The Magnetic Monopoles Seventy-five Years Later

Konishi, Kenichi

doi:10.1007/978-3-540-74233-3_15

Cited by 52 publications

(61 citation statements)

References 99 publications

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“…This also explained the observed matching between the BPS spectra of N = (2, 2) CP N −1 models and four-dimensional N = 2 supersymmetric SU(N) gauge theories on the coulomb branch with N f = N [16]. For some recent reviews of these topics see [17][18][19] Dynamical setting. One starts with SU(N c ) N = 2 SQCD with N f massive flavors and N f < 2N c , so that the theory is asymptotically free.…”

Section: Jhep10(2011)134mentioning

confidence: 58%

“…The proper choice to achieve this is a suitable generalization of the 't Hooft R ζ -gauge, which serves the same purpose in spontaneously broken gauge theories. The associated gauge fixing and ghost Lagrangian is conveniently obtained by the BRS formalism: 18 L gf+gh = δ BRS Υ with:…”

Section: Jhep10(2011)134mentioning

confidence: 99%

“…The last missing piece is the ghost Lagrangian in (4.3) in second order of the quantum fields, which for ζ = 1 is simply 18) and is thus of the same form as the a 0 , a 5 fluctuations. As already observed for the Coulomb monopole they form a quartet with the ghosts b, c [28].…”

Section: Jhep10(2011)134mentioning

confidence: 99%

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Quantum energies and tensorial central charges of confined monopoles

Burke

Wimmer

2011

J. High Energ. Phys.

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Abstract:We study different aspects of monopoles in the Higgs phase which are confined by (non-abelian) vortices in N = 2 SQCD with gauge group U(N) and N f ≥ N massive flavors, including generalized FI-terms. We compute in particular the perturbative quantum corrections for (multiple) confined monopoles and identify an anomalous contribution in the central charge. For N f = N the results match the quantum corrections for kinks in two-dimensional CP N −1 models. To regulate the theory we embedded it in a six-dimensional model with constant U(1) background fields which generate the masses upon dimensional reduction. We discuss the (local) susy algebra and its representations including tensorial central charges, which are carried by the confined monopoles, in an SU(2) R covariant way. The resulting SU(2) R covariant 1/4 BPS equations show that there is no correlation between the SU(2) R and the spatial orientation of the confined monopole system. However, at the quantum level we find that supersymmetry links the spatial SU(2) with the R-symmetry SU(2) R .

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Section: Jhep10(2011)134mentioning

confidence: 58%

Section: Jhep10(2011)134mentioning

confidence: 99%

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Quantum energies and tensorial central charges of confined monopoles

Burke

Wimmer

2011

J. High Energ. Phys.

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“…A longstanding goal concerning non-Abelian vortices is to find solutions describing a nonAbelian vortex-monopole complex [2,4,29], [24]- [26].…”

Section: Jhep01(2014)086mentioning

confidence: 99%

Non-Abelian vortices with an Aharonov-Bohm effect

Evslin

Konishi

Nitta

et al. 2014

J. High Energ. Phys.

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The interplay of gauge dynamics and flavor symmetries often leads to remarkably subtle phenomena in the presence of soliton configurations. Non-Abelian vortices -vortex solutions with continuous internal orientational moduli -provide an example. Here we study the effect of weakly gauging a U(1) R subgroup of the flavor symmetry on such BPS vortex solutions. Our prototypical setting consists of an SU(2) × U(1) gauge theory with N f = 2 sets of fundamental scalars that break the gauge symmetry to an "electromagnetic" U(1). The weak U(1) R gauging converts the well-known CP 1 orientation modulus |B| of the non-Abelian vortex into a parameter characterizing the strength of the magnetic field that is responsible for the Aharonov-Bohm effect. As the phase of B remains a genuine zero mode while the electromagnetic gauge symmetry is Higgsed in the interior of the vortex, these solutions are superconducting strings.

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“…Many interesting aspects of non-Abelian vortices are reviewed in Refs. [43,47,48,49]. For instance, monopoles (Yang-Mills instantons) become kinks [50,51] (CP N C −1 -lumps [51,52]) in the effective field theory of a vortex-string.…”

Section: Introductionmentioning

confidence: 99%

SO and USp Kähler and hyper-Kähler quotients and lumps

et al. 2009

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We study non-linear σ models whose target spaces are the Higgs phases of supersymmetric SO and U Sp gauge theories by using the Kähler and hyper-Kähler quotient constructions. We obtain the explicit Kähler potentials and develop an expansion formula to make use of the obtained potentials from which we also calculate the curvatures of the manifolds. The 1/2 BPS lumps in the U (1) × SO and U (1) × U Sp Kähler quotients and their effective descriptions are also studied. In this connection, a general relation between moduli spaces of vortices and lumps is discussed. We find a new singular limit of the lumps with non-vanishing sizes in addition to the ordinary small lump singularity. The former is due to the existence of singular submanifolds in the target spaces.

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The Magnetic Monopoles Seventy-five Years Later

Cited by 52 publications

References 99 publications

Quantum energies and tensorial central charges of confined monopoles

Quantum energies and tensorial central charges of confined monopoles

Non-Abelian vortices with an Aharonov-Bohm effect

SO and USp Kähler and hyper-Kähler quotients and lumps

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