Pith. sign in

REVIEW 1 cited by

Conserved momenta of ferromagnetic solitons through the prism of differential geometry

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2105.03553 v2 pith:FH5WABFI submitted 2021-05-08 cond-mat.mes-hall math-phmath.MP

Xingjian Di , Oleg Tchernyshyov This is my paper · ORCID
classification cond-mat.mes-hallmath-phmath.MP
keywords momentaconserveddifferentialsolitonssymmetrieswhoseapplicationbackground
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

The relation between symmetries and conservation laws for solitons in a ferromagnet is complicated by the presence of gyroscopic (precessional) forces, whose description in the Lagrangian framework involves a background gauge field. This makes canonical momenta gauge-dependent and requires a careful application of Noether's theorem. We show that Cartan's theory of differential forms is a natural language for this task. We use it to derive conserved momenta of the Belavin--Polyakov skyrmion, whose symmetries include translation, global spin rotation, and dilation.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Anomalous Continuous Translations

    cond-mat.str-el 2024-12 accept novelty 5.0 of 10

    Continuous translations are broken by an ABJ-like anomaly to a discrete non-Abelian symmetry in a broad class of non-relativistic continuum field theories.

Pith tools