ICTS

In QFT, algebra of operators often plays an important role to study different mathematical and structural aspects. Among its several applications, operator product expansion(OPE) and Tomita-Takesaki modular theory(TT theory) provide important tool to study some interesting and useful features in QFT. In particular, OPE is used to reduce higher point correlation functions to lower point of that and to constrain dynamical data of the theory(particularly in CFTs). On the other hand, TT theory gives a rigorous way to define quantum information quantities in QFT which can be used to study entanglement pattern in QFT subregions. In this talk, our goal is to study some simple applications in both OPE and TT theory in the context of AdS_3/CFT_2. More precisely, we will discuss  kinematical quantity `OPE block', the building block of an OPE and modular Hamiltonian, a central object of TT theory in this context. Also, another goal of the talk is to show a simple connection between them in CFT_2 and its AdS_3 interpretation.