### Resumen

We describe a holographic approach to explicitly computing the universal logarithmic contributions to entanglement and Renyi entropies for free conformal scalar and spinor fields on even-dimensional spheres. This holographic derivation proceeds in two steps: first, following Casini and Huerta, a conformal mapping to thermal entropy in a hyperbolic geometry; then identification of the hyperbolic geometry with the conformal boundary of a bulk hyperbolic space and use of an AdS/CFT holographic formula to compute the resultant functional determinant. We explicitly verify the connection with the type-A trace anomaly for the entanglement entropy, whereas the Renyi entropy is computed with the aid of the Sommerfeld formula in order to deal with a conical defect. We show that as a by-product, the log coefficient of the Renyi entropy for round spheres can be efficiently obtained as the q-analog of a procedure similar to the one found by Cappelli and D'Appollonio that rendered the type-A trace anomaly.

Idioma | English |
---|---|

Número de artículo | 105401 |

Publicación | Journal of Physics A: Mathematical and Theoretical |

Volumen | 48 |

Número de edición | 10 |

DOI | |

Estado | Published - 13 mar 2015 |

### Huella dactilar

### Keywords

### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Statistics and Probability
- Modelling and Simulation
- Mathematical Physics
- Physics and Astronomy(all)

### Citar esto

*Journal of Physics A: Mathematical and Theoretical*,

*48*(10), [105401]. DOI: 10.1088/1751-8113/48/10/105401

}

*Journal of Physics A: Mathematical and Theoretical*, vol. 48, n.º 10, 105401. DOI: 10.1088/1751-8113/48/10/105401

**On Renyi entropy for free conformal fields : Holographic and q-analog recipes.** / Aros, R.; Bugini, F.; Diaz, D. E.

Resultado de la investigación: Research - revisión exhaustiva › Article

TY - JOUR

T1 - On Renyi entropy for free conformal fields

T2 - Journal of Physics A: Mathematical and Theoretical

AU - Aros,R.

AU - Bugini,F.

AU - Diaz,D. E.

PY - 2015/3/13

Y1 - 2015/3/13

N2 - We describe a holographic approach to explicitly computing the universal logarithmic contributions to entanglement and Renyi entropies for free conformal scalar and spinor fields on even-dimensional spheres. This holographic derivation proceeds in two steps: first, following Casini and Huerta, a conformal mapping to thermal entropy in a hyperbolic geometry; then identification of the hyperbolic geometry with the conformal boundary of a bulk hyperbolic space and use of an AdS/CFT holographic formula to compute the resultant functional determinant. We explicitly verify the connection with the type-A trace anomaly for the entanglement entropy, whereas the Renyi entropy is computed with the aid of the Sommerfeld formula in order to deal with a conical defect. We show that as a by-product, the log coefficient of the Renyi entropy for round spheres can be efficiently obtained as the q-analog of a procedure similar to the one found by Cappelli and D'Appollonio that rendered the type-A trace anomaly.

AB - We describe a holographic approach to explicitly computing the universal logarithmic contributions to entanglement and Renyi entropies for free conformal scalar and spinor fields on even-dimensional spheres. This holographic derivation proceeds in two steps: first, following Casini and Huerta, a conformal mapping to thermal entropy in a hyperbolic geometry; then identification of the hyperbolic geometry with the conformal boundary of a bulk hyperbolic space and use of an AdS/CFT holographic formula to compute the resultant functional determinant. We explicitly verify the connection with the type-A trace anomaly for the entanglement entropy, whereas the Renyi entropy is computed with the aid of the Sommerfeld formula in order to deal with a conical defect. We show that as a by-product, the log coefficient of the Renyi entropy for round spheres can be efficiently obtained as the q-analog of a procedure similar to the one found by Cappelli and D'Appollonio that rendered the type-A trace anomaly.

KW - entanglement

KW - holography

KW - Renyi entropy

UR - http://www.scopus.com/inward/record.url?scp=84923289195&partnerID=8YFLogxK

U2 - 10.1088/1751-8113/48/10/105401

DO - 10.1088/1751-8113/48/10/105401

M3 - Article

VL - 48

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 10

M1 - 105401

ER -