The elliptic scattering theory of the 1/2-XYZ and higher order deformed virasoro algebras

Annales Henri Poincare

Volumn 7, Issue 7-8, 2006, Pages 1449-1462

  Fioravanti, Davide ^a,b,c   Rossi, Marco ^d,e  

^a UNIVERSITY OF YORK   (United Kingdom)

^b UNIVERSITY OF TRENTO   (Italy)

^c UNIVERSITY OF BOLOGNA   (Italy)

^d LAPTH   (France)

^e CNRS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33846868183     PISSN: 14240637     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00023-006-0287-3     Document Type: Conference Paper

References (17)

1. J. Shiraishi, H. Kubo, H. Awata, S. Odake, A quantum deformation of the Virasoro algebra and the Macdonald symmetric functions, Lett. Math. Phys. 38 (1996), 33 and q-alg/9507034.
2. A. Luther, Eigenvalue spectrum of interacting massive fermions in one dimension, Phys. Rev. B14, No. 5 (1976), 2153,
3. J.D. Johnson, S. Krinski, B.M. McCoy, Vertical-Arrow correlation length in the eight-vertex model and the low-lying excitations of the XYZ Hamiltonian, Phys. Rev. A8 (1973), 2526.
4. C. Destri, H.J. de Vega, Unified approach to Thermodynamic Bethe Ansatz and finite size corrections for lattice models and field theories, Nucl. Phys. B438 (1995) 413 and hep-th/9407117.
5. J.A. Minahan, K. Zarembo, The Bethe Ansatz for N = 4 super Yang-Mills, JHEP03 (2003), 013 and hep-th/0212208.
6. D. Fioravanti, M. Rossi, From finite geometry exact quantities to (elliptic) scattering amplitudes for spin chains: the 1/2-XYZ, JHEP08(2005), 010 and hep-th/0504122.
7. 4-Symmetric factorized S-matrix in two space-time dimensions, Commun. Math. Phys. 69 (1979), 165.
8. S. Lukyanov, A note on the Deformed Virasoro Algebra, Phys. Lett. B367 (1996) 121 and hep-th/9509037.
9. G. Mussardo, S. Penati, A quantum field theory with infinite resonance states, Nucl. Phys. B567 (2000), 454 and hep-th/9907039.
10. A.B. Zamolodchikov, Al.B. Zamolodchikov, Factorized S-matrices in two dimensions as the exact solutions of certain relativistic quantum field theory models, Ann. Phys. 120 (1979), 253.
11. E. Frenkel, N. Reshetikhin, Quantum affine algebras and deformations of the Virasoro and W-algebras, Commun. Math. Phys. 178 (1996), 237 and q-alg/9505025.
12. L.A. Takhtadjan, L.D. Faddeev, The quantum method of the inverse problem and the Heisenberg XYZ model, Russ. Math. Surveys 34, 5 (1979), 11.
13. 4 Zamolodchikov S-matrix, in preparation.
14. D. Fioravanti, A. Mariottini, E. Quattrini, F. Ravanini, Excited state Destri-de Vega equation for sine-Gordon and restricted sine-Gordon models, Phys. Lett. B390 (1997), 243 and hep-th/9608091;
15. Destri, H.J. de Vega, Non linear integral equation and excited-states scaling functions in the sine-Gordon model, Nucl. Phys. B504 (1997), 621 and hep-th/9701107.
16. G. Feverati, F. Ravanini, G. Takacs, Nonlinear Integral Equation and Finite Volume Spectrum of Sine-Gordon Theory, Nucl. Phys. B540 (1999), 543 and hep-th/9805117.
17. c), Phys. Lett. A235 (1997), 323 and q-alg/9705012.