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Paper   IPM / P / 16010
School of Physics
  Title:   Sliding Surface Charges on AdS3
1.  H. Adami
2.  V. Hosseinzadeh
3.  M.M. Sheikh-Jabbari
  Status:   Published
  Journal: Phys. Lett. B
  Vol.:  806
  Year:  2020
  Pages:   135503
  Supported by:  IPM
We explore the surface charges and the associated symmetries when the boundary conditions are imposed at two arbitrary boundaries in spacetime. In particular, we consider Einstein AdS3 gravity theory and impose boundary conditions at two different arbitrary constant radius surfaces. We show that (1) smooth interpolation between two boundaries is possible iff the mass and angular momentum measured at the two boundaries are equal and, (2) the other surface charges at each boundary depend only on the boundary condition imposed at that boundary and the two set of charges at the two boundaries are not correlated with each other. We explicitly construct such a family of solution geometries which smoothly interpolate between the two boundaries.

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