Abstract
Using the unfolded formulation of equations for massless free fields of all spins, we obtain an explicit form of the gauge-invariant higher-spin conformal conserved charges bilinear in four-dimensional massless fields of arbitrary spins.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
D. Anselmi, Class. Q. Grav., 17, 1383 (2000); arXiv:hep-th/9906167v2 (1999).
S. E. Konstein, M. A. Vasiliev, and V. N. Zaikin, JHEP, 0012, 018 (2000); arXiv: hep-th/0010239v1 (2000).
M. A. Vasiliev, Phys. Lett. B, 209, 491 (1988); Ann. Phys., 190, 59 (1989).
M. A. Vasiliev, Russ. Phys. J., 45, 670 (2002); arXiv:hep-th/0204167v1 (2002).
C. Fronsdal, “Massless particles, ortosymplectic symmetry, and another type of Kaluza-Klein theory,” in: Essays on Supersymmetry (Math. Phys. Stud., Vol. 8), Reidel, Dordrecht (1986), p. 163.
I. Bandos, J. Lukierski, and D. Sorokin, Phys. Rev. D, 61, 045002 (2000); arXiv:hep-th/9904109v1 (1999).
M. A. Vasiliev, Phys. Rev. D, 66, 066006 (2002); arXiv:hep-th/0106149v3 (2001).
M. A. Vasiliev, “Relativity, causality, locality, quantization, and duality in the Sp(2M) invariant generalized space-time,” in: Multiple Facets of Quantization and Supersymmetry (M. Olshanetsky and A. Vainshtein, eds.), Vol. 2, World Scientific, Singapore (2002), p. 826; arXiv:hep-th/0111119v2 (2001).
S. Weinberg, Phys. Rev., 133, B1318 (1964).
A. Erdélyi, W. Magnus, F. Oberhettinger and G. F. Tricomi, Higher Transcendental Functions, Vol. 2, McGraw-Hill, New York (1953).
S. Deser and A. Waldron, “Stress and strain: T μv of higher spin gauge fields,” arXiv: hep-th/0403059v1 (2004).
A. K. H. Bengtsson, I. Bengtsson, and L. Brink, Nucl. Phys. B, 227, 31, 41 (1983); F. A. Berends, G. J. Burgers, and H. van Dam, Z. Phys. C, 24, 247 (1984); Nucl. Phys. B, 260, 295 (1985); A. K. H. Bengtsson and I. Bengtsson, Class. Q. Grav., 3, 927 (1986).
E. S. Fradkin and M. A. Vasiliev, Phys. Lett. B, 189, 89 (1987); Nucl. Phys. B, 291, 141 (1987).
L. Bel, C. R. Acad. Sci. Paris, 247, 1094 (1958); 248, 1297 (1959); I. Robinson, Class. Quant. Grav., 14, A331 (1997).
S. Deser, Gen. Rel. Grav., 8, 573 (1977); W. Rindler and A. Trautman, eds., Gravitation and Geometry: A Volume in Honour of Ivor Robinson (Monogr. Textbooks Phys. Sci., Vol. 4), Bibliopolis, Napoli (1987); S. Deser and Z. Yang, Class. Q. Grav., 7, 1491 (1990).
L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics [in Russian] (2nd ed.), Vol. 2, The Classical Theory of Fields, Nauka, Moscow (1973); English transl. prev. ed., Addison-Wesley, Reading, Mass. (1962).
S. Deser and J. M. McCarthy, Class. Q. Grav., 7, L119 (1990).
R. A. Arnowitt and S. Deser, Nucl. Phys., 49, 133 (1963).
M. A. Vasiliev and O. A. Gelfond, Theor. Math. Phys., 145, 1400 (2005).
Author information
Authors and Affiliations
Corresponding author
Additional information
__________
Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 154, No. 2, pp. 344–353, February, 2008.
Rights and permissions
About this article
Cite this article
Vasiliev, M.A., Gelfond, O.A. & Skvortsov, E.D. Higher-spin conformal currents in Minkowski space. Theor Math Phys 154, 294–302 (2008). https://doi.org/10.1007/s11232-008-0027-6
Received:
Issue Date:
DOI: https://doi.org/10.1007/s11232-008-0027-6