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Elements of Vasiliev theory

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Skvortsov,  E. D.
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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1401.2975.pdf
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Citation

Didenko, V. E., & Skvortsov, E. D. (in preparation). Elements of Vasiliev theory.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0015-8C78-6
Abstract
We propose a self-contained description of Vasiliev higher-spin theories with the emphasis on nonlinear equations. The main sections are supplemented with some additional material, including introduction to gravity as a gauge theory; the review of the Fronsdal formulation of free higher-spin fields; Young diagrams and tensors as well as sections with advanced topics. The general discussion is dimension independent, while the essence of the Vasiliev formulation is discussed on the base of the four-dimensional higher-spin theory. Three-dimensional and $d$-dimensional higher-spin theories follow the same logic.