论文标题
极端视野和（a）ds的臀部平均无效条件
Achronal averaged null energy condition for extremal horizons and (A)dS
论文作者
论文摘要
我们证明了球形极端黑洞的近范围几何形状（即$ {{\ rm ads} _2 \ times s^{d-2}} $），de sitter和anti-de sitter。派生源于相对熵的单调性，计算了无效区域的模块化哈密顿量。对于$ {\ rm ADS} _2 \ times s^{d-2} $中的不完整（但最大扩展）achronal null Geodesics，我们证明了与任意CFTS的不同光射线操作员的阳性。这与最近针对Lorentzian圆柱体得出的约束一致。
We prove the achronal averaged null energy condition for general quantum field theories in the near horizon geometry of spherical extremal black holes (i.e. ${{\rm AdS}_2\times S^{d-2}}$), de Sitter and anti-de Sitter. The derivation follows from monotonicity of relative entropy after computing the modular hamiltonian of a null deformed region. For incomplete (but maximally extended) achronal null geodesics in ${\rm AdS}_2\times S^{d-2}$, we prove the positivity of a different light-ray operator for arbitrary CFTs. This agrees with a constraint recently derived for the Lorentzian cylinder.
