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Hamiltonian systems of Calogero-type, and two-dimensional Yang-Mills theory. (English) Zbl 1007.81547


MSC:

81T40 Two-dimensional field theories, conformal field theories, etc. in quantum mechanics
81R10 Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations
81T13 Yang-Mills and other gauge theories in quantum field theory
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References:

[1] Atyah, M. F.; Bott, R., Topology, 23, 1 (1984)
[2] Witten, E., Two dimensional gauge theory revisited, IASSNS-HEP-92/15 (March 1992), preprint
[3] Keski-Vakkuri, E.; Niemi, A. J.; Semenoff, G.; Tirkkonen, O., Phys. Rev., D44, 3899 (1991)
[4] Sutherland, Phys. Rev., A5, 1372 (1972)
[5] Perelomov, A. M.; Olshanetsky, M. A., Phys. Rep., 71, 5 (1981)
[6] Kazhdan, D.; Kostant, B.; Sternberg, S., Commun. Pure Appl. Math., 31, 481 (1978)
[7] Perelomov, A. M.; Olshanetsky, M. A., Phys. Rep., 94, 6 (1983)
[8] Heckmann, G. J., Integrable systems and reflection groups, (Notes Autumn School on Geometry of hamiltonian systems. Notes Autumn School on Geometry of hamiltonian systems, Woudschoten, Netherlands (November 1992)), unpublished
[9] Polychronakos, A. P., Phys. Lett., B266, 29 (1991)
[10] Polychronakos, A. P., Nucl. Phys., B324, 597 (1989)
[11] Brink, L.; Hansson, T. H.; Konstein, S.; Vasiliev, M. A., The Calogero model-anyonic representation, fermionic extension and supersymmetry, USITP-92-14, Göteborg ITP-92-53 (January 1993), preprint
[12] Bourbaki, N., Groupes et algébres de Lie (1981), Masson: Masson Paris, chs. 4-6 · Zbl 0483.22001
[13] Zelobenko, D. P., Compact Lie group and their representations, (Translations of Mathematical Monographs, Vol. 40 (1978), American Mathematical Society: American Mathematical Society Providence, RI) · Zbl 0272.22006
[14] Migdal, A., Sov. Phys. JETP, 42, 413 (1975)
[15] Rusakov, B., Mod. Phys. Lett., A5, 693 (1990)
[17] Kharchev, S., Nucl. Phys., B380, 181 (1992)
[18] Harish-Chandra, Amer. J. Math., 79, 87 (1957)
[21] Alekseev, A.; Shatashvili, S., Nucl. Phys., B323, 719 (1989)
[22] Airault, H.; McKean, H.; Moser, J., Commun. Pure Appl. Math., 30, 95 (1977)
[24] Avan, J.; Jevicki, A., Phys. Lett., B266, 35 (1991)
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