Topological solitons in the supersymmetric Skyrme model

Abstract

A supersymmetric extension of the Skyrme model was obtained recently, which consists of only the Skyrme term in the Nambu-Goldstone (pion) sector complemented by the same number of quasi-Nambu-Goldstone bosons. Scherk-Schwarz dimensional reduction yields a kinetic term in three or lower dimensions and a potential term in two dimensions, preserving supersymmetry. Euclidean solitons (instantons) are constructed in the supersymmetric Skyrme model. In four dimensions, the soliton is an instanton first found by Speight. Scherk-Schwarz dimensional reduction is then performed once to get a 3-dimensional theory in which a 3d Skyrmion-instanton is found and then once more to get a 2d theory in which a 2d vortex-instanton is obtained. Although the last one is a global vortex it has finite action in contrast to conventional theory. All of them are non-BPS states breaking all supersymmetries.

arXiv commentLaTeX: 20 pages, 3 figures; V2: typos corrected

References in corpus (45)

• Solitons in the Higgs phase -- the moduli matrix approach --
• Periodic Instantons with non-trivial Holonomy
• Resurgence and Trans-series in Quantum Field Theory: The CP(N-1) Model
• Monopole Constituents inside SU(n) Calorons
• A Skyrme-type proposal for baryonic matter
• Monopoles and Instantons on Partially Compactified D-Branes
• Instantons in the Higgs Phase
• Magnetic Monopole Dynamics, Supersymmetry, and Duality
• A measurement of the Q^2, W and t dependences of deeply virtual Compton scattering at HERA
• Skyrmions, instantons and holography
• Continuity and Resurgence: towards a continuum definition of the CP(N-1) model
• A BPS Skyrme model and baryons at large Nc
• Non-Abelian Vortices on Cylinder -- Duality between vortices and walls
• Gauge k-vortices
• Light Nuclei of Even Mass Number in the Skyrme Model
• Supersymmetric P(X,phi) and the Ghost Condensate
• Skyrmions in a truncated BPS theory
• Neutral bions in the $\mathbb{C}{P}^{N-1}$ model
• States of Carbon-12 in the Skyrme Model
• Compact gauge K vortices
• N=1 supersymmetric extension of the baby Skyrme model
• Incarnations of Skyrmions
• Extended Supersymmetry and BPS solutions in baby Skyrme models
• BPS Solutions to a Generalized Maxwell-Higgs Model
• BPS States in Supersymmetric Chiral Models with Higher Derivative Terms
• A supersymmetric Skyrme model
• Baby Skyrme Model, Near-BPS Approximations and Supersymmetric Extensions
• Fractional instantons and bions in the O(N) model with twisted boundary conditions
• Supersymmetric DBI inflation
• Classifying BPS States in Supersymmetric Gauge Theories Coupled to Higher Derivative Chiral Models
• Higher Derivative Corrections to Manifestly Supersymmetric Nonlinear Realizations
• Non-BPS exact solutions and their relation to bions in $\mathbb{C}{P}^{N-1}$ models
• Fractional instantons and bions in the principal chiral model on ${\mathbb{R}}^2\times S^1$ with twisted boundary conditions
• The Supersymmetric Extension of the Faddeev model
• Chains of Skyrmions
• Ghostbusters in higher derivative supersymmetric theories: who is afraid of propagating auxiliary fields?
• Skyrme-like models and supersymmetry in 3+1 dimensions
• Skyrmions confined as beads on a vortex ring
• Fractionalized Non-Self-Dual Solutions in the CP(N-1) Model
• Baby Skyrme model and fermionic zero modes
• Effective field theories on solitons of generic shapes
• Electromagnetic Transition Strengths for Light Nuclei in the Skyrme model
• A Skyrme model approach to the spin-orbit force
• A pure Skyrme instanton
• Electron Scattering Intensities and Patterson Functions of Skyrmions

Cited by in corpus (27)

• BPS soliton-impurity models and supersymmetry
• The BPS property and its breaking in 1+1 dimensions
• A higher-order Skyrme model
• Higher derivative three-form gauge theories and their supersymmetric extension
• Supersymmetry Breaking in Spatially Modulated Vacua
• Topological couplings in higher derivative extensions of supersymmetric three-form gauge theories
• Near-BPS baby Skyrmions
• Ghost-free vector superfield actions in supersymmetric higher-derivative theories
• Gauged BPS baby Skyrmions with quantised magnetic flux
• Supersymmetry breaking and ghost Goldstino in modulated vacua
• Complex BPS Skyrmions with real energy
• Atiyah-Manton Construction of Skyrmions in Eight Dimensions
• SUSY Chern-Simons ${\mathbb{CP}}^N$ and baby Skyrme models and their BPS structures
• Background fields and self-dual Skyrmions
• Self-dual solitons in a Maxwell-Chern-Simons baby Skyrme model
• Solitonic ground state in supersymmetric theory in background
• Ghostbusters in $f(R)$ supergravity
• Near-BPS Skyrmions
• Non-uniqueness of the supersymmetric extension of the $O(3)$ $\sigma$-model
• Higher Derivative Supersymmetric Nonlinear Sigma Models on Hermitian Symmetric Spaces, and BPS States Therein
• Near-BPS baby Skyrmions with Gaussian tails
• Higher-order Skyrme hair of black holes
• Bogomolny equations for the BPS Skyrme models with impurity
• Vacua by Derivative Corrections in $\mathcal{N}=1$ Supergravity with Matter Multiplets
• Existence of a supersymmetric extension of the gauged non-linear $\Sigma$-model and the transition from integrability to chaos
• Restricted baby Skyrme-Maxwell theory in a magnetic medium: BPS configurations and some properties
• Self-dual solitons in a Born-Infeld baby Skyrme model