TY - JOUR
T1 - Relations among topological solitons
AU - Nitta, Muneto
N1 - Funding Information:
This work is supported in part by the JSPS Grant-in-Aid for Scientific Research (KAKENHI Grants No. JP18H01217 and No. JP22H01221).
Publisher Copyright:
© 2022 authors. Published by the American Physical Society.
PY - 2022/5/15
Y1 - 2022/5/15
N2 - We clarify relations among topological solitons in various dimensions: a domain wall, non-Abelian vortex, magnetic monopole, and Yang-Mills instanton, together with a (non-Abelian) sine-Gordon soliton, baby skyrmion (lump), and skyrmion. We construct a composite configuration consisting of a domain wall, vortex, magnetic monopole, and Yang-Mills instanton (wall-vortex-monopole-instanton) using the effective theory technique or moduli approximation. Removing some solitons from such a composite, we obtain all possible composite solitons in the form of solitons within a soliton, including all the previously known configurations, yielding relations among topological solitons.
AB - We clarify relations among topological solitons in various dimensions: a domain wall, non-Abelian vortex, magnetic monopole, and Yang-Mills instanton, together with a (non-Abelian) sine-Gordon soliton, baby skyrmion (lump), and skyrmion. We construct a composite configuration consisting of a domain wall, vortex, magnetic monopole, and Yang-Mills instanton (wall-vortex-monopole-instanton) using the effective theory technique or moduli approximation. Removing some solitons from such a composite, we obtain all possible composite solitons in the form of solitons within a soliton, including all the previously known configurations, yielding relations among topological solitons.
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U2 - 10.1103/PhysRevD.105.105006
DO - 10.1103/PhysRevD.105.105006
M3 - Article
AN - SCOPUS:85130127706
SN - 2470-0010
VL - 105
JO - Physical Review D
JF - Physical Review D
IS - 10
M1 - 105006
ER -