论文标题
根据ST模块化自举的三维量子重力
Three-dimensional quantum gravity according to ST modular bootstrap
论文作者
论文摘要
We combine the large-$c$ ST modular bootstrap equations with the Cardy formula for the asymptotic growth of the density of states to prove that any $2d$ unitary, compact, conformal field theory (CFT) with no higher spin conserved currents leads to conflicting inequalities whenever the entire spectrum of non-trivial primaries lies above the BTZ threshold.结果，如果存在的（如果存在）$ 3D $ PURE重力的全息双重双重双重二$ 2D $ CFT。一致的ST Bootstrap方程解决方案需要位于BTZ阈值以下的其他初选。最低的非平凡初级必然具有奇数旋转
We combine the large-$c$ ST modular bootstrap equations with the Cardy formula for the asymptotic growth of the density of states to prove that any $2d$ unitary, compact, conformal field theory (CFT) with no higher spin conserved currents leads to conflicting inequalities whenever the entire spectrum of non-trivial primaries lies above the BTZ threshold. As a consequence, the holographic dual of $3d$ pure gravity, if it exists, cannot be a $2d$ CFT. Consistent solutions of ST bootstrap equations require additional primaries lying below the BTZ threshold. The lowest non-trivial primary necessarily has odd spin
