TY - JOUR
T1 - Skyrmions confined as beads on a vortex ring
AU - Gudnason, Sven Bjarke
AU - Nitta, Muneto
N1 - Funding Information:
We thank Masayasu Harada and Bing-Ran He for useful discussions. S.B.G. thanks the Recruitment Program of High-end Foreign Experts for support. The work of M.N. is supported in part by a Grant-in-Aid for Scientific Research on Innovative Areas Topological Materials Science (KAKENHI Grant No.15H05855) and Nuclear Matter in Neutron Stars Investigated by Experiments and Astronomical Observations (KAKENHI Grant No.15H00841) from the Ministry of Education, Culture, Sports, Science (MEXT) of Japan. The work of M.N. is also supported in part by the Japan Society for the Promotion of Science (JSPS) Grant-in-Aid for Scientific Research (KAKENHI Grant No.16H03984) and by the MEXT-Supported Program for the Strategic Research Foundation at Private Universities Topological Science (Grant No.S1511006).
Publisher Copyright:
© 2016 American Physical Society.
PY - 2016/7/5
Y1 - 2016/7/5
N2 - A very simple, quadratic potential is used to construct vortex strings in a generalized Skyrme model and an additional quadratic potential is used to embed sine-Gordon-type halfkinks onto the string worldline, yielding half-Skyrmions on a string. The strings are furthermore compactified onto a circle and the halfkinks are forced to appear in pairs; in particular 2B halfkinks (half-Skyrmions) will appear as beads on a ring with B being the number of times the host vortex is twisted and also the baryon number (Skyrmion number) from the bulk point of view. Finally, we construct an effective field theory on the torus, describing the kinks living on the vortex rings.
AB - A very simple, quadratic potential is used to construct vortex strings in a generalized Skyrme model and an additional quadratic potential is used to embed sine-Gordon-type halfkinks onto the string worldline, yielding half-Skyrmions on a string. The strings are furthermore compactified onto a circle and the halfkinks are forced to appear in pairs; in particular 2B halfkinks (half-Skyrmions) will appear as beads on a ring with B being the number of times the host vortex is twisted and also the baryon number (Skyrmion number) from the bulk point of view. Finally, we construct an effective field theory on the torus, describing the kinks living on the vortex rings.
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U2 - 10.1103/PhysRevD.94.025008
DO - 10.1103/PhysRevD.94.025008
M3 - Article
AN - SCOPUS:84978384020
VL - 94
JO - Physical Review D
JF - Physical Review D
SN - 2470-0010
IS - 2
M1 - 025008
ER -