五维Gauss-Bonnet纯时空下全息纠缠熵解析约束方程

Analysis constraint equations of holographic entanglemententropy in pure 5-d Gauss-Bonnet spacetime

引力/规范场论对偶作为研究黑洞以及量子引力性质的一种有力工具,其各种修正模式也得到越来越多的研究.Gauss-Bonnet修正描述了量子或者弦效应对时空本身的高阶曲率修正,对理解量子引力具有重要作用.由于其度规的复杂性,研究Gauss-Bonnet时空与规范场论对偶时,一般采用数值计算的方法得到全息纠缠熵的一些性质,利用反德西特时空/共形场论(AdS/CFT)对偶理论推导了五维Gauss-Bonnet纯时空下全息纠缠熵所对应的极值面应该满足的解析约束方程,为更进一步推导Gauss-Bonnet黑洞时空下全息纠缠熵的解析演化提供了新的基础.

As a powerful tool to study the properties of black holes and quantum gravitation,gravity/gauge duality has been studied more and more.Gauss-Bonnet correction describes the high-order curvature correction of space-time by quantum or string effect,which plays an important role in understanding quantum gravity.However,due to the complexity of its metric,when we study the duality of Gauss-Bonnet space time and gauge field theory,we usually use numerical calculation to obtain some properties of holographic entanglement entropy.In this paper,by using Anti-de Sitter/conformal field theory(AdS/CFT)dual theory,we derive the analytic constraint equation of the extremum surface corresponding to the holographic entanglement entropy in five dimensional Gauss-Bonnet space-time,which provides a new basis for further derivation of the analytic evolution of the holographic entanglement entropy in Gauss-Bonnet black hole space-time.