# Entanglement entropy and complexity of singular subregions in deformed CFT

## TL;DR

This paper investigates how scalar field deformations in the bulk AdS space affect entanglement entropy and subregion complexity in the boundary CFT, revealing new singular and universal logarithmic corrections for various singular subregions.

## Contribution

It provides the first detailed calculation of corrections to entanglement entropy and complexity for singular subregions due to bulk scalar field deformations in AdS/CFT.

## Key findings

- Discovery of new singular terms in entropy and complexity
- Identification of universal logarithmic corrections for specific conformal weights
- Analysis across different dimensions and subregion geometries

## Abstract

In the framework of the AdS/CFT correspondence, imposing a scalar field in the bulk space-time leads to deform the corresponding CFT in the boundary, which may produce corrections to entanglement entropy, as well as the so-called subregion complexity. We have computed such corrections for a set of singular subregions including kink, cones and creases in different dimensions. Our calculations shows new singular terms including universal logarithmic corrections for entanglement entropy and subregion complexity for some distinct values of conformal weight.