Existence of a supersymmetric extension of the gauged non-linear $\Sigma$-model and the transition from integrability to chaos

Abstract

The non-linear $\Sigma$-Model minimally coupled with Maxwell theory in $3+1$ dimensions possesses a topologically non-trivial sector characterized by ``lasagna''-like configurations. We demonstrate that, when a specific quantization condition is met, the associated second-order field equations admit a first-order Bogomol'nyi-Prasad-Sommerfield system. This discloses a hidden $(1+1)$-dimensional supersymmetry with $\mathcal{N}=2$ supercharges. We examine the supersymmetric imprint on the time-dependent regime, with particular emphasis on the transition from integrability to chaos.

arXiv comment34 pages, 2 figures. Presentation improved and title changed according to referee suggestions. Replaced by revised version, to be published in Phis. Rev. D

References in corpus (57)

• M Theory As A Matrix Model: A Conjecture
• A bound on chaos
• Chiral effective field theory and nuclear forces
• Chiral perturbation theory
• QCD and strongly coupled gauge theories: challenges and perspectives
• Mapping the Phases of Quantum Chromodynamics with Beam Energy Scan
• On the Foundations of Chiral Perturbation Theory
• Inhomogeneous chiral condensates
• Disordered nuclear pasta, magnetic field decay, and crust cooling in neutron stars
• Inhomogeneous Condensates in the Thermodynamics of the Chiral NJL_2 model
• Bogomol'nyi solitons in a gauged $O(3)$ sigma model
• Finite-density lattice QCD and sign problem: current status and open problems
• Analytic self-gravitating Skyrmions, cosmological bounces and AdS wormholes
• Full Phase Diagram of the Massive Gross-Neveu Model
• Chiral Soliton Lattice and Charged Pion Condensation in Strong Magnetic Fields
• Hedgehog ansatz and its generalization for self-gravitating Skyrmions
• Parking-garage structures in astrophysics and biophysics
• Phonons, pions and quasi-long-range order in spatially modulated chiral condensates
• Anomalous effects of dense matter under rotation
• Generalized Euler Angle Parameterization for U(N) with Applications to SU(N) Coset Volume Measures
• Non-linear superposition law and Skyrme crystals
• Skyrme-Maxwell Solitons in (2+1) Dimensions
• Out-of-time-order correlator in coupled harmonic oscillators
• Exact multi-soliton solutions in the four dimensional Skyrme model
• Ordered arrays of Baryonic tubes in the Skyrme model in (3+1) dimensions at finite density
• Integrability and chemical potential in the (3+1)-dimensional Skyrme model
• On the Euler angles for SU(N)
• A supersymmetric Skyrme model
• Time-Dependent Hartree-Fock Solution of Gross-Neveu models: Twisted Kink Constituents of Baryons and Breathers
• SO(3) Gauged Soliton of an O(4) Sigma Model on $R_3$
• Equation of state of imbalanced cold matter from chiral perturbation theory
• Inhomogeneous chiral condensate in the quark-meson model
• Analytic (3+1)-dimensional gauged Skyrmions, Heun and Whittaker-Hill equations and resurgence
• Exact Kink Solitons in Skyrme Crystals
• Electron transport through nuclear pasta in magnetized neutron stars
• Transport properties of nuclear pasta phase with quantum molecular dynamics
• Analytic topologically non-trivial solutions of the (3+1)-dimensional $U(1)$ gauged Skyrme model and extended duality
• Pion crystals hosting topologically stable baryons
• Topological solitons in the supersymmetric Skyrme model
• SU(N) Multi-Skyrmions at Finite Volume
• Phase structure of the 1+1 dimensional Nambu--Jona-Lasinio model with isospin
• Two Species of Vortices in a massive Gauged Non-linear Sigma Model
• Analytic Studies of Static and Transport Properties of (Gauged) Skyrmions
• Phase transitions and symmetry energy in nuclear pasta
• Magnetothermodynamics of BPS baby skyrmions
• Analytic multi-Baryonic solutions in the SU(N)-Skyrme model at finite density
• Quantum chaos in supersymmetric quantum mechanics: an exact diagonalization study
• Thermal QCD in a non-uniform magnetic background
• Cooking pasta with Lie groups
• A two-dimensional soliton system in the Maxwell-Chern-Simons gauge model
• Duality study of chiral Heisenberg Gross-Neveu model in 1+1 dimensions
• Chiral spiral in the presence of chiral imbalance
• First-order phase boundaries of the massive 1+1 dimensional Nambu--Jona-Lasinio model with isospin
• One-Loop Non-Planar Anomalous Dimensions in Super Yang-Mills Theory
• Anisotropic electron transport in the nuclear pasta phase
• Gross-Neveu model with O(2)${}_L\times$O(2)${}_R$ chiral symmetry: Duality with Zakharov-Mikhailov model and large $N$ solution
• Supersymmetric solutions of the cosmological, gauged, C magic model