发表机构
Universidad Adolfo Ibáñez; Pontificia Universidad Católica de Valparaíso; Universidad de Concepción（阿道夫·伊巴涅斯大学; 天主教瓦帕拉索大学; 康塞普西翁大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文利用外禀曲率边界项研究新大质量引力的重整化，提出统一的全息方案，并在退化点引入二次抵消项处理额外模式，最终通过Noether-Wald形式正确计算各类黑洞荷。
AI 中文摘要
本文研究了新大质量引力中渐近AdS时空的重整化，采用由外禀曲率构造的边界项。对于理论耦合的普遍取值，单一外禀边界项即可产生一致的全息描述，因为总作用的变分是有限的，并且可以用全息源来表达。该方案适用于常曲率几何以及满足Brown-Henneaux渐近条件的非爱因斯坦解。适当的渐近展开表明，所得全息应力张量与从辅助场表述中获得的应力张量一致。在退化点（两个极大对称真空合并处），Fefferman-Graham展开允许一个与松弛AdS边界条件相关的额外模式。二次外禀抵消项消除了新的发散，并自然导出一个具有两个独立源的全息图像。相应的响应满足修正的全息Ward恒等式，并确定有限的守恒荷。最后，正确使用Noether-Wald形式体系可重现BTZ黑洞、非爱因斯坦AdS波以及旋转带毛黑洞的正确荷。
英文摘要
The renormalization of asymptotically AdS spacetimes in New Massive Gravity is studied using boundary terms constructed with the extrinsic curvature. For generic values of the theory couplings, a single extrinsic boundary term produces a consistent holographic description, as the variation of the total action is finite and expressible in terms of the holographic source. This prescription applies to constant-curvature geometries and non-Einstein solutions with Brown-Henneaux asymptotic conditions. A suitable asymptotic expansion shows the agreement of the resulting holographic stress tensor with the one obtained from the auxiliary-field formulation. At the degenerate point, where the two maximally symmetric vacua coalesce, the Fefferman-Graham expansion admits an additional mode associated with relaxed AdS boundary conditions. A quadratic extrinsic counterterm removes the new divergences and leads naturally to a holographic picture with two independent sources. The corresponding responses obey a modified holographic Ward identity and determine finite conserved charges. Finally, the proper use of the Noether-Wald formalism reproduces the correct charges of the BTZ black hole, non-Einstein AdS waves, and the rotating hairy black hole.
Commentsv1: 28 pages
