Hopf solitons from instanton holonomy

Nonlinearity

Volumn 14, Issue 6, 2001, Pages 1543-1554

  Ward, R S ^a  

^a DURHAM UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035511450     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/14/6/307     Document Type: Article

References (34)

1. Manton N S 1982 A remark on the scattering of BPS monopoles Phys. Lett. B 110 54-6
2. Manton N S 1988 Unstable manifolds and soliton dynamics Phys. Rev. Lett. 60 1916-9
3. Atiyah M F and Manton N S 1989 Skyrmions from instantons Phys. Lett. B 222 438-42
4. Hosaka A, Griffies S M, Oka M and Amado R D 1990 Two Skyrmion interaction for the Atiyah-Manton ansatz Phys. Lett. B 251 1-5
5. Atiyah M F and Manton N S 1993 Geometry and kinematics of two Skyrmions Commun. Math. Phys. 152 391-422
6. Leese R A, Manton N S and Schroers B J 1995 Attractive channel Skyrmions and the deuteron Nucl. Phys. B 442 228-67
7. Leese R A and Manton N S 1995 Stable instanton-generated Skyrme fields with baryon numbers three and four Nucl. Phys. A 572 575
8. Ioannidou T 2000 SU(N) Skyrmions from instantons Nonlinearity 13 1217-25
9. 1 instantons Phys. Lett. B 283 85-9
10. Sutcliffe P M 1995 Kink chains from instantons on a torus Nonlinearity 8 411-21
11. Cooper N R 1999 'Smoke rings' in ferromagnets Phys. Rev. Lett. 82 1554
12. Faddeev L 1976 Lett. Math. Phys. 1 289 (Faddeev L 1975 Quantisation of solitons Preprint IAS Print-75-QS70, Princeton)
13. Faddeev L 1976 Lett. Math. Phys. 1 289 (Faddeev L 1975 Quantisation of solitons Preprint IAS Print-75-QS70, Princeton)
14. 2 in the nonlinear σ-model Sov. Phys. Dokl. 24 433-4
15. Kundu A and Rybakov Yu P 1982 Closed-vortex-type solitons with Hopf index J. Phys. A: Math. Gen. 15 269-75
16. Faddeev L and Niemi A J 1997 Stable knot-like structures in classical field theory Nature 387 58-61
17. Gladikowski J and Hellmund M 1997 Static solitons with nonzero Hopf number Phys. Rev. D 56 5194-9
18. Battye R A and Sutcliffe P M 1998 To be or knot to be? Phys. Rev. Lett. 81 4798-801
19. Battye R A and Sutcliffe P M 1999 Solitons, links and knots Proc. R. Soc. A 455 4305-31
20. Hietarinta J and Salo P 1999 Faddeev-Hopf knots: dynamics of linked un-knots Phys. Lett. B 451 60-7
21. 3 Nonlinearity 12 241-6
22. Ward R S 2000 The interaction of two Hopf solitons Phys. Lett. B 473 291-6
23. Hietarinta J and Salo P 2000 Ground state in the Faddeev-Skyrme model Phys. Rev. D 62 081701
24. Atiyah M F 1984 Magnetic monopoles in hyperbolic space Proc. Int. Coll. on Vector Bundles (Bombay: Tata Institute and Oxford University Press)
25. Nash C 1986 Geometry of hyperbolic monopoles J. Math. Phys. 27 2160-4
26. Jackiw R, Nohl C and Rebbi C 1977 Conformal properties of pseudoparticle configurations Phys. Rev. D 15 1642-6
27. Walet N R 1995 The kinetic energy and the geometric structure in the B = 2 sector of the Skyrme model: a study using the Atiyah-Manton ansatz Nucl. Phys. A 586 649
28. Walet N R 1996 Quantising the B = 2 and B = 3 Skyrmion systems Nucl. Phys. A 606 429-58
29. Houghton C J 1999 Instanton vibrations of the 3-Skyrmion Phys. Rev. D 60 105003 (Houghton C J 1999 Preprint hep-th/9905009)
30. Houghton C J 1999 Instanton vibrations of the 3-Skyrmion Phys. Rev. D 60 105003 (Houghton C J 1999 Preprint hep-th/9905009)
31. Battye R A and Sutcliffe P M 2001 Solitonic fullerenes Phys. Rev. Lett. 86 3989-92 (Battye R A and Sutcliffe P M 2000 Preprint hep-th/0012215)
32. Battye R A and Sutcliffe P M 2001 Solitonic fullerenes Phys. Rev. Lett. 86 3989-92 (Battye R A and Sutcliffe P M 2000 Preprint hep-th/0012215)
33. Battye R A and Sutcliffe P M 2001 Skyrmions, fullerenes and rational maps Preprint hep-th/0103026
34. Houghton C J, Manton N S and Sutcliffe P J 1998 Rational maps, monopoles and Skyrmions Nucl. Phys. B 510 507-37