Nonstandard matrix formats of lie superalgebras

International Journal of Modern Physics A

Volumn 14, Issue 25, 1999, Pages 4043-4060

  Delduc, F ^a   Gieres, F ^b,c   Gourmelen, S ^c   Theisen, S ^d  

^a UNIVERSITÉ DE LYON   (France)

^b MAX PLANCK INSTITUT FÜR PHYSIK   (Germany)

^c UNIVERSITÉ LYON 1   (France)

^d UNIVERSITY OF MUNICH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000592241     PISSN: 0217751X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0217751X99001895     Document Type: Article

References (26)

1. V. G. Kac: Adv. Math. 26, 8 (1977); V. G. Kac, Commun. Math. Phys. 53, 31 (1977).
2. V. G. Kac: Adv. Math. 26, 8 (1977); V. G. Kac, Commun. Math. Phys. 53, 31 (1977).
3. L. Corwin, Y. Ne'eman and S. Sternberg, Rev. Mod. Phys. 47, 573 (1975).
4. M. Scheunert, The Theory of Lie Superalgebras, Lecture Notes in Mathematics, Vol. 716 (Springer, Berlin, 1979).
5. F. A. Berezin, Introduction to Superanalysis, Mathematical Physics and Applied Mathematics, Vol. 9 (D. Reidel, Dordrecht, 1987).
6. Yu. I. Manin, Gauge Field Theory and Complex Geometry, Grundlehren der mathematischen Wissenschaften, Vol. 289 (Springer, Berlin, 1988).
7. F. Constantinescu and H. F. De Groote, Geometrische und algebraische Methoden der Physik: Supermannigfaltigkeiten und Virasoro-Algebren (Teubner, Stuttgart, 1994).
8. B. DeWitt, Supermanifolds (Cambridge University Press, Cambridge, 1984).
9. J. F. Cornwell, Group Theory in Physics Vol. 3: Supersymmetries and Infinite-Dimensional Algebras (Academic, London, 1990).
10. L. Frappat, A. Sciarrino and P. Sorba, "Dictionary on group theory: superalgebras," ENSLAPP-AL-600/96, hep-th/9607161.
11. F. Gieres and S. Theisen, J. Math. Phys. 34, 5964 (1993); F. Gieres and S. Theisen, Int. J. Mod. Phys. A9, 393 (1994).
12. F. Gieres and S. Theisen, J. Math. Phys. 34, 5964 (1993); F. Gieres and S. Theisen, Int. J. Mod. Phys. A9, 393 (1994).
13. F. Delduc and M. Magro, J. Phys. A29, 4987 (1996).
14. F. Gieres and S. Gourmelen, J. Math. Phys. 39, 3453 (1998).
15. L. Benoit and Y. Saint-Aubin, Lett. Math. Phys. 23, 117 (1991).
16. B. Bershadsky, W. Lerche, D. Nemeschansky and N. P. Warner, Nucl. Phys. B401, 304 (1993).
17. P. P. Kulish, "Quantum superalgebra osp(2|1)," preprint RIMS-615, Kyoto 1988; P. P. Kulish and N. Yu. Reshetikhin, Lett. Math. Phys. 18, 143 (1989); H. Saleur, Nucl. Phys. B336, 363 (1990); E. Celeghini and P. P. Kulish, J. Phys. A: Math. Gen. 31, L79 (1998).
18. P. P. Kulish, "Quantum superalgebra osp(2|1)," preprint RIMS-615, Kyoto 1988; P. P. Kulish and N. Yu. Reshetikhin, Lett. Math. Phys. 18, 143 (1989); H. Saleur, Nucl. Phys. B336, 363 (1990); E. Celeghini and P. P. Kulish, J. Phys. A: Math. Gen. 31, L79 (1998).
19. P. P. Kulish, "Quantum superalgebra osp(2|1)," preprint RIMS-615, Kyoto 1988; P. P. Kulish and N. Yu. Reshetikhin, Lett. Math. Phys. 18, 143 (1989); H. Saleur, Nucl. Phys. B336, 363 (1990); E. Celeghini and P. P. Kulish, J. Phys. A: Math. Gen. 31, L79 (1998).
20. P. P. Kulish, "Quantum superalgebra osp(2|1)," preprint RIMS-615, Kyoto 1988; P. P. Kulish and N. Yu. Reshetikhin, Lett. Math. Phys. 18, 143 (1989); H. Saleur, Nucl. Phys. B336, 363 (1990); E. Celeghini and P. P. Kulish, J. Phys. A: Math. Gen. 31, L79 (1998).
21. V. G. Kac and J. W. Van de Leur, Ann. Inst. Fourier 37, 99 (1987); V. G. Kac and J. W. Van de Leur, "Super boson-fermion correspondence of tune B," in Infinite-Dimensional Lie Algebras and Groups, ed. V. G. Kac (World Scientific, Singapore, 1989), pp. 369-406.
22. V. G. Kac and J. W. Van de Leur, Ann. Inst. Fourier 37, 99 (1987); V. G. Kac and J. W. Van de Leur, "Super boson-fermion correspondence of tune B," in Infinite-Dimensional Lie Algebras and Groups, ed. V. G. Kac (World Scientific, Singapore, 1989), pp. 369-406.
23. D. A. Leites, M. V. Saveliev and V. V. Serganova, "Embeddings of osp(N|2) and the associated nonlinear supersymmetric equations," in Group Theoretical Methods in Physics, Vol. 1, eds. M. A. Markov, V. I. Manko and V. V. Dodonov (VNU Science Press, Utrecht, 1986).
24. F. Delduc, E. Ragoucy and P. Sorba, Commun. Math. Phys. 146, 403 (1992).
25. A. V. Razumov and M. V. Saveliev, Lie Algebras, Geometry and Toda-Type Systems, Cambridge Lecture Notes in Physics, Vol. 8 (Cambridge University Press, Cambridge, 1997).
26. S. Komata, K. Mohri and H. Nohara, Nucl. Phys. B359, 168 (1991).