Abstract
Conformal geometry is studied using the unfolded formulation à la Vasiliev. Analyzing the first-order consistency of the unfolded equations, we identify the content of zero-forms as the spin-two off-shell Fradkin-Tseytlin module of \( \mathfrak{so}\left(2,d\right) \). We sketch the nonlinear structure of the equations and explain how Weyl invariant densities, which Type-B Weyl anomaly consist of, could be systematically computed within the unfolded formulation. The unfolded equation for conformal geometry is also shown to be reduced to various on-shell gravitational systems by requiring additional algebraic constraints.
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Joung, E., Kim, Mg. & Kim, Y. Unfolding conformal geometry. J. High Energ. Phys. 2021, 92 (2021). https://doi.org/10.1007/JHEP12(2021)092
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DOI: https://doi.org/10.1007/JHEP12(2021)092