On the local frame in nonlinear higher-spin equations

Abstract

Properties of the resolution operator dloc∗ 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 dloc∗ differs from the conventional De Rham resolution dZ∗ by a non-local shift.