Spinning particle in six dimensions

Journal of Mathematical Physics

Volumn 38, Issue 8, 1997, Pages 4086-4103

  Lyakhovich, S L ^a   Sharapov, A A ^a   Shekhter, K M ^a  

^a TOMSK STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031529864     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.532085     Document Type: Article

References (26)

1. J. Frenkel, Z. Phys. 37, 243 (1926); I. E. Tamm and V. L. Ginzburg, JETP 17, 227 (1947); A. O. Barut, Electrodynamics and Classical Theory of Fields and Particles (MacMillan, New York, 1964); A. Frydryszak, "Lagrangian models of particles with spin: The first seventy years," hep-th/9601020.
2. J. Frenkel, Z. Phys. 37, 243 (1926); I. E. Tamm and V. L. Ginzburg, JETP 17, 227 (1947); A. O. Barut, Electrodynamics and Classical Theory of Fields and Particles (MacMillan, New York, 1964); A. Frydryszak, "Lagrangian models of particles with spin: The first seventy years," hep-th/9601020.
3. J. Frenkel, Z. Phys. 37, 243 (1926); I. E. Tamm and V. L. Ginzburg, JETP 17, 227 (1947); A. O. Barut, Electrodynamics and Classical Theory of Fields and Particles (MacMillan, New York, 1964); A. Frydryszak, "Lagrangian models of particles with spin: The first seventy years," hep-th/9601020.
4. J. Frenkel, Z. Phys. 37, 243 (1926); I. E. Tamm and V. L. Ginzburg, JETP 17, 227 (1947); A. O. Barut, Electrodynamics and Classical Theory of Fields and Particles (MacMillan, New York, 1964); A. Frydryszak, "Lagrangian models of particles with spin: The first seventy years," hep-th/9601020.
5. F. A. Berezin and M. S. Marinov, Ann. Phys. 104, 336 (1977); A. Barducci, R. Casalbuoni, and L. Lusanna, Nuovo Cimentol A 35, 377 (1976); L. Brink, S. Deser, B. Zumino, P. Di Veccia, and P. Howe, Phys. Lett. B 64, 435 (1976); V. D. Gershun and V. I. Tkach, JETP Lett. 29, 288 (1979); P. Howe, S. Penati, M. Pernicci, and P. Townsend, Phys. Lett. 215, 555 (1988); Class. Quantum Grav. 6, 1125 (1988).
6. F. A. Berezin and M. S. Marinov, Ann. Phys. 104, 336 (1977); A. Barducci, R. Casalbuoni, and L. Lusanna, Nuovo Cimentol A 35, 377 (1976); L. Brink, S. Deser, B. Zumino, P. Di Veccia, and P. Howe, Phys. Lett. B 64, 435 (1976); V. D. Gershun and V. I. Tkach, JETP Lett. 29, 288 (1979); P. Howe, S. Penati, M. Pernicci, and P. Townsend, Phys. Lett. 215, 555 (1988); Class. Quantum Grav. 6, 1125 (1988).
7. F. A. Berezin and M. S. Marinov, Ann. Phys. 104, 336 (1977); A. Barducci, R. Casalbuoni, and L. Lusanna, Nuovo Cimentol A 35, 377 (1976); L. Brink, S. Deser, B. Zumino, P. Di Veccia, and P. Howe, Phys. Lett. B 64, 435 (1976); V. D. Gershun and V. I. Tkach, JETP Lett. 29, 288 (1979); P. Howe, S. Penati, M. Pernicci, and P. Townsend, Phys. Lett. 215, 555 (1988); Class. Quantum Grav. 6, 1125 (1988).
8. F. A. Berezin and M. S. Marinov, Ann. Phys. 104, 336 (1977); A. Barducci, R. Casalbuoni, and L. Lusanna, Nuovo Cimentol A 35, 377 (1976); L. Brink, S. Deser, B. Zumino, P. Di Veccia, and P. Howe, Phys. Lett. B 64, 435 (1976); V. D. Gershun and V. I. Tkach, JETP Lett. 29, 288 (1979); P. Howe, S. Penati, M. Pernicci, and P. Townsend, Phys. Lett. 215, 555 (1988); Class. Quantum Grav. 6, 1125 (1988).
9. F. A. Berezin and M. S. Marinov, Ann. Phys. 104, 336 (1977); A. Barducci, R. Casalbuoni, and L. Lusanna, Nuovo Cimentol A 35, 377 (1976); L. Brink, S. Deser, B. Zumino, P. Di Veccia, and P. Howe, Phys. Lett. B 64, 435 (1976); V. D. Gershun and V. I. Tkach, JETP Lett. 29, 288 (1979); P. Howe, S. Penati, M. Pernicci, and P. Townsend, Phys. Lett. 215, 555 (1988); Class. Quantum Grav. 6, 1125 (1988).
10. F. A. Berezin and M. S. Marinov, Ann. Phys. 104, 336 (1977); A. Barducci, R. Casalbuoni, and L. Lusanna, Nuovo Cimentol A 35, 377 (1976); L. Brink, S. Deser, B. Zumino, P. Di Veccia, and P. Howe, Phys. Lett. B 64, 435 (1976); V. D. Gershun and V. I. Tkach, JETP Lett. 29, 288 (1979); P. Howe, S. Penati, M. Pernicci, and P. Townsend, Phys. Lett. 215, 555 (1988); Class. Quantum Grav. 6, 1125 (1988).
