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

Eksperimentel subatomar fysik

8 Citationer (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.

Originalsprog	Engelsk
Artikelnummer	027
Tidsskrift	Journal of High Energy Physics (Online)
Vol/bind	2013
Udgave nummer	12
ISSN	1126-6708
DOI	https://doi.org/10.1007/jhep12(2013)027
Status	Udgivet - 3 dec. 2013

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10.1007/jhep12(2013)027

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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.",

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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

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