Nonaxisymmetric baby-Skyrmion branes

Delsate, Térence; Hayasaka, Masahiro; Sawado, Nobuyuki

doi:10.1103/physrevd.86.125009

Cited by 11 publications

(14 citation statements)

References 33 publications

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“…The baby Skyrme model in d = 2 space dimensions [46] - [49] has been studied quite intensely, both as a toy model for the full Skyrme model and because it has some independent applications, mainly in condensed matter physics (see,e.g., [50], [51]). The investigation of Skyrme models in higher dimensions has not been developed thus far until now, although they, too, may be of some interest, e.g., in the context of brane cosmology [52] - [54]. The central idea of brane cosmology is that our 3 + 1 dimensional universe is a topological defect within a higher-dimensional bulk universe [55], [56].…”

Section: Skyrme Models In Different Dimensionsmentioning

confidence: 99%

Topological energy bounds in generalized Skyrme models

Adam

Wereszczyński

2014

Phys. Rev. D

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The Skyrme model has a natural generalization amenable to a standard hamiltonian treatment, consisting of the standard sigma model and the Skyrme terms, a potential, and a certain term sextic in first derivatives. Here we demonstrate that, in this theory, each pair of terms in the static energy functional which may support topological solitons according to the Derrick criterion (i.e., each pair of terms with opposite Derrick scaling) separately posesses a topological energy bound. As a consequence, there exists a four-parameter family of topological bounds for the full generalized Skyrme model. The optimal bounds, i.e., the optimal values of the parameters, depend both on the form of the potential and on the relative strength of the different terms. It also follows that various submodels of the generalized Skyrme model have one-parameter families of topological energy bounds. We also consider the case of topological bounds for the generalized Skyrme model on a compact base space as well as generalizations to higher dimensions.

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Section: Skyrme Models In Different Dimensionsmentioning

confidence: 99%

Topological energy bounds in generalized Skyrme models

Adam

Wereszczyński

2014

Phys. Rev. D

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“…To overcome the computational difficulties and learn something about the electromagnetic properties of BPS Skyrme type solitons, one can analyze lower-dimensional analogs, as has been done successfully already in many occasions. In fact, there exists a (2 + 1) dimensional version of the Skyrme model, usually referred to as the baby Skyrme model, which supports solitonic solutions (baby skyrmions) [22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38] (for the gauged version see [39,40]). This field theory also possesses its BPS limit, whose Lagrangian consists of the (2+1) dimensional version of the Skyrme term and a potential [41][42][43].…”

Section: Jhep11(2014)095mentioning

confidence: 99%

Magnetothermodynamics of BPS baby skyrmions

Adam

Romańczukiewicz

Sánchez-Guillén

et al. 2014

J. High Energ. Phys.

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The magnetothermodynamics of skyrmion type matter described by the gauged BPS baby Skyrme model at zero temperature is investigated. We prove that the BPS property of the model is preserved also for boundary conditions corresponding to an asymptotically constant magnetic field. The BPS bound and the corresponding BPS equations saturating the bound are found. Further, we show that one may introduce pressure in the gauged model by a redefinition of the superpotential. Interestingly, this is related to non-extremal type solutions in the so-called fake supersymmetry method. Finally, we compute the equation of state of magnetized BSP baby skyrmions inserted into an external constant magnetic field H and under external pressure P , i.e., V = V (P, H), where V is the "volume" (area) occupied by the skyrmions. We show that the BPS baby skyrmions form a ferromagnetic medium.

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“…We can write (20) in a more suggestive way taking into account the on-shell solution for the auxiliary field (13) in the supersymmetric version of the model:…”

Section: Bps Equation and Supersymmetrymentioning

confidence: 99%

“…This reduced model, thought as a planar analogue of the Skyrme model, with similar topological properties can contribute to the understanding of the latter, but also has its own applications in different areas in theoretical physics, for example in condensed matter [9] and [10], or cosmology [11][12][13].…”

Section: Introductionmentioning

confidence: 99%

Baby Skyrme model and fermionic zero modes

Queiruga

2016

Phys. Rev. D

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In this work we investigate some features of the fermionic sector of the supersymmetric version of the baby Skyrme model. We find that, in the background of BPS compact baby Skyrmions, fermionic zero modes are confined to the defect core. Further, we show that, while three supersymmetric (SUSY) generators are broken in the defect core, SUSY is completely restored outside.We study also the effect of a D-term deformation of the model. Such a deformation allows for the existence of fermionic zero modes and broken SUSY outside the compact defect.

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Nonaxisymmetric baby-Skyrmion branes

Cited by 11 publications

References 33 publications

Topological energy bounds in generalized Skyrme models

Topological energy bounds in generalized Skyrme models

Magnetothermodynamics of BPS baby skyrmions

Baby Skyrme model and fermionic zero modes

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