The Embedding Structure and the Shift Operator of the U(1) Lattice Current Algebra

Letters in Mathematical Physics

Volumn 37, Issue 1, 1996, Pages 15-27

  Alekseev, A Yu ^a   Recknagel, A ^a  

^a ETH ZURICH   (Switzerland)

Author keywords

Embeddings; Kac Moody algebra; Quantum dilogarithms; Shift operator

Indexed keywords

EID: 0002325036     PISSN: 03779017     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF00400135     Document Type: Article

References (17)

1. Faddeev, L. D. and Volkov, A. Yu., Abelian current algebra and the Virasoro algebra on the lattice, Phys. Lett. B 315, 311 (1993).
2. Faddeev, L. D., Current-like variables in massive and massless integrable models, Lectures given at Enrico Fermi School on Quantum Groups and Their Physical Applications, Varenna, Italy, 1994, hep-th/9408041.
3. Alekseev, A. Yu., Faddeev, L. D. and Semenov-Tian-Shansky, M., Hidden quantum groups inside Kac-Moody algebras, Comm. Math. Phys. 149, 335 (1992).
4. Gawedzki, K., Quantum group symmetries in conformal field theory, IHES preprint 1992, hep-th/9210100; CFT on the lattice, Talk given at the DPG-Tagung, Mainz, Germany, 1993; Falceto, F. and Gawedzki, K., Lattice Wess-Zumino-Witten model and quantum groups, J. Geom. Phys. 11, 251 (1993).
5. Gawedzki, K., Quantum group symmetries in conformal field theory, IHES preprint 1992, hep-th/9210100; CFT on the lattice, Talk given at the DPG-Tagung, Mainz, Germany, 1993; Falceto, F. and Gawedzki, K., Lattice Wess-Zumino-Witten model and quantum groups, J. Geom. Phys. 11, 251 (1993).
6. Blackadar, B., K-Theory for Operator Algebras, MSRI Publ. 5, Springer, New York, 1986; Effros, E. G., Dimensions and C*-Algebras, Reg. Conf. Ser. in Math. 46, Amer. Math. Soc. Providence, R. I., 1980.
7. Blackadar, B., K-Theory for Operator Algebras, MSRI Publ. 5, Springer, New York, 1986; Effros, E. G., Dimensions and C*-Algebras, Reg. Conf. Ser. in Math. 46, Amer. Math. Soc. Providence, R. I., 1980.
8. Goodman, F. M., de la Harpe, P. and Jones, V. F. R., Coxeter Graphs and Towers of Algebras, MSRI Publ. 14, Springer, New York, 1989.
9. Recknagel, A., AF-algebras in conformal field theory, Talk given at the Satellite Colloquium on New Problems in the General Theory of Fields and Particles, Paris, 1994.
10. Glimm, J., On a certain class of operator algebras, Trans. Amer. Math. Soc. 95, 318 (1960).
11. Faddeev, L. D. and Kashaev, R. M., Quantum dilogarithm, Modern Phys. Lett. A 9, 427 (1994).
12. Kuniba, A. and Nakanishi, T., Spectra in conformal field theories from the Rogers dilogarithm, Modern Phys. Lett. A 7, 3487 (1992); Nahm, W., Recknagel, A. and Terhoeven, M., Dilogarithm identities in conformal field theory, Modern Phys. Lett. A 8, 1835 (1993); Kedem, R., Klassen, T. R., McCoy, B. M. and Melzer, E., Fermionic sum representations for conformal field theory characters, Phys. Lett. B 307, 68 (1993).
13. Kuniba, A. and Nakanishi, T., Spectra in conformal field theories from the Rogers dilogarithm, Modern Phys. Lett. A 7, 3487 (1992); Nahm, W., Recknagel, A. and Terhoeven, M., Dilogarithm identities in conformal field theory, Modern Phys. Lett. A 8, 1835 (1993); Kedem, R., Klassen, T. R., McCoy, B. M. and Melzer, E., Fermionic sum representations for conformal field theory characters, Phys. Lett. B 307, 68 (1993).
14. Kuniba, A. and Nakanishi, T., Spectra in conformal field theories from the Rogers dilogarithm, Modern Phys. Lett. A 7, 3487 (1992); Nahm, W., Recknagel, A. and Terhoeven, M., Dilogarithm identities in conformal field theory, Modern Phys. Lett. A 8, 1835 (1993); Kedem, R., Klassen, T. R., McCoy, B. M. and Melzer, E., Fermionic sum representations for conformal field theory characters, Phys. Lett. B 307, 68 (1993).
15. Fring, A., Private communication.
16. Haag, R., Local Quantum Physics, Springer, Berlin, Heidelberg, 1992.
17. Volkov, A. Yu., Unpublished.