论文标题
新的手性重力
New Chiral Gravity
论文作者
论文摘要
三维重力的相位空间具有构造式覆盖范围（CSS）边界条件，并具有渐近的对称性，由Virasoro的半主导产品和$ \ hat {u}（1）$kač-moody代数，以及Contraper Bltbz Black Holles的入口处均可用劳动的情况，均可用劳力均可使用。通过将这些边界条件嵌入拓扑上的重力中，我们观察到由ADS $ _3 $ RADIUS $ \ ELL $和CHERN-SIMONS耦合$μ$参数的耦合空间中存在两个特殊点。当$μ= \ pm {1 \ over \ ell} $时，渐近对称性将减少到手性virasoro代数或纯$ \ hat {u}（1）$kač-moody电流代数。在那些点，黑洞具有正能量，而线性激发的能量是非负能量。
The phase space of three-dimensional gravity with Compere-Song-Strominger (CSS) boundary conditions is endowed with asymptotic symmetries consisting in the semi-direct product of a Virasoro and a $\hat{u}(1)$ Kač-Moody algebra, and contains BTZ black holes whose entropy can be accounted for by the degeneracy of states of a Warped CFT. By embedding these boundary conditions in Topologically Massive Gravity, we observe the existence of two special points in the space of couplings parameterized by the AdS$_3$ radius $\ell$ and the Chern-Simons coupling $μ$. When $μ= \pm {1\over \ell}$, the asymptotic symmetries reduce to either a chiral Virasoro algebra or a pure $\hat{u}(1)$ Kač-Moody current algebra. At those points, black holes have positive energy while that of linearized excitations are non-negative.
