Diagrammatic Derivation of Lovelock Densities

Field equations for Lovelock gravity: An alternative route

We present an alternative derivation of the gravitational field equations for Lovelock gravity starting from the Newton's law, which is closer in spirit to the thermodynamic description of gravity. As a warm up exercise, we have explicitly demonstrated that projecting the Riemann curvature tensor appropriately and taking a cue from Poisson's equation, the Einstein's equations immediately follow. The above derivation naturally generalizes to Lovelock gravity theories where an appropriate curvature tensor satisfying the symmetries as well as the Bianchi derivative properties of the Riemann tenso…

A Novel Derivation of the Boundary Term for the Action in Lanczos-Lovelock Gravity

We present a novel derivation of the boundary term for the action in Lanczos-Lovelock gravity, starting from the boundary contribution in the variation of the Lanczos-Lovelock action. The derivation presented here is straightforward, i.e., one starts from the Lanczos-Lovelock action principle and the action itself dictates the boundary structure and hence the boundary term one needs to add to the action to make it well-posed. It also gives the full structure of the contribution at the boundary of the complete action, enabling us to read off the degrees of freedom to be fixed at the boundary, t…

3d Lovelock引力中静态黑洞的微观熵

Microscopic entropy of static black holes in 3d Lovelock gravities

本文微观推导了3d Lovelock引力中静态黑洞的半经典熵，通过双重Wick旋转得到孤子基态，并利用无中心荷的Cardy公式重现熵，详细说明了孤子质量的计算方法。

五维标量-张量理论中的全 holographic 一致性异常和 a 定理

Holographic Conformal Anomaly and a-Theorem in 5D Scalar-Tensor Theories from Heterotic Strings

本文通过统一机制推导了五维标量-张量理论中的 holographic 一致性异常，并建立了 a 定理，验证了 AdS/CFT 在非最小标量耦合和高曲率项下的一致性。