Speaker
Laurens Kabir
(University of Amsterdam)
Description
A puzzling aspect of the AdS/CFT correspondence is that a
single bulk operator can be mapped to multiple different
boundary operators, or precursors. By improving upon a
recent model of Mintun, Polchinski, and Rosenhaus, I
demonstrate explicitly how this ambiguity arises in a simple
model of the field theory. In particular, I show how gauge
invariance in the boundary theory manifests as a freedom in
the smearing function used in the bulk-boundary mapping, and
explicitly show how this freedom can be used to localize the
precursor in different spatial regions. I also show how the
ambiguity can be understood in terms of quantum error
correction, by appealing to the entanglement present in the
CFT. The concordance of these two approaches suggests that
gauge invariance and entanglement in the boundary field
theory are intimately connected to the reconstruction of
local operators in the dual spacetime.
