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All Outputs (4)

The Geometry of Point Particles (2002)
Journal Article
Atiyah, M., & Sutcliffe, P. (2002). The Geometry of Point Particles. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 458(2021), 1089-1115. https://doi.org/10.1098/rspa.2001.0913

There is a very natural map from the configuration space of n distinct points in Euclidean 3-space into the flag manifold U(n)/U(1)n, which is compatible with the action of the symmetric group. The map is well defined for all configurations of points... Read More about The Geometry of Point Particles.

Skyrmions, Fullerenes and Rational Maps (2002)
Journal Article
Battye, R., & Sutcliffe, P. (2002). Skyrmions, Fullerenes and Rational Maps. Reviews in Mathematical Physics, 14(1), 29-85. https://doi.org/10.1142/s0129055x02001065

We apply two very different approaches to calculate Skyrmions with baryon number B ≤ 22. The first employs the rational map ansatz, where approximate charge B Skyrmions are constructed from a degree B rational map between Riemann spheres. We use a si... Read More about Skyrmions, Fullerenes and Rational Maps.