IAS High Energy Theory Seminar

Abstract: Understanding holography as a quantum error-correcting code obeying the JLMS relation has been central to entanglement wedge reconstruction. Previous analyses have focused on a small code subspace of perturbative bulk states around a fixed background, but this is too restrictive for studying modular flow. Moreover, since JLMS is a statement about modular Hamiltonians, it is sensitive to small eigenvalues of the state; indeed, large violations can arise in certain toy models. In this talk I will describe recent work constructing a large holographic code with sufficient stability to ensure that JLMS holds up to small errors. This code is large enough to include superpositions of distinct semiclassical backgrounds. I will then discuss upcoming work showing how this large-code framework relates modular flow to kink transformations and clarifies the role of the area operator.