SUSY Chern–Simons $\mathbb{CP}^N$ and baby Skyrme models and their BPS structures

Queiruga, Jose M.

doi:10.1088/1751-8121/aaf93c

Cited by 8 publications

(8 citation statements)

References 85 publications

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“…Further, it is important to mention the Lagrangian density (16) has a matching to a N = 2 SUSY model, such a property can be verified in Ref. [48]. Furthermore, it is worthwhile to point out the penultimate term in (16) can be expressed as…”

Section: Self-dual Maxwell-chern-simons Baby Skyrme Modelmentioning

confidence: 78%

“…This set of equations possess a correspondence [65,66] with the BPS equations of an extended supersymmetric model. Indeed, the model (16) is related to the bosonic part of a N = 2 SUSY extension [48], so that the solutions of the BPS equations are classified as being of the type 1/4-BPS associated to the existence of a nontrivial phase of the SUSY extended model. From (47), we observe that Ψ = ±A 0 automatically satisfies both equations, consequently, the self-dual or BPS charged solitons are described by the equations…”

Section: A the Bps Structurementioning

confidence: 99%

“…Besides, the solutions of the Eqs. (48) and (49) correspond to the type 1/4-BPS related to the nontrivial phase of the supersymmetric model [48].…”

Section: Conclusion and Remarksmentioning

confidence: 99%

“…Thus, BPS solitons has been obtained in a gauged restricted model whose gauge field dynamics is governed by the Maxwell term [41]. All these results have inspired the development a wide range of applications, including topological phase transitions [30], Bogomol'nyi equations based in the strong necessary conditions limit [42], gauged BPS baby skyrmions with quantized magnetic flux [43] and even in supersymmetry [44][45][46][47][48] and gravitational theories [49].…”

Section: Introductionmentioning

confidence: 99%

“…[34,35] has been studied some properties of the solitonic solutions emerging in the Maxwell-Chern-Simons baby Skyrme model, nevertheless, still remains open the obtaining of self-dual solitons via direct application of the BPS formalism. On the other side, the existence of BPS structures in gauged baby Skyrme models including the Chern-Simons term also has been revealed by using supersymmetry techniques [48], specifically, these models possess N = 2 SUSY extension. The matching of the BPS structures arising via the direct use of the BPS technique and SUSY formalism in the Chern-Simons baby Skyrme model has been discussed in [33].…”

Section: Introductionmentioning

confidence: 99%

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Self-dual solitons in a Maxwell-Chern-Simons baby Skyrme model

et al. 2020

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We have studied the existence de self-dual solitons in a gauged version of the baby Skyrme model in which the gauge field dynamics is governed by the Maxwell-Chern-Simons action. For such a purpose, we have developed a detailed implementation of the Bogomol'nyi-Prasad-Sommerfield formalism providing the self-dual equations whose solutions saturate the energy lower bound. Such a bound related to the topological charge of the Skyrme field becomes quantized whereas both the total magnetic flux and the total electrical charge are not. We have found two types of self-dual Skyrme field profiles: the first is described by a solution which decays following an exponential-law (e −αr 2 , α > 0); the second is portrayed by a solution having a power-law decay (r −β , β > 0). On other hand, in both cases the asymptotic behavior of the gauge field is similar to the one presented in the context of the Abelian Higgs models describing Abrikosov-Nielsen-Olesen charged vortices. Other interesting feature we highlight is the localized magnetic flux inversion, a property does not observed in others gauged baby Skyrme models already studied in literature. Numerical results are presented for rotationally symmetrical field configurations by remarking some of its essential features.

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Section: Self-dual Maxwell-chern-simons Baby Skyrme Modelmentioning

confidence: 78%

Section: A the Bps Structurementioning

confidence: 99%

“…Besides, the solutions of the Eqs. (48) and (49) correspond to the type 1/4-BPS related to the nontrivial phase of the supersymmetric model [48].…”

Section: Conclusion and Remarksmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Self-dual solitons in a Maxwell-Chern-Simons baby Skyrme model

et al. 2020

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Topological couplings in higher derivative extensions of supersymmetric three-form gauge theories

Nitta

Yokokura

2019

J. High Energ. Phys.

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We consider a topological coupling between a pseudo-scalar field and a 3-form gauge field in N = 1 supersymmetric higher derivative 3-form gauge theories in four spacetime dimensions. We show that ghost/tachyon-free higher derivative Lagrangians with the topological coupling can generate various potentials for the pseudo-scalar field by solving the equation of motion for the 3-form gauge field.We give two examples of higher derivative Lagrangians and the corresponding potentials: one is a quartic order term of the field strength and the other is the term which can generate a cosine-type potential of the pseudo-scalar field.

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BPS soliton-impurity models and supersymmetry

Adam

Queiruga

Wereszczyński

2019

J. High Energ. Phys.

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We find supersymmetric extensions of the half-BPS soliton-impurity models in (1+1) dimensions which preserve half of the N = 1 supersymmetry. This is related to the fact that in the bosonic sector (i.e., the half-BPS soliton-impurity model), only one soliton (for example, the kink) is a BPS configuration which solves the pertinent Bogomolnyi equation and saturates the topological energy bound. On the other hand, the topological charge conjugate state (the antikink) is not a BPS solution. This means that it obeys the full Euler-Lagrange equation and does not saturate the topological energy bound.The supersymmetric approach also allows us to construct half-BPS soliton-impurity models in (2+1) dimensions. Concretely, in the case of the CP 1 model, its BPS impurity generalisation preserves one-quarter of the N = 2 SUSY, while for the Abelian Higgs model at critical coupling both impurity generalisations preserving one-quarter (the case of a new, so-called Higgs impurity) as well as one-half of the N = 2 SUSY (the case of the previously known magnetic impurity) are possible.We also discuss a possible relation between the BPS CP 1 -impurity model and the Dzyaloshinskii-Moriya interaction energy.

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SUSY Chern–Simons $\mathbb{CP}^N$ and baby Skyrme models and their BPS structures

Cited by 8 publications

References 85 publications

Self-dual solitons in a Maxwell-Chern-Simons baby Skyrme model

Self-dual solitons in a Maxwell-Chern-Simons baby Skyrme model

Topological couplings in higher derivative extensions of supersymmetric three-form gauge theories

BPS soliton-impurity models and supersymmetry

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