Infinite dimensional symmetries in massive integrable models

作者： Hidetoshi Awata

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摘要: We review some recent results on the Calogero-Sutherland and Ruijsenaars models massive integrable with emphasis upon their algebraic aspects.

参考文章(25)

Edward Frenkel, Boris Feigin, Quantum $\scr W$-algebras and elliptic algebras Communications in Mathematical Physics. ,vol. 178, pp. 653- 677 ,(1996) , 10.1007/BF02108819

HIDETOSHI AWATA, HARUNOBU KUBO, YOSHIFUMI MORITA, SATORU ODAKE, JUN'ICHI SHIRAISHI, Vertex Operators of the $q$-Virasoro Algebra; Defining Relations, Adjoint Actions and Four Point Functions Letters in Mathematical Physics. ,vol. 41, pp. 65- 78 ,(1997) , 10.1023/A:1007321109584

J. Shiraishi, S. Odake, H. Kubo, H. Awata, Quantum 401-1401-1401-1algebras and Macdonald polynomials Communications in Mathematical Physics. ,vol. 179, pp. 401- 415 ,(1996) , 10.1007/BF02102595

Sergei Lukyanov, A note on the deformed Virasoro algebra Physics Letters B. ,vol. 367, pp. 121- 125 ,(1996) , 10.1016/0370-2693(95)01410-1

Omar Foda, Tetsuji Miwa, Kei Miki, Atsushi Nakayashiki, Michio Jimbo, Vertex operators in solvable lattice models Journal of Mathematical Physics. ,vol. 35, pp. 13- 46 ,(1994) , 10.1063/1.530783

Brian Davies, Omar Foda, Michio Jimbo, Tetsuji Miwa, Atsushi Nakayashiki, Diagonalization of the $XXZ$ Hamiltonian by vertex operators Communications in Mathematical Physics. ,vol. 151, pp. 89- 153 ,(1993) , 10.1007/BF02096750

Edward Frenkel, Nikolai Reshetikhin, Quantum affine algebras and deformations of the Virasoro and 237-1237-1237-1 Communications in Mathematical Physics. ,vol. 178, pp. 237- 264 ,(1996) , 10.1007/BF02104917

Katsuhisa Mimachi, Yasuhiko Yamada, Singular vectors of the Virasoro algebra in terms of Jack symmetric polynomials Communications in Mathematical Physics. ,vol. 174, pp. 447- 455 ,(1995) , 10.1007/BF02099610

Jun'ichi Shiraishi, Satoru Odake, Hidetoshi Awata, Yutaka Matsuo, Excited states of the Calogero-Sutherland model and singular vectors of the WN algebra Nuclear Physics. ,vol. 449, pp. 347- 374 ,(1995) , 10.1016/0550-3213(95)00286-2

H. Awata, Y. Matsuo, S. Odake, J. Shiraishi, Collective field theory, Calogero-Sutherland model and generalized matrix models Physics Letters B. ,vol. 347, pp. 49- 55 ,(1995) , 10.1016/0370-2693(95)00055-P