A bstract We study CFTs at finite temperature and derive explicit sum rules for one-point
functions of operators by imposing the KMS condition and we explicitly estimate one-point …

A bstract When a (super) conformal field theory is placed on a non-trivial manifold, the
(super) conformal symmetry is broken. However, it is still possible to derive broken Ward …

A bstract In this work we address partial wave decompositions of thermal one-point functions
in conformal field theories on S 1× S d− 1. With the help of Casimir differential equations we …

We study conformal field theories at finite temperature in the presence of a temporal
conformal line defect, wrapping the thermal circle, akin to a Polyakov loop in gauge theories …

The first part of this thesis focuses on the Weyl-covariant nature of holography. We
generalize the Fefferman-Graham (FG) ambient construction for conformal geometry to a …

In the context of holographic conformal field theories (CFTs), a system of linear partial
differential equations was recently proposed to be the higher-dimensional analogs of the …

Eternal asymptotically AdS black holes are dual to thermofield double states in the boundary
CFT. It has long been known that black hole singularities have certain signatures in …

We evaluate the thermal one point function of higher spin currents in the critical model of $ U
(N) $ complex scalars interacting with a quartic potential and the $ U (N) $ Gross-Neveu …

We develop a method to evaluate the partition function and energy density of a massive
scalar on a 2-sphere of radius $ r $ and at finite temperature $\beta $ as power series in …

We use the ambient space construction, in which spacetime is mapped into a special
lightcone of a higher dimensional manifold, to derive the integrable terms of the trace …