# Holographic excited states in AdS Black Holes

## TL;DR

This paper explores non-perturbative holographic excitations of thermal states in AdS black holes, revealing connections between Euclidean sources, thermal coherent states, and wormhole geometries in the high-temperature regime.

## Contribution

It introduces a holographic framework for non-perturbative excitations using Euclidean sources and analyzes the resulting thermal coherent states and wormhole structures.

## Key findings

- Thermal coherent states are characterized in the large-N limit.
- High-temperature regimes feature connected Lorentzian and Euclidean geometries via wormholes.
- Results extend understanding of holographic duals to thermal and excited states.

## Abstract

We have recently presented a geometry dual to a Schwinger-Keldysh closed time contour, with two equal $\beta/2$ length Euclidean sections, which can be thought of as dual to the Thermo Field Dynamics formulation of the boundary CFT. In this work we study non-perturbative holographic excitations of the thermal vacuum by turning on asymptotic Euclidean sources. In the large-$N$ approximation the states are found to be thermal coherent state and we manage to compute its eigenvalues. We pay special attention to the high temperature regime where the manifold is built from pieces of Euclidean and Lorentzian black hole geometries. In this case, the real time segments of the Schwinger-Keldysh contour get connected by an Einstein-Rosen wormhole through the bulk, which we identify as the exterior of a single maximally extended black hole. The Thermal-AdS case is also considered but, the Lorentzian regions become disconnected, its results mostly follows from the zero temperature case.