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Perturbative analysis in higher-spin theories

  • V.E. Didenko
  • N.G. Misuna
  • M.A. Vasiliev
Open Access
Regular Article - Theoretical Physics

Abstract

A new scheme of the perturbative analysis of the nonlinear HS equations is developed giving directly the final result for the successive application of the homotopy integrations which appear in the standard approach. It drastically simplifies the analysis and results from the application of the standard spectral sequence approach to the higherspin covariant derivatives, allowing us in particular to reduce multiple homotopy integrals resulting from the successive application of the homotopy trick to a single integral. Efficiency of the proposed method is illustrated by various examples. In particular, it is shown how the Central on-shell theorem of the free theory immediately results from the nonlinear HS field equations with no intermediate computations.

Keywords

Differential and Algebraic Geometry Higher Spin Gravity Higher Spin Symmetry 

Notes

Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

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Copyright information

© The Author(s) 2016

Authors and Affiliations

  1. 1.I.E. Tamm Department of Theoretical Physics, Lebedev Physical InstituteMoscowRussia
  2. 2.Moscow Institute of Physics and TechnologyDolgoprudnyRussia

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