# A simple holographic scenario for gapped quenches

## TL;DR

This paper develops a holographic model for gapped quenches in field theories, involving gravitational backgrounds with scalar fields and singularities, and explores time-dependent boundary conditions to simulate quenches.

## Contribution

It introduces a new holographic setup with an infrared cutoff and time-dependent boundary conditions to study quenches in gapped systems.

## Key findings

- Constructed gravitational backgrounds with scalar fields and naked singularities.
- Developed a holographic dictionary for the infrared boundary.
- Implemented time-dependent boundary conditions for quenches.

## Abstract

We construct gravitational backgrounds dual to a family of field theories parameterized by a relevant coupling. They combine a non-trivial scalar field profile with a naked singularity. The naked singularity is necessary to preserve Lorentz invariance along the boundary directions. The singularity is however excised by introducing an infrared cutoff in the geometry. The holographic dictionary associated to the infrared boundary is developed. We implement quenches between two different values of the coupling. This requires considering time dependent boundary conditions for the scalar field both at the AdS boundary and the infrared wall.