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Exact duality in supersymmetric gauge theories leads to highly non-trivial predictions about the moduli spaces of BPS monopole solutions. These notes attempt to be a pedagogical review of the current status of these investigations and are…

High Energy Physics - Theory · Physics 2009-10-30 Jerome P. Gauntlett

We discuss the explicit formulation of the transcendental constraints defining spectral curves of SU(2) BPS monopoles in the twistor approach of Hitchin, following Ercolani and Sinha. We obtain an improved version of the Ercolani-Sinha…

High Energy Physics - Theory · Physics 2009-10-31 C. J. Houghton , N. S. Manton , N. M. Romão

We consider a Yang-Mills-Higgs theory with gauge group $G=SU(n)$ broken to $G_{v} = [SU(p)\times SU(n-p)\times U(1)]/Z$ by a Higgs field in the adjoint representation. We obtain monopole solutions whose magnetic field is not in the Cartan…

High Energy Physics - Theory · Physics 2019-01-18 Maria de Lourdes Z. P. Deglmann , Marco A. C. Kneipp

The BPS bound is formulated in light-cone superspace for the N = 4 superYang-Mills theory. As a consequence of the superalgebra all momenta are shown to be expressed as a quadratic form in the relevant supertransformations, and these forms…

High Energy Physics - Theory · Physics 2011-02-15 Patrick Hearin

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

Various dynamical regimes associated with confined monopoles in the Higgs phase of N=2 two-flavor QCD are studied. The microscopic model we deal with has the SU(2)xU(1) gauge group, with a Fayet-Iliopoulos term of the U(1) factor, and large…

High Energy Physics - Theory · Physics 2010-05-27 M. Shifman , A. Yung

We demonstrate that in the supersymmetric extensions of a class of generalized (or K) field theories introduced recently, the static energy satisfies a BPS bound in each topological sector. Further, the corresponding soliton solutions…

High Energy Physics - Theory · Physics 2013-05-30 C. Adam , J. M. Queiruga , J. Sanchez-Guillen , A. Wereszczynski

Monopole operators in Abelian N=4 Chern-Simons theories described by circular quiver diagrams are investigated. The magnetic charges of non-diagonal U(1) gauge symmetries form the SU(p)xSU(q) root lattice where p and q are numbers of…

High Energy Physics - Theory · Physics 2011-08-23 Yosuke Imamura

We study non-BPS black hole solutions to ungauged supergravity with 8 supercharges coupled to vector multiplets in four and five dimensions. We identify a large class of five dimensional non-BPS solutions, which we call "almost BPS", that…

High Energy Physics - Theory · Physics 2009-05-20 Kevin Goldstein , Stefanos Katmadas

We consider limits of $\mathcal{N} = 4$ super-Yang-Mills (SYM) theory that approach BPS bounds. These limits result in non-relativistic theories that describe the effective dynamics near the BPS bounds and upon quantization are known as…

High Energy Physics - Theory · Physics 2022-02-28 Stefano Baiguera , Troels Harmark , Yang Lei

A magnetic bag is an abelian approximation to a large number of coincident SU(2) BPS monopoles. In this paper we consider magnetic bags in hyperbolic space and derive their Nahm transform from the large charge limit of the discrete Nahm…

High Energy Physics - Theory · Physics 2015-08-05 Stefano Bolognesi , Derek Harland , Paul Sutcliffe

We analyze the structure of heavy multitrace BPS operators in N = 1 superconformal quiver gauge theories that arise on the worldvolume of D3-branes on an affine toric cone. We exhibit a geometric procedure for counting heavy mesonic…

High Energy Physics - Theory · Physics 2009-12-15 Vijay Balasubramanian , Bartlomiej Czech , Yang-Hui He , Klaus Larjo , Joan Simon

We consider the N=1* supersymmetric SU(2) gauge theory and demonstrate that the Z_2 vortices in this theory acquire orientational zero modes, associated with the rotation of magnetic flux inside SU(2) group, and turn into the non-Abelian…

High Energy Physics - Theory · Physics 2010-05-27 V. Markov , A. Marshakov , A. Yung

Recently, we have reported on the existence of some monopoles, multimonopole, and antimonopoles configurations. In this paper we would like to present more monopoles, multimonopole, and antimonopoles configurations of the magnetic ansatz of…

High Energy Physics - Theory · Physics 2009-11-10 Rosy Teh , Khai-Ming Wong

An exact one monopole solution in a uniform self-dual background field is obtained in the BPS limit of the SU(2) Yang-Mills-Higgs theory by using the inverse scattering method.

High Energy Physics - Theory · Physics 2009-10-31 Choonkyu Lee , Q-Han Park

We show the existence of Bogomol'nyi-Prasad-Sommerfield (BPS) magnetic monopoles in a generalized Yang-Mills-Higgs model which is controlled by two positive functions. This effective model, in principle, would describe the dynamics of the…

High Energy Physics - Theory · Physics 2012-10-25 R. Casana , M. M. Ferreira , E. da Hora

Classical properties of 1/4 BPS dyons were previously well understood both in field theory context and in string theory context. Its quantum properties, however, have been more difficult to probe, although the elementary information of the…

High Energy Physics - Theory · Physics 2009-10-31 Dongsu Bak , Kimyeong Lee , Piljin Yi

The dynamics of near-BPS black holes are governed by the breaking of the conformal symmetry that emerges near their horizons. Using the classification of superconformal symmetries, we systematically classify and quantize all effective…

High Energy Physics - Theory · Physics 2025-12-01 Matthew Heydeman , Xiaoyi Shi , Gustavo J. Turiaci

Classical and quantum dynamics of two distinct BPS monopoles in the case of non-aligned Higgs fields are studied on the basis of the recently determined low energy effective theory. Despite the presence of a specific potential together with…

High Energy Physics - Theory · Physics 2009-10-31 Choonkyu Lee , Kimyeong Lee

A first-order `BPS' equation is obtained for 1/8 supersymmetric intersections of soliton-membranes (lumps) of supersymmetric (4+1)-dimensional massless sigma models, and a special non-singular solution is found that preserves 1/4…

High Energy Physics - Theory · Physics 2010-02-03 R. Portugues , P. K. Townsend