Homotopy Properties and Lower-Order Vertices in Higher-Spin Equations

Understand

New homotopy approach to the analysis of nonlinear higher-spin equations is developed.

• It is shown to directly reproduce the previously obtained local vertices.
• Simplest cubic (quartic in Lagrangian nomenclature) higher-spin interaction vertices in four dimensional theory are examined from locality perspective by the new approach and shown to be local.
• The results are obtained in a background independent fashion.