Pith. sign in

REVIEW 1 cited by

Gauged Sigma Models and Magnetic Skyrmions

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 1905.06285 v2 pith:3J5BG3SX submitted 2019-05-15 hep-th cond-mat.mes-hallmath-phmath.MP

Bernd Schroers This is my paper · ORCID
classification hep-thcond-mat.mes-hallmath-phmath.MP
keywords arbitraryconnectionfieldgaugedmagneticmodelsigmaskyrmions
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
abstract

We define a gauged non-linear sigma model for a 2-sphere valued field and a $SU(2)$ connection on an arbitrary Riemann surface whose energy functional reduces to that for critically coupled magnetic skyrmions in the plane, with arbitrary Dzyaloshinskii-Moriya interaction, for a suitably chosen gauge field. We use the interplay of unitary and holomorphic structures to derive a general solution of the first order Bogomol'nyi equation of the model for any given connection. We illustrate this formula with examples, and also point out applications to the study of impurities

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. Higher-dimensional magnetic Skyrmions

    cond-mat.mes-hall 2024-11 conditional novelty 7.0 of 10

    Three-dimensional magnetic Skyrmions with an S³ target space are proposed, with a generalized DMI yielding a stable Skyrmion, a sphaleron, and a metastable small Skyrmion in the hybrid model.

Pith tools