Holographic QCD Matter: Chiral Soliton Lattices in Strong Magnetic Field
arXiv:2507.16897 · doi:10.1007/JHEP02(2026)240
Abstract
We investigate the chiral soliton lattice (CSL) in the framework of holographic QCD in magnetic field. Under appropriate boundary conditions for the gauge field and the quark mass deformation, we demonstrate that the ground state in the gravitational dual of QCD is given by the CSL in the background magnetic field and the baryon number density. In the presence of the background magnetic field, we show that the CSL is interpreted as a uniformly distributed D4-branes in the holographic setup, where the chiral soliton is identified with a non-self-dual instanton vortex or a center vortex in the five dimensional bulk gauge theory. While the baryon numbers are given to chiral solitons as well as Skyrmions due to the different terms in the Wess-Zumino-Witten (WZW) term in the chiral perturbation theory, these baryon numbers with different origins are unified in terms of the instanton charge density in five dimensions. With bulk analysis of the WZW term, we find that the pion decay constant becomes dependent on the magnetic field. For the massless pion case, we obtain an analytical form that is in qualitative agreement with lattice QCD results for strong magnetic fields.
38 pages, 6 figures, feedback is welcome, JHEP version
References in corpus (45)
- Quantum Anomalies in Dense Matter
- Chiral Dynamics of Baryons from String Theory
- Axial anomaly and magnetism of nuclear and quark matter
- Instantons in the Higgs Phase
- Holographic Duals of Long Open Strings
- Quark mass and condensate in HQCD
- An AdS/QCD model from tachyon condensation: II
- Skyrmions from Instantons inside Domain Walls
- Tachyon condensation and quark mass in modified Sakai-Sugimoto model
- Magnetic properties of dense holographic QCD
- Josephson vortices and the Atiyah-Manton construction
- Correspondence between Skyrmions in 2+1 and 3+1 Dimensions
- Matryoshka Skyrmions
- Domain wall Skyrmions
- Quark Mass Deformation of Holographic Massless QCD
- Incarnations of Skyrmions
- Domain Walls with Non-Abelian Clouds
- Intersecting Solitons, Amoeba and Tropical Geometry
- Anomalous electrodynamics of neutral pion matter in strong magnetic fields
- Magnetized baryonic matter in holographic QCD
- Meson supercurrents and the Meissner effect in the Sakai-Sugimoto model
- Non-Abelian Sine-Gordon Solitons: Correspondence between Skyrmions and Lumps
- Relations among topological solitons
- Topological term, QCD anomaly, and the eta' chiral soliton lattice in rotating baryonic matter
- Phases of rotating baryonic matter: non-Abelian chiral soliton lattices, antiferro-isospin chains, and ferri/ferromagnetic magnetization
- Chiral anomaly induces superconducting baryon crystal
- Anomaly-Induced Inhomogeneous Phase in Quark Matter without the Sign Problem
- QCD phase structure under rotation
- Chiral soliton lattice phase in warm QCD
- Phase diagram of QCD matter with magnetic field: domain-wall Skyrmion chain in chiral soliton lattice
- Quantum nucleation of topological solitons
- Formation of Chiral Soliton Lattice
- Anomalous low-temperature thermodynamics of QCD in strong magnetic fields
- Chiral Magnets from String Theory
- Competition of chiral soliton lattice and Abrikosov vortex lattice in QCD with isospin chemical potential
- Heavy Holographic QCD
- Quasicrystals in QCD
- Chiral soliton lattice at next-to-leading order
- Magnetic enhancement of baryon confinement modeled via a deformed Skyrmion
- Neutron stars in the Witten-Sakai-Sugimoto model
- Chiral Condensate in Holographic QCD with Baryon Density
- Spin Statistics and Surgeries of Topological Solitons in QCD Matter in Magnetic Field
- Boundary terms in the Witten-Sakai-Sugimoto model at finite density
- 4D effective action from non-Abelian DBI action with magnetic flux background
- Solitonic ground state in supersymmetric theory in background