Holography for Confined and Deformed Theories: TsT-Generated Solutions in type IIB Supergravity

In this paper, we present a series of solutions of type IIB Supergravity, obtained through the TsT deformation of a seed background that is holographically dual to ${\cal N}=4$ Super Yang-Mills theory compactified on a circle (with a twist). We explore various holographic observables, focusing on disentangling the contributions of confinement, marginal deformations, and their interplay. Additionally, we provide a detailed analysis of how certain observables are influenced by the dynamics of the Kaluza-Klein (KK) modes arising from the circle compactification. Our results offer an improved understanding of the connections between the type IIB deformed backgrounds and the dual QFTs.