We review the paradigm of holographic dark energy (HDE), which arises from a theoretical
attempt of applying the holographic principle (HP) to the dark energy (DE) problem. Making …

Entanglement entropy plays a variety of roles in quantum field theory, including the
connections between quantum states and gravitation through the holographic principle. This …

A bstract Entanglement entropy obeys a 'first law', an exact quantum generalization of the
ordinary first law of thermodynamics. In any CFT with a semiclassical holographic dual, this …

A bstract Relative entropy between two states in the same Hilbert space is a fundamental
statistical measure of the distance between these states. Relative entropy is always positive …

Two-dimensional conformal field theories with a large central charge and a small number of
low-dimension operators are studied using the conformal block expansion. A universal …

A bstract We study a conjectured connection between AdS/CFT and a real-space quantum
renormalization group scheme, the multi-scale entanglement renormalization ansatz …

This is a pedagogical introduction to the AdS/CFT correspondence. Starting with the
conceptual basis of the holographic dualities, the subject is developed emphasizing some …

The entanglement" first law" in conformal field theories relates the entanglement entropy for
a ball-shaped region to an integral over the same region involving the expectation value of …

We propose a new duality relation between codimension-two space-like surfaces in
gravitational theories and quantum states in dual Hilbert spaces. This surface state …

A bstract We propose a free falling particle in an AdS space as a holographic model of local
quench. Local quenches are triggered by local excitations in a given quantum system. We …