Robin-boundary-condition HKLL smearing functions with spacelike support are constructed in AdS causal wedges and used to map the double-trace-deformed CFT Wightman function to the bulk Robin Wightman function.
Hadamard states for a scalar field in anti-de Sitter spacetime with arbitrary boundary conditions
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
We consider a real, massive scalar field on ${\rm PAdS}_{d+1}$, the Poincar\'e domain of the $(d+1)$-dimensional anti-de Sitter (AdS) spacetime. We first determine all admissible boundary conditions that can be applied on the conformal boundary, noting that there exist instances where "bound states" solutions are present. Then, we address the problem of constructing the two-point function for the ground state satisfying those boundary conditions, finding ultimately an explicit closed form. In addition, we investigate the singularities of the resulting two-point functions, showing that they are consistent with the requirement of being of Hadamard form in every globally hyperbolic subregion of ${\rm PAdS}_{d+1}$ and proposing a new definition of Hadamard states which applies to ${\rm PAdS}_{d+1}$.
fields
hep-th 1years
2019 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Boundary-to-bulk maps for AdS causal wedges and RG flow
Robin-boundary-condition HKLL smearing functions with spacelike support are constructed in AdS causal wedges and used to map the double-trace-deformed CFT Wightman function to the bulk Robin Wightman function.