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- W2594187738 abstract "The formal algebraic structures that govern higher-spin theories within the unfolded approach turn out to be related to an extension of the Kontsevich formality, namely, the Shoikhet–Tsygan formality. Effectively, this allows one to construct the Hochschild cocycles of higher-spin algebras that make the interaction vertices. As an application of these results we construct a family of Vasiliev-like equations that generate the Hochschild cocycles with sp(2n) symmetry from the corresponding cycles. A particular case of sp(4) may be relevant for the on-shell action of the 4d theory. We also give the exact equations that describe propagation of higher-spin fields on a higher-spin flat background. The consistency of formal higher-spin theories turns out to have a purely geometric interpretation: there exists a certain symplectic invariant associated to cutting a polytope into simplices, namely, the Alexander–Spanier cocycle." @default.
- W2594187738 created "2017-03-16" @default.
- W2594187738 creator A5012434393 @default.
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- W2594187738 date "2017-08-01" @default.
- W2594187738 modified "2023-09-29" @default.
- W2594187738 title "Formal higher-spin theories and Kontsevich–Shoikhet–Tsygan formality" @default.
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- W2594187738 doi "https://doi.org/10.1016/j.nuclphysb.2017.06.005" @default.
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