Abstract
Properties of the resolution operator d ∗loc in higher-spin equations, that leads to local current interactions at the cubic order and minimally nonlocal higher-order corrections, are formulated in terms of the condition on the class of master fields of higher-spin theory that restricts both the dependence on the spinor Y , Z variables and on the contractions of indices between the constituent fields in bilinear terms. The Green function in the sector of zero-forms is found for the case of constituent fields carrying helicities of opposite signs. It is shown that the local resolution d ∗loc differs from the conventional De Rham resolution d ∗ Z by a non-local shift.
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Vasiliev, M.A. On the local frame in nonlinear higher-spin equations. J. High Energ. Phys. 2018, 62 (2018). https://doi.org/10.1007/JHEP01(2018)062
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DOI: https://doi.org/10.1007/JHEP01(2018)062