Local bulk operators in AdS/CFT: A holographic description of the black hole interior
By A. Hamilton, D. Kabat, G. Lifschytz, D. Lowe. 2006
177 citations recorded by the source corpus.
To gain insight into how bulk locality emerges from the holographic conformal field theory, we reformulate the bulk to boundary map in as local a way as possible. In previous work, we carried out this program for Lorentzian AdS, and showed the support on the boundary could always be reduced to a compact region spacelike separated from the bulk point. In the present work the idea is extended to a complexified boundary, where spatial coordinates are continued to imaginary values. This continuation enables us to represent a local bulk operator as a CFT operator with support on a finite disc on the complexified boundary. We treat general AdS in Poincar´e coordinates and AdS 3 in Rindler coordinates. We represent bulk operators inside the horizon of a BTZ black hole and we verify that the correct bulk two point functions are reproduced, including the divergence when one point hits the BTZ singularity. We comment on the holographic description of black holes formed by collapse and discuss locality and holographic entropy counting at finite N . After some preliminaries we discuss AdS 3 in accelerating Rindler-like coordinates. We show that our Poincar´e results can be translated into accelerating coordinates
View Paper: https://www.semanticscholar.org/paper/162229cdbde2d84a8adf137f925857a46039fa0e
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Citations in the corpus
- The AdS/CFT correspondence (2014, background): “A separate set of ideas [95] is to express a local bulk operator (including those inside the horizon) in terms of boundary operators.”
- Constructing local bulk observables in interacting AdS/CFT (2011, methodology): “First we show that simply applying the linear smearing transformation of [5, 6, 7, 8] to a local operator in the CFT leads to correlators with unwanted singularities, beyond the expected bulk light-cone singularities.”
- Emergent spacetime and holographic CFTs (2011, background): “In this section we basically review statements made in [5], [6], [87], [8], [88], [89], [90].”
- An apologia for firewalls (2013, background): “(9)For fields localized in the angular directions, the smearing functions do not exist [48, 41, 49], but there is no problem working with partial waves.”
- An infalling observer in AdS/CFT (2012, background): “Our construction follows important work by several other authors [13, 14, 15, 16, 17, 18, 19, 20].”