正能定理与精确可解量子修正二维伸缩引力中的超对称性
高能物理 - 理论
2009-10-22 v2 广义相对论与量子宇宙学
摘要
扩展Park和Strominger的工作，我们证明了精确可解量子修正二维伸缩引力理论的正能定理。我们构造的正能泛函被证明是唯一的（在此类泛函的合理广泛类别内）。对于渐近于LDV的场构型，我们证明该能量泛函（若定义在类空曲面上）给出通常（经典）的ADM质量定义加上特定的“量子”修正。若定义在类光曲面上，该能量泛函给出Bondi质量。后者被仔细评估并应用于RST激波场景，其行为符合物理预期。受正能定理存在的启发，我们构造了这些量子修正伸缩引力理论的显式超对称（半经典）扩展。
引用
@article{arxiv.hep-th/9301021,
title = {Positive Energy Theorem and Supersymmetry in Exactly Solvable Quantum-Corrected 2D Dilaton-Gravity},
author = {Adel Bilal},
journal= {arXiv preprint arXiv:hep-th/9301021},
year = {2009}
}
备注
30 pages, significantly revised and extended: in particular, the uniqueness of the positive energy functional is proven and the conditions are made more precise. The functional is shown to lead to satisfactory ADM and Bondi masses whose properties are studied in detail. The Bondi mass is evaluated explicitly for the RST shockwave scenario