Bogomol'nyi solitons in a gauged O(3) sigma model

Schroers, Bernd J.

doi:10.1016/0370-2693(95)00833-7

Cited by 176 publications

(307 citation statements)

References 8 publications

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“…We find that, again, the BPS solitons are one-half BPS states of the N = 2 SUSY extension, and the "superpotential equation" may be understood from the fact that both the "superpotential" W and the potential V are derived from a certain Kaehler potential. In section 10 we apply our methods to the gauged nonlinear sigma model, which is known to possess BPS solitons for a certain choice of potential [83]. It follows easily from our general construction that this model has an N = 2 SUSY extension and that the BPS solitons are one-half BPS states.…”

Section: Jhep05(2013)108mentioning

confidence: 99%

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Extended supersymmetry and BPS solutions in baby Skyrme models

Adam

Queiruga

Sánchez-Guillén

et al. 2013

J. High Energ. Phys.

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Abstract:We continue the investigation of supersymmetric extensions of baby Skyrme models in d = 2 + 1 dimensions. In a first step, we show that the CP(1) form of the baby Skyrme model allows for the same N = 1 SUSY extension as its O(3) formulation. Then we construct the N = 1 SUSY extension of the gauged baby Skyrme model, i.e., the baby Skyrme model coupled to Maxwell electrodynamics. In a next step, we investigate the issue of N = 2 SUSY extensions of baby Skyrme models. We find that all gauged and ungauged submodels of the baby Skyrme model which support BPS soliton solutions allow for an N = 2 extension such that the BPS solutions are one-half BPS states (i.e., annihilated by one-half of the SUSY charges). In the course of our investigation, we also derive the general BPS equations for completely general N = 2 supersymmetric field theories of (both gauged and ungauged) chiral superfields, and apply them to the gauged nonlinear sigma model as a further, concrete example.

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Section: Jhep05(2013)108mentioning

confidence: 99%

“…Concretely, we want to employ it to obtain the Bogomol'nyi equations of the gauged nonlinear sigma model originally analyzed in [83]. We remark that the N = 2 SUSY extension of this model in the O(3) formulation has already been discussed in [84].…”

Section: Jhep05(2013)108mentioning

confidence: 99%

Extended supersymmetry and BPS solutions in baby Skyrme models

Adam

Queiruga

Sánchez-Guillén

et al. 2013

J. High Energ. Phys.

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“…(The work of Ref. [10] consists of establishing topological lower bounds for the generic case, encompassing earlier examples in two [11] and three [12,13] dimensions respectively.) The gauging prescription used here by us coincides precisely with that used in Ref.…”

Section: Introductionmentioning

confidence: 99%

Static solutions in the U(1) gauged Skyrme model

2000

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We use a prescription to gauge the SU (2) Skyrme model with a U (1) field, characterised by a conserved Baryonic current. This model reverts to the usual Skyrme model in the limit of the gauge coupling constant vanishing. We show that there exist axially symmetric static solutions with zero magnetic charge, which can be electrically either charged or uncharged. The energies of the (uncharged) gauged Skyrmions are less than the energy of the (usual) ungauged Skyrmion. For physical values of the parameters the impact of the U (1) field is very small, so that it can be treated as a perturbation to the (ungauged) spherically symmetric Hedgehog. This allows the perturbative calculation of the magnetic moment.

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“…One known origin of the fractional topological charges is due to the presence of suitable potential term. For instance, a lump (sigma model instanton) in the CP N −1 model characterized by π 2 is split into N fractional (1/N ) lumps [24][25][26], and a Skyrmion in the Skyrme model characterized by π 3 is split into two half Skyrmions [27] in the presence of potential terms. The other known example is given by twisted boundary conditions along a compactified direction.…”

Section: Summary and Discussionmentioning

confidence: 99%

Semilocal fractional instantons

Eto¹,

Nitta²

2016

J. High Energ. Phys.

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We find semi-local fractional instantons of codimension four in Abelian and non-Abelian gauge theories coupled with scalar fields and the corresponding CP N −1 and Grassmann sigma models at strong gauge coupling. They are 1/4 BPS states in supersymmetric theories with eight supercharges, carry fractional (half) instanton charges characterized by the fourth homotopy group π 4 (G/H), and have divergent energy in infinite spaces. We construct exact solutions for the sigma models and numerical solutions for the gauge theories. Small instanton singularity in sigma models is resolved at finite gauge coupling (for the Abelian gauge theory). Instantons in Abelian and non-Abelian gauge theories have negative and positive instantons charges, respectively, which are related by the Seiberg-like duality that changes the sign of the instanton charge.

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Bogomol'nyi solitons in a gauged O(3) sigma model

Cited by 176 publications

References 8 publications

Extended supersymmetry and BPS solutions in baby Skyrme models

Extended supersymmetry and BPS solutions in baby Skyrme models

Static solutions in the U(1) gauged Skyrme model

Semilocal fractional instantons

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