A q-Virasoro algebra at roots of unity, free fermions, and Temperley-Lieb hamiltonians

作者: Alessandro Nigro

DOI: 10.1063/1.4945084

关键词:

摘要: … started by the analysis of the free fermion point of Ref. 77. M. … realized as a deformed free fermion. It was originally expected … where we require periodic boundary conditions Γ i+2D = Γ i . …

参考文章(13)
Alessandro Nigro, Lattice integrals of motion of the Ising model on the cylinder Physica A: Statistical Mechanics and its Applications. ,vol. 392, pp. 1133- 1141 ,(2013) , 10.1016/J.PHYSA.2012.10.043
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
M. Chaichian, D. Ellinas, Z. Popowicz, Quantum conformal algebra with central extension Physics Letters B. ,vol. 248, pp. 95- 99 ,(1990) , 10.1016/0370-2693(90)90021-W
Haru-Tada Sato, q -Virasoro operators from an analogue of the Noether currents European Physical Journal C. ,vol. 70, pp. 349- 355 ,(1996) , 10.1007/S002880050113
M. Chaichian, P. Kulish, J. Lukierski, q-deformed Jacobi identity, q-oscillators and q-deformed infinite-dimensional algebras Physics Letters B. ,vol. 237, pp. 401- 406 ,(1990) , 10.1016/0370-2693(90)91196-I
W.M. Koo, H. Saleur, Representations of the Virasoro algebra from lattice models Nuclear Physics. ,vol. 426, pp. 459- 504 ,(1994) , 10.1016/0550-3213(94)90018-3
Vladimir V. Bazhanov, Sergei L. Lukyanov, Alexander B. Zamolodchikov, Integrable structure of conformal field theory, quantum KdV theory and thermodynamic Bethe ansatz Communications in Mathematical Physics. ,vol. 177, pp. 381- 398 ,(1996) , 10.1007/BF02101898
M. Chaichian, P. Prešnajder, Sugawara construction and the q-deformation of Virasoro (super)algebra Physics Letters B. ,vol. 277, pp. 109- 118 ,(1992) , 10.1016/0370-2693(92)90965-7
T.L. Curtright, C.K. Zachos, Deforming maps for quantum algebras Physics Letters B. ,vol. 243, pp. 237- 244 ,(1990) , 10.1016/0370-2693(90)90845-W
Jun'Ichi Shiraishi, Satoru Odake, Harunobu Kubo, Hidetoshi Awata, A Quantum deformation of the Virasoro algebra and the Macdonald symmetric functions Letters in Mathematical Physics. ,vol. 38, pp. 33- 51 ,(1996) , 10.1007/BF00398297