrangian with a spontaneous symmetry breaking potential has vortex solutions known as…

High Energy Physics - Theory · Physics 2014-03-31 Ahmad Mohamadnejad , Sedigheh Deldar

The well-known Bogomol'nyi-Prasad-Sommerfeld (BPS) monopole is considered in the limit of the infinite mass of the Higgs field as a basis for constructing the Yang-Mills vacuum with the finite energy density. In this limit the Higgs field…

Mathematical Physics · Physics 2007-05-23 Leonid Lantsman

We present explicit BPS field configurations representing one nonabelian monopole with one minimal weight 't Hooft operator insertion. We explore the SO(3) and SU(2) gauge groups. In the case of SU(2) gauge group the minimal 't Hooft…

High Energy Physics - Theory · Physics 2009-01-16 Sergey A. Cherkis , Brian Durcan

We consider dimensionally reduced three-dimensional supersymmetric Yang-Mills-Chern-Simons theory. Although the N=1 supersymmetry of this theory does not allow true massive Bogomol'nyi-Prasad-Sommerfield (BPS) states, we find approximate…

High Energy Physics - Theory · Physics 2009-11-07 J. R. Hiller , S. S. Pinsky , U. Trittmann