Mayo 9, 2018
De 11:30am hasta 1:00pm

Room 218

Specialist level
Martín Sasieta

Room 218


Entanglement wedge reconstruction

As discussed previously in the Holoclub, the papers https://arxiv.org/abs/1601.05416 by Harlow et al., together with https://arxiv.org/abs/1512.06431 by JLMS provide strong evidence that the dual to a boundary subregion is the entanglement wedge. In practice, however, there is no explicit reconstruction of the whole entanglement wedge á la HKLL. Moreover, in disconnected boundary settings, bulk and boundary locality spoil the consistency of such a reconstruction for the region behind the causal wedge.

I will review https://arxiv.org/abs/1704.05464 by Faulkner and Lewkowycz, where they expand on the original proposal by JLMS to find a complete reconstruction of the entanglement wedge in terms of modular-evolution in the boundary, and in particular, they reconstruct the bulk local field very close to the RT surface. The upshot is that only in the subregions where the CFT modular Hamiltonian is local will this work the same way as HKLL, but for the general case the reconstruction is only possible if the smearing is done for non-local (modular-evolved) CFT operators.