Unfolding Conformal Geometry

Euihun Joung (Kyung Hee U, Seoul)

Sep 14. 2021, 14:00 — 15:00

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 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.

Further Information
ESI Boltzmann Lecture Hall
Associated Event:
Geometry for Higher Spin Gravity: Conformal Structures, PDEs, and Q-manifolds (Thematic Programme)
Xavier Bekaert (U Tours)
Andreas Cap (U of Vienna)
Stefan Fredenhagen (U of Vienna)
Maxim Grigoriev (Lebedev Inst. & Lomonosov Moscow SU)
Alexei Kotov (U Hradec Králové)