String Theory Journal Club

In this seminar, I will briefly review some basics about modular theory and introduce the idea of modular parallel transport. Modular parallel transport solves the transport problem for a family of modular Hamiltonians, which can be state or region deformations. Though modular parallel transport can be defined for general theories, we pay special attention to holographic theories. In holography, modular parallel transport can be understood as certain diffeomorphism in the bulk. For other diffeos, it can be understood as modular paralle transport plus some amount of modular zero modes.