Schwinger-fronsdal theory of Abelian tensor gauge fields

Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

Volumn 4, Issue , 2008, Pages

  Guttenberg, Sebastian ^a   Savvidy, George ^a  

^a INSTITUTE OF NUCLEAR PHYSICS   (Greece)

Author keywords

Abelian gauge fields; Abelian tensor gauge fields; Conserved currents; High spin fields; Weakly conserved currents

Indexed keywords

EID: 84889234879     PISSN: None     EISSN: 18150659     Source Type: Journal    
DOI: 10.3842/SIGMA.2008.061     Document Type: Review

References (33)

1. Schwinger J., Particles, sources, and fields, Addison-Wesley, Reading, MA, 1970.
2. Fronsdal C., Massless fields with integer spin, Phys. Rev. D 18 (1978), 3624-3629.
3. Singh L.P.S., Hagen C.R., Lagrangian formulation for arbitrary spin. I. The boson case, Phys. Rev. D 9 (1974),898-909.
4. Feynman R.P., Feynman lecture on gravitation, Westview Press, 2002.
5. Fierz M., Über die relativistische Theorie kräftefreier Teilchen mit beliebigem Spin, Helv. Phys. Acta. 12 (1939),3-27.
6. Chang S.J., Lagrange formulation for systems with higher spin, Phys. Rev. 161 (1967), 1308-1315.
7. van Dam H., Veltman M.J.G., Massive and massless Yang-Mills and gravitational fields, Nuclear Phys. B 22 (1970),397-411.
8. Curtright T., Massless field supermultiplets with arbitrary spin, Phys. Lett. B 85 (1979), 219-224.
9. Bengtsson A.K., Bengtsson I., Brink L., Cubic interaction terms for arbitrary spin, Nuclear Phys. B 227 (1983),31-40.
10. Bengtsson A.K., Bengtsson I., Brink L., Cubic interaction terms for arbitrarily extended supermultiplets, Nuclear Phys. B 227 (1983), 41-49.
11. Bengtsson A.K.H., Bengtsson I., Linden N., Interacting higher spin gauge fields on the light front, Classical Quantum Gravity 4 (1987), 1333-1345.
12. Berends F.A., Burgers G.J.H., van Dam H., On the theoretical problems in constructing interactions invol-ving higher-spin massless particles, Nuclear Phys. B 260 (1985), 295-322.
13. Berends F.A., Burgers G.J.H., van Dam H., On spin three selfinteractions, Z. Phys. C 24 (1984), 247-254.
14. de Wit B., Freedman D.Z., Systematics of higher spin gauge fields, Phys. Rev. D (3) 21 (1980), 358-367.
15. Bengtsson A.K.H., Structure of higher spin gauge interactions, J. Math. Phys. 48 (2007) 072302, 35 pages, hep-th/0611067.
16. Savvidy G., Non-Abelian tensor gauge fields: enhanced symmetries, hep-th/0604118 (see Section 6).
17. Bengtsson A.K.H., Towards unifying structures in higher spin gauge symmetry, SIGMA 4 (2008), 013, 23 pages, arXiv:0802.0479.
18. Bekaert X., Cnockaert S., Iazeolla C., Vasiliev M.A., Nonlinear higher spin theories in various dimensions, hep-th/0503128.
19. Vasiliev M.A., Higher-spin gauge theories in four, three and two dimensions, Internat. J. Modern Phys. D 5 (1996),763-797, hep-th/9611024.
20. Vasiliev M.A., Higher spin gauge theories: star-product and AdS space, hep-th/9910096.
21. Engquist J., Sezgin E., Sundell P., On N = 1, 2, 4 higher spin gauge theories in four dimensions, Classical Quantum Gravity 19 (2002), 6175-6196, hep-th/0207101.
22. Sezgin E., Sundell P., Holography in 4D (super) higher spin theories and a test via cubic scalar couplings, J. High Energy Phys. 2005 (2005), no. 7, 044, 26 pages, hep-th/0305040.
23. Francia D., Sagnotti A., On the geometry of higher-spin gauge fields, Classical Quantum Gravity 20 (2003), S473-S486, hep-th/0212185.
24. Francia D., Mourad J., Sagnotti A., Current exchanges and unconstrained higher spins, Nuclear Phys. B 773 (2007),203-237, hep-th/0701163.
25. Sorokin D., Introduction to the classical theory of higher spins, AIP Conf. Proc. 767 (2005), 172-202, hep-th/0405069.
26. Francia D., Sagnotti A., Free geometric equations for higher spins, Phys. Lett. B 543 (2002), 303-310, hep-th/0207002.
27. Savvidy G., Non-Abelian tensor gauge fields: generalization of Yang-Mills theory, Phys. Lett. B 625 (2005), 341-350, hep-th/0509049.
28. Savvidy G., Non-Abelian tensor gauge fields. I, Internat. J. Modern Phys. A 21 (2006), 4931-4957.
29. Savvidy G., Non-Abelian tensor gauge fields. II, Internat. J. Modern Phys. A 21 (2006), 4959-4977.
30. Barrett J. K., Savvidy G., A dual Lagrangian for non-Abelian tensor gauge fields, Phys. Lett. B 652 (2007), 141-145, arXiv:0704.3164
31. Weinberg S., Feynman rules for any spin, Phys. Rev. (2) 133 (1964), B1318-B1332.
32. Weinberg S., The quantum theory of fields, Vol. 1, Foundations, Cambridge University Press, Cambridge, 1995.
33. Konitopoulos S., Savvidy G., Production of spin-two gauge bosons, arXiv:0804.0847.