Magnetothermodynamics of BPS baby skyrmions

Abstract

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.

arXiv commentLatex, 39 pages, 14 figures. v2: New results and references added, physical interpretation partly changed

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Cited by in corpus (16)

• Baby Skyrme Model, Near-BPS Approximations and Supersymmetric Extensions
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• Crystals of superconducting Baryonic tubes in the low energy limit of QCD at finite density
• Classifying BPS States in Supersymmetric Gauge Theories Coupled to Higher Derivative Chiral Models
• Analytic crystals of solitons in the four dimensional gauged non-linear sigma model
• Pion crystals hosting topologically stable baryons
• Baryon chemical potential and in-medium properties of BPS skyrmions
• Gauged Aloof Baby Skyrme Model
• Magnetic response of baryon properties in a skyrmion model
• Gauged BPS baby Skyrmions with quantised magnetic flux
• Analytic Baby Skyrmions at Finite Density
• Higher Derivative Supersymmetric Nonlinear Sigma Models on Hermitian Symmetric Spaces, and BPS States Therein
• Instantons in Lifshitz Field Theories
• Existence of a supersymmetric extension of the gauged non-linear $\Sigma$-model and the transition from integrability to chaos
• Radial Stabilization of Magnetic Skyrmions Under Strong External Magnetic Field
• Restricted baby Skyrme-Maxwell theory in a magnetic medium: BPS configurations and some properties