Symmetries at null boundaries: two and three dimensional gravity cases

Symmetries at null boundaries: two and three dimensional gravity cases
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零边界处的对称性:二维和三维重力情况

DOI:
10.1007/jhep10(2020)107
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发表时间:
2020-07
期刊:
JHEP
影响因子:
--
通讯作者:
C. Zwikel
C. Zwikel
中科院分区:
其他
文献类型:
--
作者:
H. Adami;M.M. Sheikh-Jabbari;V. Taghiloo;Mohammad Hossein Yavartanoo;C. Zwikel

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我们在不固定特定边界条件的情况下,对二维和三维(2D和3D)重力理论进行了一般零表面附近的对称性和电荷分析。在2d和3d中分别存在两个和三个电荷,它们是余维为1的零面上的泛函数。电荷及其代数的可积性依赖于对称生成元的态依赖性,而态依赖性是先验的,没有具体说明。我们建立了无限多的选择,使表面电荷可积的存在。我们证明了存在一个选择,即“基本基”,其中零边界对称代数是Heisenberg Diff(d− 2)代数。我们期望这个结果对于d> 3是正确的,当零面没有Bondi news时。
We carry out in full generality and without fixing specific boundary conditions, the symmetry and charge analysis near a generic null surface for two and three dimensional (2d and 3d) gravity theories. In 2d and 3d there are respectively two and three charges which are generic functions over the codimension one null surface. The integrability of charges and their algebra depend on the state-dependence of symmetry generators which is a priori not specified. We establish the existence of infinitely many choices that render the surface charges integrable. We show that there is a choice, the “fundamental basis”, where the null boundary symmetry algebra is the Heisenberg⊕ Diff (d− 2) algebra. We expect this result to be true for d> 3 when there is no Bondi news through the null surface.
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