# 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} }

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…

## 9 Citations

### Free energy and defect $C$-theorem in free scalar theory

- Mathematics
- 2021

We describe conformal defects of $p$ dimensions in a free scalar theory on a $d$-dimensional flat space as boundary conditions on the conformally flat space $\mathbb{H}^{p+1}\times…

### On marginal operators in boundary conformal field theory

- PhysicsJournal of High Energy Physics
- 2019

Abstract
The presence of a boundary (or defect) in a conformal field theory allows one to generalize the notion of an exactly marginal deformation. Without a boundary, one must find an operator of…

### CFT in AdS and boundary RG flows

- Physics
- 2020

Using the fact that flat space with a boundary is related by a Weyl transformation to anti-de Sitter (AdS) space, one may study observables in boundary conformal field theory (BCFT) by placing a CFT…

### Free energy and defect C-theorem in free fermion

- MathematicsJournal of High Energy Physics
- 2021

Abstract
We describe a p-dimensional conformal defect of a free Dirac fermion on a d-dimensional flat space as boundary conditions on a conformally equivalent space ℍp+1×$$ \mathbbm{S} $$
S
d−p−1.…

### Defect a-theorem and a-maximization

- MathematicsJournal of High Energy Physics
- 2022

Abstract
Conformal defects describe the universal behaviors of a conformal field theory (CFT) in the presence of a boundary or more general impurities. The coupled critical system is characterized…

### Fermions in AdS and Gross-Neveu BCFT

- PhysicsJournal of High Energy Physics
- 2022

Abstract
We study the boundary critical behavior of conformal field theories of interacting fermions in the Gross-Neveu universality class. By a Weyl transformation, the problem can be studied by…

### Simplified path integral for supersymmetric quantum mechanics and type-A trace anomalies

- Physics
- 2018

A bstractParticles in a curved space are classically described by a nonlinear sigma model action that can be quantized through path integrals. The latter require a precise regularization to deal with…

### A note on rectangular partially massless fields

- Mathematics
- 2017

We study a class of non-unitary so(2,d) representations (for even values of d), describing mixed-symmetry partially massless fields which constitute natural candidates for defining higher-spin…

### How a-Type Anomalies Can Depend on Marginal Couplings.

- GeologyPhysical review letters
- 2020

It is argued that the constant term F for odd dimensional surfaces can depend on marginal parameters, and that the Wess-Zumino consistency condition relates them to the derivative of the a anomaly with respect to the marginal coupling.

## References

SHOWING 1-10 OF 23 REFERENCES

### Spectral boundary conditions in one-loop quantum cosmology.

- Physics, MathematicsPhysical review. D, Particles and fields
- 1991

The one-loop prefactor in the Hartle-Hawking amplitude in quantum cosmology can be studied using the generalized Riemann $\ensuremath{\zeta}$ function formed from the squared eigenvalues of the four-dimensional fermionic operators.

### 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…