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Three-dimensional conformal geometry and prepotentials for four-dimensional fermionic higher-spin fields
DOI:10.1007/JHEP11(2018)156.png)
Abstract
En 中文
We introduce prepotentials for fermionic higher-spin gauge fields in four space-time dimensions, generalizing earlier work on bosonic fields. To that end, we first develop tools for handling conformal fermionic higher-spin gauge fields in three dimensions. This is necessary because the prepotentials turn out to be three-dimensional fields that enjoy both higher-spin diffeomorphism and higher-spin Weyl gauge symmetries. We discuss a number of the key properties of the relevant Cotton tensors. The reformulation of the equations of motion as twisted self-duality conditions is then exhibited. We show next how the Hamiltonian constraints can be explicitly solved in terms of appropriate prepotentials and show that the action takes then the same remarkable form for all spins.
Keywords:
Higher Spin Symmetry
Gauge Symmetry
Supersymmetry and Duality
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