A bstract We develop an analytic approach to Boundary Conformal Field Theory (BCFT),
focussing on the two-point function of a general pair of scalar primary operators. The …

A bstract We propose a method to analytically solve the bootstrap equation for two point
functions in boundary CFT. We consider the analytic structure of the correlator in Lorentzian …

A bstract We revisit the problem of defining an invariant notion of tension in gravity. For
spacetimes whose asymptotics are those of a Defect CFT we propose two independent …

A bstract We study the operator product expansion (OPE) for scalar conformal defects of any
codimension in CFT. The OPE for defects is decomposed into “defect OPE blocks”, the …

A bstract We develop the embedding formalism for odd dimensional Dirac spinors in AdS
and apply it to the (geodesic) Witten diagrams including fermionic degrees of freedom. We …

In this paper we discuss geodesic Witten diagrams in general holographic conformal field
theories with boundary or defect. In boundary or defect conformal field theory, two-point …

This thesis is devoted to a possible generalization of the entanglement entropy and its
implication to the holography, especially AdS/CFT correspondence. The AdS/CFT …

Conformal blocks are the building blocks of correlation functions in conformal field theory.
They figure prominently in the study of quantum gravity in light of the AdS/CFT …