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Paper   IPM / P / 16268
School of Physics
  Title:   Symmetries at Null Boundaries: Two and Three Dimensional Gravity Cases
1.  H. Adami
2.  M.M. Sheikh-Jabbari
3.  V. Taghiloo
4.  H. Yavartanoo
5.  C. Zwikel
  Status:   Published
  Journal: JHEP
  Vol.:  10
  Year:  2020
  Pages:   107
  Supported by:  IPM
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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