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IPM
30
YEARS OLD

“School of Physic”

Paper   IPM / Physic / 15807
   School of Physics
  Title: Source and Response Soft Charges for Maxwell Theory on AdS_d
  Author(s):
1 . E Esmaeili
2 . V Hosseinzadeh
3 . M.M. Sheikh-Jabbari
  Status: Preprint
  Journal:
  Year: 2019
  Supported by: IPM
  Abstract:
We study asymptotic symmetries and their associated charges for Maxwell theory on anti de Sitter (AdS) background in any dimension. This is obtained by constructing a conserved symplectic structure for the bulk and a theory on the boundary, which we specify. We show that the boundary phase space is described by two scalars and two sets of "source" and "response" boundary gauge transformations. The bulk dynamics is invariant under these two sets of boundary transformations. We study the (soft) charges associated with these two sets and show that they form an infinite dimensional Heisenberg type algebra. Studying the large AdS radius flat space limit, we show only the source soft charges survive. We also analyze algebra of charges associated with SO(d−1,2) isometries of the background AdSd space and study how they act on our source and response charges. We briefly discuss implication of our results for the AdS/CFT.

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