Abstract
We review a recent construction of the free field equations for totally symmetric tensors and tensor-spinors that exhibits the corresponding linearized geometry. These equations are not local for all spins > 2, involve unconstrained fields and gauge parameters, rest on the curvatures introduced long ago by de Wit and Freedman, and reduce to the local (Fang-)Fronsdal form upon partial gauge fixing. We also describe how the higher-spin geometry is realized in free String Field Theory, and how the gauge fixing to the light cone can be effected.
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References
D. Francia and A. Sagnotti, Phys. Lett. B543 (2002) 303 [arXiv:hep-th/0207002].
A. Sagnotti and A. Sevrin, arXiv:hep-ex/0209011.
C. Angelantonj and A. Sagnotti, Phys. Rept. 371 (2002) 1 [arXiv:hep-th/0204089].
C. Fronsdal, Phys. Rev. D18 (1978) 3624; T. Curtright, Phys. Lett. B85 (1979) 219; J. Fang and C. Fronsdal, Phys. Rev. D18 (1978) 3630.
L. P. Singh and C. R. Hagen, Phys. Rev. D 9 (1974) 898, Phys. Rev. D9 (1974) 910.
E.S. Fradkin and M. A. Vasiliev. Nucl. Phys. B291 (1987) 141. Annals Phys. 177 (1987) 63, Phys. Lett. B189 (1987) 89, JETP Lett. 44 (1986) 622 [Pisma Zh. Eksp. Teor. Fiz. 44 (1986) 484, Int. J. Mod. Phys. A3 (1988) 2983. Recent extensions to higher dimensions are discussed in: E. Sezgin and P. Sundell, arXiv:hep-th/0205131, arXiv:hep-th/0205132, arXiv:hep-th/0112100, super-gravity,” JHEP 0109 (2001) 025 [arXiv:hep-th/0107186].
M. A. Vasiliev, Phys. Lett. B243 (1990) 378, Class. Quant. Grav. 8 (1991) 1387, Phys. Lett. B257 (1991) 111, Phys. Lett. B285 (1992) 225. For reviews see: M. A. Vasiliev, Int. J. Mod. Phys. D5 (1996) 763 [arXiv:hep-th/9611024], arXiv:hep-th/9910096; arXiv:hep-th/0104246.
W. Siegel and B. Zwiebach, Nucl. Phys. B263 (1986) 105; T. Banks and M. E. Peskin, Nucl. Phys. B264 (1986) 513. For a review see, for instance, W. Siegel, arXiv:hep-th/0107094.
E. Witten, Nucl. Phys. B268 (1986) 253.
M. Kato and K. Ogawa, Nucl. Phys. B212 (1983) 443.
V. Bargmann and I. T. Todorov, J. Math. Phys. 18 (1977) 1141.
B. de Wit and D. Z. Freedman, Phys. Rev. D21 (1980) 358; T. Damour and S. Deser, Annales Poincare Phys. Theor. 47 (1987) 277.
M. Dubois-Violette and M. Henneaux, Lett. Math. Phys. 49 (1999) 245 [arXiv:math.qa/9907135], arXiv:math.qa/0110088.
X. Bekaert and N. Boulanger, arXiv:hep-th/0208058.
A. Y. Segal, arXiv:hep-th/0207212.
V. E. Lopatin and M. A. Vasiliev, Mod. Phys. Lett. A3 (1988) 257; M. A. Vasiliev, Nucl. Phys. B301 (1988) 26; S. Deser and A. Waldron, Nucl. Phys. B607 (2001) 577 [arXiv:hep-th/0103198]; I. L. Buchbinder, A. Pashnev and M. Tsulaia, Phys. Lett. B523 (2001) 338 [arXiv:hep-th/0109067], and references therein.
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Francia, D., Sagnotti, A. (2003). On The Geometry Of Higher-Spin Gauge Fields. In: Baulieu, L., Rabinovici, E., Harvey, J., Pioline, B., Windey, P. (eds) Progress in String, Field and Particle Theory. NATO Science Series, vol 104. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0211-0_9
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DOI: https://doi.org/10.1007/978-94-010-0211-0_9
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