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Higher-rank fields and currents
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DOI：10.1007/JHEP10(2016)067.png)
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摘要
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Sp(2M) invariant field equations in the space M-M with symmetric matrix coordinates are classified. Analogous results are obtained for Minkowski-like subspaces of M-M which include usual 4d Minkowski space as a particular case. The constructed equations are associated with the tensor products of the Fock (singleton) representation of Sp(2M) of any rank r. The infinite set of higher-spin conserved currents multilinear in rank-one fields in M-M is found. The associated conserved charges are supported by (rM - r(r-1)/2)-dimensional differential forms in M-M. that are closed by virtue of the rank-2r field equations. The cohomology groups H-P(sigma(r)(-)) with all p and r, which determine the form of appropriate gauge fields and their field equations, are found both for MM and for its Minkowski-like subspace.
Keyword:
Higher Spin Symmetry
Higher Spin Gravity
Scattering Amplitudes
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期刊
IF:
5.5
论文数:
3.9W
被引数:
13.7W
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