11. A. O. Barut and N. Zanghi, Phys. Rev. Lett. 52, 2009 (1984); A. P. Balachandran, G. Marmo, A. Stern, and B.-S. Skagerstam, "Gauge symmetries and fibre bundles: Application to particle dynamics," Lecture Notes in Physics (Springer, Berlin, 1983), Vol. 188; R. Marnellius and U. Mårtensson, Nucl. Phys. B 335, 395 (1991); Int. J. Mod. Phys. A 6, 807 (1991).
12. A. O. Barut and N. Zanghi, Phys. Rev. Lett. 52, 2009 (1984); A. P. Balachandran, G. Marmo, A. Stern, and B.-S. Skagerstam, "Gauge symmetries and fibre bundles: Application to particle dynamics," Lecture Notes in Physics (Springer, Berlin, 1983), Vol. 188; R. Marnellius and U. Mårtensson, Nucl. Phys. B 335, 395 (1991); Int. J. Mod. Phys. A 6, 807 (1991).
13. A. O. Barut and N. Zanghi, Phys. Rev. Lett. 52, 2009 (1984); A. P. Balachandran, G. Marmo, A. Stern, and B.-S. Skagerstam, "Gauge symmetries and fibre bundles: Application to particle dynamics," Lecture Notes in Physics (Springer, Berlin, 1983), Vol. 188; R. Marnellius and U. Mårtensson, Nucl. Phys. B 335, 395 (1991); Int. J. Mod. Phys. A 6, 807 (1991).
14. A. O. Barut and N. Zanghi, Phys. Rev. Lett. 52, 2009 (1984); A. P. Balachandran, G. Marmo, A. Stern, and B.-S. Skagerstam, "Gauge symmetries and fibre bundles: Application to particle dynamics," Lecture Notes in Physics (Springer, Berlin, 1983), Vol. 188; R. Marnellius and U. Mårtensson, Nucl. Phys. B 335, 395 (1991); Int. J. Mod. Phys. A 6, 807 (1991).
15. S. M. Kuzenko, S. L. Lyakhovich, and A. Yu. Segal, Int. J. Mod. Phys. A 10, 1529 (1995); Phys. Lett. B 348, 421 (1995); S. M. Kuzenko, S. L. Lyakhovich, A. Yu. Segal, and A. A. Sharapov, "Massive spinning particle on anti-de Sitter space," hep-th/9509062, to appear in Int. J. Mod. Phys. A.
16. S. M. Kuzenko, S. L. Lyakhovich, and A. Yu. Segal, Int. J. Mod. Phys. A 10, 1529 (1995); Phys. Lett. B 348, 421 (1995); S. M. Kuzenko, S. L. Lyakhovich, A. Yu. Segal, and A. A. Sharapov, "Massive spinning particle on anti-de Sitter space," hep-th/9509062, to appear in Int. J. Mod. Phys. A.
17. S. M. Kuzenko, S. L. Lyakhovich, and A. Yu. Segal, Int. J. Mod. Phys. A 10, 1529 (1995); Phys. Lett. B 348, 421 (1995); S. M. Kuzenko, S. L. Lyakhovich, A. Yu. Segal, and A. A. Sharapov, "Massive spinning particle on anti-de Sitter space," hep-th/9509062, to appear in Int. J. Mod. Phys. A.
18. S. L. Lyakhovich, A. Yu. Segal, and A. A. Sharapov, Phys. Rev. D. 54, 5223 (1996).
19. A. A. Kirillov, Elements of the Theory of Group Representations (Springer-Verlag, Berlin, 1976); B. Kostant, Lect. Notes Math. 170, 87 (1970); J. M. Souriau, Structure des Systemes Dynamiques (Dunod, Paris, 1970).
20. A. A. Kirillov, Elements of the Theory of Group Representations (Springer-Verlag, Berlin, 1976); B. Kostant, Lect. Notes Math. 170, 87 (1970); J. M. Souriau, Structure des Systemes Dynamiques (Dunod, Paris, 1970).
21. A. A. Kirillov, Elements of the Theory of Group Representations (Springer-Verlag, Berlin, 1976); B. Kostant, Lect. Notes Math. 170, 87 (1970); J. M. Souriau, Structure des Systemes Dynamiques (Dunod, Paris, 1970).
22. M. Cederwall, "Introduction to the division algebras, sphere algebras and twistors," Goeteborg preprint, hep-th/ 9310115.
23. T. Kugo and P. Townsend, Nucl. Phys. B 221, 357 (1983); A. Sudberry, J. Phys. A 17, 939 (1984).
24. T. Kugo and P. Townsend, Nucl. Phys. B 221, 357 (1983); A. Sudberry, J. Phys. A 17, 939 (1984).
25. M. B. Green and J. H. Schwarz, Phys. Lett. 136B, 367 (1984); M. B. Green, J. H. Schwarz, and E. Witten, Superstring Theory (Cambridge University Press, Cambridge, 1987).
26. M. B. Green and J. H. Schwarz, Phys. Lett. 136B, 367 (1984); M. B. Green, J. H. Schwarz, and E. Witten, Superstring Theory (Cambridge University Press, Cambridge, 1987).