On the partition functions of higher spin black holes

M. Beccaria; Guido Macorini

doi:10.1007/jhep12(2013)027

On the partition functions of higher spin black holes

M. Beccaria, Guido Macorini

Experimental Particle Physics

8 Citations (Scopus)

Abstract

We reconsider black hole solutions of D = 3 higher-spin gravity in the hs[λ] ⊕ hs[λ] Chern-Simons formulation. A suitable generalisation of the BTZ black hole has a spin-3 chemical potential α, and non-zero values of all the conserved charges associated with the asymptotic W_∞[λ] symmetry. We extend the available perturbative expansion of the partition function to order O(α¹⁸) for generic values of the λ parameter. The result matches the CFT prediction at λ = 0 and at λ = 1 where we provide the exact all-order expansion of the partition function. The perturbative series is then analysed in the interesting non-trivial limit λ → ∞ and we derive the exact analytical expressions of the partition function and the spin-4 charge in closed form as functions of α. Also, the first subleading correction at large λ is shown to be simply related to the leading contribution.

Original language	English
Article number	027
Journal	Journal of High Energy Physics (Online)
Volume	2013
Issue number	12
ISSN	1126-6708
DOIs	https://doi.org/10.1007/jhep12(2013)027
Publication status	Published - 3 Dec 2013

Access to Document

10.1007/jhep12(2013)027

Cite this

@article{55467b4d687840d89e8ff2f1a554fe62,

title = "On the partition functions of higher spin black holes",

abstract = "We reconsider black hole solutions of D = 3 higher-spin gravity in the hs[λ] ⊕ hs[λ] Chern-Simons formulation. A suitable generalisation of the BTZ black hole has a spin-3 chemical potential α, and non-zero values of all the conserved charges associated with the asymptotic W∞[λ] symmetry. We extend the available perturbative expansion of the partition function to order O(α18) for generic values of the λ parameter. The result matches the CFT prediction at λ = 0 and at λ = 1 where we provide the exact all-order expansion of the partition function. The perturbative series is then analysed in the interesting non-trivial limit λ → ∞ and we derive the exact analytical expressions of the partition function and the spin-4 charge in closed form as functions of α. Also, the first subleading correction at large λ is shown to be simply related to the leading contribution.",

author = "M. Beccaria and Guido Macorini",

year = "2013",

month = dec,

day = "3",

doi = "10.1007/jhep12(2013)027",

language = "English",

volume = "2013",

journal = "Journal of High Energy Physics (Online)",

issn = "1126-6708",

publisher = "Springer",

number = "12",

}

TY - JOUR

T1 - On the partition functions of higher spin black holes

AU - Beccaria, M.

AU - Macorini, Guido

PY - 2013/12/3

Y1 - 2013/12/3

N2 - We reconsider black hole solutions of D = 3 higher-spin gravity in the hs[λ] ⊕ hs[λ] Chern-Simons formulation. A suitable generalisation of the BTZ black hole has a spin-3 chemical potential α, and non-zero values of all the conserved charges associated with the asymptotic W∞[λ] symmetry. We extend the available perturbative expansion of the partition function to order O(α18) for generic values of the λ parameter. The result matches the CFT prediction at λ = 0 and at λ = 1 where we provide the exact all-order expansion of the partition function. The perturbative series is then analysed in the interesting non-trivial limit λ → ∞ and we derive the exact analytical expressions of the partition function and the spin-4 charge in closed form as functions of α. Also, the first subleading correction at large λ is shown to be simply related to the leading contribution.

AB - We reconsider black hole solutions of D = 3 higher-spin gravity in the hs[λ] ⊕ hs[λ] Chern-Simons formulation. A suitable generalisation of the BTZ black hole has a spin-3 chemical potential α, and non-zero values of all the conserved charges associated with the asymptotic W∞[λ] symmetry. We extend the available perturbative expansion of the partition function to order O(α18) for generic values of the λ parameter. The result matches the CFT prediction at λ = 0 and at λ = 1 where we provide the exact all-order expansion of the partition function. The perturbative series is then analysed in the interesting non-trivial limit λ → ∞ and we derive the exact analytical expressions of the partition function and the spin-4 charge in closed form as functions of α. Also, the first subleading correction at large λ is shown to be simply related to the leading contribution.

U2 - 10.1007/jhep12(2013)027

DO - 10.1007/jhep12(2013)027

M3 - Journal article

SN - 1126-6708

VL - 2013

JO - Journal of High Energy Physics (Online)

JF - Journal of High Energy Physics (Online)

IS - 12

M1 - 027

ER -

On the partition functions of higher spin black holes

Abstract

Access to Document

Fingerprint

Cite this