Abstract
Some recent work on vortices, monopoles, and Skyrmions, and the relationships between them, is reviewed. A formula for the volume of certain vortex moduli spaces is presented. Also, it is explained how the similarity between a number of N-monopole and N-Skyrmion solutions can be understood using rational maps.
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M. F. Atiyah and N. J. Hitchin, The Geometry and Dynamics of Magnetic Monopoles, Princeton University Press, 1988.
M. F. Atiyah and N. S. Manton, Comm. Math. Phys. 153 (1993), 391.
C. Barnes, W. K. Baskerville, and N. Turok, Phys. Rev. Lett. 79 (1997), 367.
C. Barnes, W. K. Baskerville, and N. Turok, hep-th/9704028.
R. Bielawski, Bonn preprint, 1997.
R. A. Battye and P. M. Sutcliffe, Phys. Rev. Lett. 79 (1997), 363.
E. B. Bogomolny, Sov. J. Nuclear Phys. 24 (1976), 449.
E. Braaten, S. Townsend, and L. Carson, Phys. Lett. B 235 (1990), 147.
S. K. Donaldson, Comm. Math. Phys. 96 (1984), 387.
G. W. Gibbons and N. S. Manton, Phys. Lett. B 356 (1995), 32.
N. J. Hitchin, Comm. Math. Phys. 83 (1982), 579.
N. J. Hitchin, N. S. Manton, and M. K. Murray, Nonlinearity 8 (1995), 661.
C. J. Houghton and P. M. Sutcliffe, Nonlinearity 9 (1996), 385.
C. J. Houghton and P. M. Sutcliffe, Nuclear Phys. B 464 (1996), 59.
C. J. Houghton, N. S. Manton, and P. M. Sutcliffe, hep-th/9705151; Nuclear Phys. B 510 (1998), 507.
S. Jarvis, A rational map for Euclidean monopoles via radial scattering, Oxford preprint, 1996.
R. A. Leese, N. S. Manton, and B. J. Schroers, Nuclear Phys. B 442 (1995), 228.
N. S. Manton, Phys. Lett. B 110 (1982), 54.
N. S. Manton, Nuclear Phys. B 400 (1993), 624.
N. S. Manton, Ann. Physics 256 (1997), 114.
N. S. Manton and S. M. Nasir, DAMTP preprint, 1997.
N. S. Manton and P. J. Ruback, Phys. Lett. B 181 (1986), 137.
T. M. Samols, Comm. Math. Phys. 145 (1992), 149; Ph.D. thesis, Cambridge University (unpublished).
J. H. Schwarz, private communication.
P. A. Shah and N. S. Manton, J. Math. Phys. 35 (1994), 1171.
G. Segal and A. Selby, Comm. Math. Phys. 177 (1996), 775.
A. Sen, Phys. Lett. B 329 (1994), 217.
T. H. R. Skyrme, Proc. Roy. Soc. A 260 (1961), 127.
D. Stuart, Comm. Math. Phys. 159 (1994), 51.
D. Stuart, Comm. Math. Phys. 166 (1994), 149.
N. R. Walet, Nuclear Phys. A 606 (1996), 429.
T. Waindzoch, Jülich report 3322, 1997.
T. Waindzoch and J. Wambach, Nuclear Phys. A 602 (1996), 347.
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Manton, N.S. (2000). Solitons and Their Moduli Spaces. In: MacKenzie, R., Paranjape, M.B., Zakrzewski, W.J. (eds) Solitons. CRM Series in Mathematical Physics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1254-6_17
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DOI: https://doi.org/10.1007/978-1-4612-1254-6_17
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