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

In this review article we describe the localization of three dimensional= 2 N supersymmetric
theories on compact manifolds, including the squashed sphere, Sb 3, the lens space, Sb p …

A remarkable yet mysterious property of black holes is that their entropy is proportional to the
horizon area. This area law inspired the holographic principle, which was later realized …

A bstract We consider a spherical region with a heavy quark in the middle. We compute the
extra entanglement entropy due to the presence of a heavy quark both in\(\mathcal {N}\)= 4 …

A bstract We consider the capacity of entanglement as a probe of the Hawking radiation in a
two-dimensional dilaton gravity coupled with conformal matter of large degrees of freedom …

A bstract We consider supersymmetric field theories on compact manifolds\(\mathcal {M}\)
and obtain constraints on the parameter dependence of their partition functions\({Z …

A bstract We explore a C-theorem in defect conformal field theories (DCFTs) that unify all the
known conjectures and theorems until now. We examine as a candidate C-function the …

A bstract We construct a new class of entanglement measures by extending the usual
definition of Rényi entropy to include a chemical potential. These charged Rényi entropies …

A bstract We study the constraints of superconformal symmetry on codimension two defects
in four-dimensional superconformal field theories. We show that the one-point function of the …

A bstract We analyze the constraints imposed by unitarity and crossing symmetry on the four-
point function of the stress-tensor multiplet of\(\mathcal {N}= 8\) superconformal field theories …