科研之友
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摘要
We consider the AdS(3)/CFT2 duality between certain coset WZW theories at large central charge and Vasiliev 3D higher spin gravity with a single complex field. On the gravity side, we discuss a higher spin black hole solution with chemical potential coupled to the spin-4 charge. We compute the perturbative expansion of the higher spin charges and of the partition function at high order in the chemical potential. The result is obtained with its exact dependence on the parameter lambda characterising the symmetry algebra hs[lambda]. The cases of lambda = 0, 1 are successfully compared with a CFT calculation. The special point lambda = infinity, the Bergshoeff-Blencowe-Stelle limit, is also solved in terms of the exact generating function for the partition function. The thermodynamics of both the spin-4 and the usual spin-3 black holes is studied in order to discuss the lambda dependence of the BTZ critical temperature T-BTZ(lambda). In the spin-3 case, it is shown that T-BTZ (lambda) converges for large lambda to the critical point of the lambda = infinity known partition function previously found by the authors. In the spin4 black hole, the picture is qualitatively similar and T-BTZ(infinity) is accurately determined by various numerical methods. The analysis of the spin-4 background is completed by the computation of the scalar propagator at the O(alpha(5)) order, which again shows many similarities with the spin-3 case.
- 出版日期2014-7-9
