Higher spin black holes from CFT
By M. Gaberdiel, Thomas Hartman, Kewang Jin. 2012
205 citations recorded by the source corpus.
A bstractHigher spin gravity in three dimensions has explicit black holes solutions, carrying higher spin charge. We compute the free energy of a charged black hole from the holographic dual, a 2d CFT with extended conformal symmetry, and find exact agreement with the bulk thermodynamics. In the CFT, higher spin corrections to the free energy can be calculated at high temperature from correlation functions of $ \mathcal{W} $-algebra currents.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/b7763ccb2d925c28c3fc7eb39e37132878823e17
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Citations in the corpus
- Thermodynamics of higher spin black holes in 3D (2012, methodology): “The first few orders in the expansion of the partition function of the BTZ-branch have already been matched with a perturbative expansion (in μ) about the IR CFT with W3 symmetry [49].”
- Warped Conformal Field Theory (2012, background): “This type of approach may be a useful way to understand the modular properties of partition functions in these theories, as studied in [47, 48].”
- Black holes in three dimensional higher spin gravity: a review (2012, methodology): “Consequently, the holographic calculation of the partition functions produces nontrivial predictions on the CFT side [72,73], which can be checked by direct CFT calculations [74] when a CFT with the right symmetries and large central charge is available.”
- Generalized black holes in three-dimensional spacetime (2014, background): “However this interpretation leads to conflicting results when its entropy was evaluated [22, 23, 30–42, 68].”
- Minimal model holography (2012, background): “es dominate the spectrum? Note that at asymptotically high temperatures (and thus very high energies) we have seen, in Sec. 6.2, a match of the states in the CFT with those of black holes in the bulk [92, 62]. (v) Extracting thermal behavior from torus two point function. We need to put the two poin”
- Towards metric-like higher spin gauge theories in three dimensions (2012, background): “2 of [33] (see also [34, 43] for a discussion of the proposal of [33] from a CFT perspective).”
- The worldsheet dual of the symmetric product CFT (2018, methodology): “e2ˇim(t+ w m˝) 2 # 1 t+z;˝ # 1 t z 2 ;˝ (˝)4 : (C.44) Here the prefactor eˇi 2˝ (t 2z ) comes from the general transformation property of weak Jacobi forms of index 1 and 1, respectively, see e.g. [75], and we have used (F.5). In the nal step we have also set t= m˝ w(because of the function), and us”
- Thermodynamics of higher spin black holes in AdS3 (2013, background): “In the present context, this observation might help us understand why the CFT computations of [18, 43] are in agreement with the entropy as computed in the holomorphic formulation, rather than its canonical version.”