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Does gravity hide a broken gauge symmetry inside spacetime?

Takeshi Fukuyama

May 30, 2026

Gravity emerges from broken conformal gauge symmetry in this framework. The authors trace how bulk spacetime geometry translates into boundary structures—Schwarzian derivatives in AdS₂, Cotton tensors in AdS₄—showing these invariants are geometric leftovers of symmetry breaking. The correspondence works differently in lower versus higher dimensions, suggesting a unified picture of holography as boundary remnants of broken symmetry.
Published as Gauge Theory of Gravity and the AdS/CFT Correspondence arXiv:2606.00929
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