I will discuss how the Nambu-Goto equation emerges from pure three dimensional gravity with or without a cosmological constant. This does not generalize to co-dimension one branes in higher dimensions. In the context of AdS3/CFT2, a junction with a fundamental string is dual to an interface, and the corresponding solution of the Nambu-Goto equation can be decoded from the...
We systematically investigate the {\it spectral statistics of operators} in quantum many-body systems, focusing on their connections to quantum chaos and free probability theory. Specifically, we numerically analyze the mixed-field Ising model with disorder, the Sachdev-Ye-Kitaev (SYK) model, and a random unitary model, using direct diagonalization to study the eigenvalue density,...
In this work, we give two proposals regarding the status of connectivity of entanglement wedges and the associated saturation of mutual information. The first proposal has been given for the scenario before the Page time depicting the fact that at a particular value of the observer's time t_b=t_R (where t_R\ll\beta), the mutual information I(R_+:R_-) vanishes representing the disconnected...
The requirement of unitarity and causality in UV lead to significant constraints on low energy EFT known as positivity bounds. While positivity bounds for local QFT have been derived and used widely, we explore the possibility of a non-local UV completion to the low energy EFT. The non-local UV amplitude we propose has the exponential form. We show some of the examples explicitly that satisfy...
We will explore the dynamical property of non-equilibrium phenomena induced by two-dimensional holographic conformal field theory (2d holographic CFT) Hamiltonian on the curved spacetime by studying the time dependence of the entanglement entropy and mutual information. Here, holographic CFT is the CFT with the gravity dual. We will start from the boundary and thermofield double states, evolve...
