Higher-spin algebras and cubic interactions for simple mixed-symmetry fields in AdS spacetime

Details Higher-spin algebras and cubic interactions for simple mixed-symmetry fields in AdS spacetime Higher-spin algebras and cubic interactions for simple mixed-symmetry fields in AdS spacetime

2011-07-25

arxiv.org/abs/1107.5028v3

JHEP 1109:063,2011

Physics

High Energy Physics

High Energy Physics - Theory

36 pages; refs added; typos corrected

Scientific paper

10.1007/JHEP09(2011)063

Nonabelian Fradkin-Vasiliev cubic interactions for dual-graviton-like gauge fields with gravity and themselves are constructed in anti-de Sitter spacetime. The Young diagrams of gauge potentials have shapes of 'tall-hooks', i.e. two columns the second of height one. The underlying nonabelian algebra is a Clifford algebra with the anti-de Sitter signature. We also discuss the universal enveloping realization of higher-spin algebras, showing that there is a one-parameter family of algebras compatible with unitarity, which is reminiscent of 3d deformed oscillators.

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