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Star-Product Functions in Higher-Spin Theory and Locality · Around

2015

Star-Product Functions in Higher-Spin Theory and Locality

Vasiliev, M. A.

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Properties of the functional classes of star-product elements associated with higher-spin gauge fields and gauge parameters are elaborated.

Cohomological interpretation of the nonlinear higher-spin equations is given.
An algebra ${\mathcal H}$, where solutions of the nonlinear higher-spin equations are valued, is found.
A conjecture on the classes of star-product functions underlying (non)local maps and gauge transformations in the nonlinear higher-spin theory is proposed.

Built on

F.A. Berezin and M.A. Shubin, “Schrödinger Equation” , Moscow University Press, Moscow, 1983
1983
Earlier work this paper cites.
M. A. Vasiliev, Fortschr. Phys
1988
Earlier work this paper cites.
M. A. Vasiliev, Phys. Lett. B 257
1991
Earlier work this paper cites.
M.A. Vasiliev, Class. Quant. Grav
1991
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M. A. Vasiliev, Phys. Lett
1992
Earlier work this paper cites.

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Then

C. Iazeolla and P. Sundell, JHEP 1112
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2011
Later among the works it cites.
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2013
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V. E. Didenko and M. A. Vasiliev, Phys. Lett. B 682
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M. A. Soloviev, J. Math. Phys. 54
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2013
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