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Homotopy properties and lower-order vertices in higher-spin equations

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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… Click to show full abstract

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.

Keywords: homotopy properties; properties lower; spin equations; higher spin; lower order

Journal Title: Journal of Physics A: Mathematical and Theoretical
Year Published: 2018

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