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arXiv · 2108.05535

Unfolding Conformal Geometry

Euihun Joung·Min-gi Kim·Yujin Kim
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Abstract

Conformal geometry is studied using the unfolded formulation \`a 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 $\mathfrak{so}(2,d)$. 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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Euihun Joung, Min-gi Kim, Yujin Kim. 2021-08-12. Unfolding Conformal Geometry. https://doi.org/10.1007/jhep12(2021)092

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