# Boundary conformal anomalies on hyperbolic spaces and Euclidean balls

@article{RodguezGmez2017BoundaryCA,
title={Boundary conformal anomalies on hyperbolic spaces and Euclidean balls},
author={Diego Rodŕıguez-G{\'o}mez and Jorge G Russo},
journal={Journal of High Energy Physics},
year={2017},
volume={2017},
pages={1-15}
}
• Published 25 October 2017
• Mathematics
• Journal of High Energy Physics
A bstractWe compute conformal anomalies for conformal field theories with free conformal scalars and massless spin 1/2 fields in hyperbolic space ℍd and in the ball Bd$${\mathbb{B}}^d$$, for 2≤d≤7. These spaces are related by a conformal transformation. In even dimensional spaces, the conformal anomalies on ℍ2n and B2n$${\mathbb{B}}^{2n}$$ are shown to be identical. In odd dimensional spaces, the conformal anomaly on B2n+1$${\mathbb{B}}^{2n+1}$$ comes from a boundary contribution, which…

• Mathematics
• 2021

### Universal entanglement and boundary geometry in conformal field theory

• Computer Science
• 2015
It is shown that the universal part of the EE can be treated as a purely boundary effect and an explicit form for the A-type anomaly contribution to the Wess-Zumino term for the trace anomaly is derived, now including boundary terms.

### Holography, Entanglement Entropy, and Conformal Field Theories with Boundaries or Defects

• Physics
• 2013
We study entanglement entropy (EE) in conformal field theories (CFTs) in Minkowski space with a planar boundary or with a planar defect of any codimension. In any such boundary CFT or defect CFT

### Boundary conformal field theory and a boundary central charge

• Mathematics
• 2017
A bstractWe consider the structure of current and stress tensor two-point functions in conformal field theory with a boundary. The main result of this paper is a relation between a boundary central

### Free energy and boundary anomalies on S ×Hb spaces

• Mathematics
• 2017
We compute free energies as well as conformal anomalies associated with boundaries for a conformal free scalar field. To that matter, we introduce the family of spaces of the form S × H, which are

### Conformal anomaly of (2,0) tensor multiplet in six-dimensions and AdS / CFT correspondence

• Chemistry
• 2000
We compute the conformal anomaly in the free d = 6 superconformal (2,0) tensor multiplet theory on generic curved background. Up to a trivial covariant total-derivative term, it is given by the sum

### The conformal anomaly in N-dimensional space having a hyperbolic spatial section

• Mathematics
• 1995
The conformal anomaly for spinors and scalars on a N -dimensional hyperbolic space is calculated explicitly, by using zeta-function regularization techniques and the Selberg trace formula. In the

### Anomalies, entropy, and boundaries

• Physics
• 2016
A relation between the conformal anomaly and the logarithmic term in the entanglement entropy is known to exist for CFT's in even dimensions. In odd dimensions the local anomaly and the logarithmic

### The conformal anomaly in N‐dimensional spaces having a hyperbolic spatial section

• Mathematics
• 1995
The conformal anomaly for spinors and scalars on an N‐dimensional hyperbolic space is calculated explicitly, by using zeta‐function regularization techniques and the Selberg trace formula. In the