Inflating baby-Skyrme branes in six dimensions

Brihaye, Yves; Delsate, Térence; Kodama, Yuta; Sawado, Nobuyuki

doi:10.1103/physrevd.82.106002

Cited by 23 publications

(26 citation statements)

References 34 publications

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“…The baby Skyrme model was introduced originally as a planar analogue of the three dimensional Skyrme model [18]- [31], although it has found its own applications, e.g., in condensed matter physics [32,33] or in brane cosmology [34][35][36]. Its target space is simplified accordingly, as well (S 2 instead of the SU(2) target space of the Skyrme model), such that static field configurations again can be classified by a winding number.…”

Section: Jhep05(2013)108mentioning

confidence: 99%

“…First of all, our BPS equations hold completely generally for any N = 2 supersymmetric field theory of (gauged or ungauged) chiral superfields, so it can obviously be used to find BPS equations for other models. Baby Skyrmions as such have found some applications in brane cosmology [34][35][36], so their supersymmetric extensions may be of interest in this context. Another interesting issue is related to generalizations to higher dimensions.…”

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%

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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“…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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“…It plays also an important role in the holographic study of QCD [3]. Furthermore, its low-dimensional analogues have been applied to condensed matter [4,5] or cosmology [6][7][8]. More recently phenomena like K-inflation [9] or K-essence [10] have been described in terms of higher-derivative field theories.…”

Section: Introductionmentioning

confidence: 99%

Supersymmetric Galileons and auxiliary fields in 2+1 dimensions

Queiruga

2017

Phys. Rev. D

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In this work we study various aspects of supersymmetric three-dimensional higher-derivative field theories.We classify all possible models without derivative terms of the auxiliary field in the fermionic sector and find that scalar field theories of the form P (X, φ), where X = −(∂φ) 2 /2, belong to this kind of models. A ghost-free supersymmetric extension of Galileon models is found in three spacetime dimensions. Finally, the auxiliary field problem is discussed.

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Inflating baby-Skyrme branes in six dimensions

Cited by 23 publications

References 34 publications

Extended supersymmetry and BPS solutions in baby Skyrme models

Extended supersymmetry and BPS solutions in baby Skyrme models

Magnetothermodynamics of BPS baby skyrmions

Supersymmetric Galileons and auxiliary fields in 2+1 dimensions

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