Conformal field theories have been long known to describe the fascinating universal physics
of scale invariant critical points. They describe continuous phase transitions in fluids …

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

We provide a derivation of holographic entanglement entropy for spherical entangling
surfaces. Our construction relies on conformally map** the boundary CFT to a hyperbolic …

A bstract We discuss some general aspects of renormalization group flows in four
dimensions. Every such flow can be reinterpreted in terms of a spontaneously broken …

The 3D Ising transition, the most celebrated and unsolved critical phenomenon in nature,
has long been conjectured to have emergent conformal symmetry, similar to the case of the …

We consider line defects in d-dimensional conformal field theories (CFTs). The ambient CFT
places nontrivial constraints on renormalization group (RG) flows on such line defects. We …

We present a uniform treatment of rigid supersymmetric field theories in a curved
spacetime\(\mathcal {M}\), focusing on four-dimensional theories with four supercharges …

A bstract This paper addresses a long standing problem, the counting of the microstates of
supersymmetric asymptotically AdS black holes in terms of a holographically dual field …

The discussions in § 2 and § 3 make it rather clear that while we have to evaluate a
sequence of functional integrals to compute the Rényi entropies, these are rather complex …

We show, using strong subadditivity and Lorentz covariance, that in three-dimensional
space-time the entanglement entropy of a circle is a concave function. This implies the …