Non-Abelian Vortex-String Dynamics From Nonlinear Realization

Liu, Lu-Xin; Nitta, Muneto

doi:10.1142/s0217751x12500972

Cited by 6 publications

(6 citation statements)

References 112 publications

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“…The investigation of SUSY extensions of genuinely nonstandard kinetic terms has been resumed only recently [55]- [63] (see also [64]- [67] for related discussions), where this rising interest is partly owed to the fact that field theories with non-standard kinetic terms may be instrumental in the resolution of some enigmas of cosmology [68]- [80]. Concretely, in [56] we demonstrated that the baby Skyrme model in the O(3) formulation does have a N = 1 SUSY extension for arbitrary non-negative potential.…”

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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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%

Extended supersymmetry and BPS solutions in baby Skyrme models

Adam

Queiruga

Sánchez-Guillén

et al. 2013

J. High Energ. Phys.

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“…Higher derivative corrections to the vortex effective theory was studied in Refs. [41,42]. If we calculate the next-to-leading order to the moduli approximation, we obtain four derivative terms in the CP N −1 Lagrangian [41].…”

Section: A Theory 3: Instantons As Twisted Closed Monopole Stringsmentioning

confidence: 99%

“…(28) in the original Lagrangian from the beginning. These terms would induce more general four derivative terms in the vortex effective theory [42]. Then, lumps become baby Skyrmions in CP 1 model with four derivative term [22,23].…”

Section: A Theory 3: Instantons As Twisted Closed Monopole Stringsmentioning

confidence: 99%

Incarnations of instantons

Nitta

2014

Nuclear Physics B

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Yang-Mills instantons in a pure Yang-Mills theory in four Euclidean space can be promoted to particle-like topological solitons in d = 4+ 1 dimensional space-time. When coupled to Higgs fields, they transform themselves in the Higgs phase into Skyrmions, lumps and sine-Gordon kinks, with trapped inside a non-Abelian domain wall, non-Abelian vortex and monopole string, respectively.Here, we point out that a closed monopole string, non-Abelian vortex sheet and non-Abelian domain wall in S 1 , S 2 and S 3 shapes, respectively, are all Yang-Mills instantons if their S 1 , S 2 and S 3 moduli, respectively, are twisted along their world-volumes.

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“…While a CP N −1 generalization of the anti-ferromagnetic type potential was considered before [42] and was found to admit parallel multiple domain walls [43] or domain wall junctions or networks [44,45], depending on parameters in the potential, a CP N −1 generalization of the ferromagnetic (XY-type) of the potential has not been studied thus far in the CP N −1 model. Skyrme-like terms in the CP N −1 model were studied before without [46,47] and with [48][49][50] supersymmetry. A CP 2 or CP N −1 generalization of the baby Skyrme model with an anti-ferromagnetic potential will admit vortex trimers or Nomers, respectively.…”

Section: Summary and Discussionmentioning

confidence: 99%

Fractional vortex molecules and vortex polygons in a baby Skyrme model

Kobayashi

Nitta

2013

Phys. Rev. D

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We construct a molecule of fractional vortices with fractional topological lump charges as a baby Skyrmion with the unit topological lump charge in the anti-ferromagnetic (or XY) baby Skyrme model, that is, an O(3) sigma model with a four derivative term and an anti-ferromagnetic or XY-type potential term quadratic in fields. We further construct configurations with topological lump charges Q <= 7 and find that bound states of vortex molecules constitute regular polygons with 2Q vertices as vortices, where the rotational symmetry SO(2) in real space is spontaneously broken into a discrete subgroup Z_Q. We also find metastable and arrayed bound states of fractional vortices for Q=5,6. On the other hand, we find for Q=7 that the regular polygon is metastable and the arrayed bound state is stable. We calculate binding energies of all configurations.Comment: 21 pages, 5 figure

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Non-Abelian Vortex-String Dynamics From Nonlinear Realization

Cited by 6 publications

References 112 publications

Extended supersymmetry and BPS solutions in baby Skyrme models

Extended supersymmetry and BPS solutions in baby Skyrme models

Incarnations of instantons

Fractional vortex molecules and vortex polygons in a baby Skyrme model

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