Functional identities for the Rogers dilogarithm associated to cluster Y-systems

Bulletin of the London Mathematical Society

Volumn 37, Issue 5, 2005, Pages 755-760

  Chapoton, Frédéric ^a  

^a UNIVERSITÉ LYON 1   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 26444436921     PISSN: 00246093     EISSN: None     Source Type: Journal    
DOI: 10.1112/S0024609305004510     Document Type: Article

References (11)

1. R. CARACCIOLO, F. GLIOZZI and R. TATEO, 'A topological invariant of RG flows in 2D integrable quantum field theories', Presented at the Euroconference on New Symmetries in Statistical Mechanics and Condensed Matter Physics (Torino, 1998), Int. J. Mod. Phys. 13 (1999) 2927-2932.
2. S. FOMIN and A. ZELEVINSKY, 'Cluster algebras. I. Foundations', J. Amer. Math. Soc. 15 (2002) 497-529 (electronic).
3. S. FOMIN and A. ZELEVINSKY, 'Cluster algebras. II. Finite type classification', Invent. Math. 154 (2003) 63-121.
4. S. FOMIN and A. ZELEVINSKY, 'Y-systems and generalized associahedra', Ann. of Math. 158 (2003).
5. E. FRENKEL and A. SZENES, 'Thermodynamic Bethe ansatz and dilogarithm identities. I', Math. Res. Lett. 2 (1995) 677-693.
6. F. GLIOZZI and R. TATEO, 'ADE functional dilogarithm identities and integrable models', Phys. Lett. B 348 (1995) 84-88.
7. F. GLIOZZI and R. TATEO, 'Thermodynamic Bethe ansatz and three-fold triangulations', Internat. J. Modern Phys. A, 11 (1996) 4051-4064.
8. A. N. KIRILLOV, 'Dilogarithm identities, partitions, and spectra in conformal field theory', Algebra i Analiz 6 (1994) 152-175.
9. L. LEWIN, Dilogarithms and associated functions (Macdonald, London, 1958).
10. D. ZAGIER, 'The remarkable dilogarithm', J. Math. Phys. Sci. 22 (1988) 131-145.
11. AL. B. ZAMOLODCHIKOV, 'On the thermodynamic Bethe ansatz equations for reflectionless ADE scattering theories', Phys. Lett. B 253 (1991) 391-394.