Higher spin black holes

By M. Gutperle, Per Kraus. 2011

339 citations recorded by the source corpus.

We study classical solutions of three dimensional higher spin gravity in the Chern-Simons formulation. We find solutions that generalize the BTZ black hole and carry spin-3 charge. The black hole entropy formula yields a result for the asymptotic growth of the partition function at finite spin-3 chemical potential. Along the way, we develop technology for computing AdS/CFT correlation functions involving higher spin operators.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/d42205e59700fba756741ceae79be2d174b15698

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. Eric Perlmutter
2. M. Gaberdiel
3. Rajesh Gopakumar
4. Per Kraus
5. Thomas Hartman
6. M. Ammon
7. M. Gutperle
8. J. Boer

In Nuclear and High Energy Physics

1. Eric Perlmutter
2. M. Gaberdiel
3. Per Kraus
4. Rajesh Gopakumar
5. Thomas Hartman
6. M. Gutperle
7. M. Ammon
8. J. Boer

In Statistical and Nonlinear Physics

1. Eric Perlmutter
2. M. Gaberdiel
3. Rajesh Gopakumar
4. Per Kraus
5. M. Ammon
6. M. Gutperle
7. Thomas Hartman
8. J. Boer

Citations in the corpus

• Semiclassical Virasoro blocks from AdS3 gravity (2015, background): “The above rules will yield the correct correlation functions on the plane because it is easy to see that gauge invariance implies that they will obey the correct Ward identities [39–41], and these are sufficient to fix the result.”
• Conical defects in higher spin theories (2011, background): “This is analogous to the situation of black hole solutions carrying higher spin charge discussed in [28, 29], where a gauge exists in which the black hole metric becomes a smooth traversable wormhole.”
• Partition functions of holographic minimal models (2011, background): “A first attempt at constructing new black holes in higher spin theories has recently been made in [60], but the black holes described there do not seem to have this property.”
• Thermodynamics of higher spin black holes in 3D (2012, methodology): “To make contact with the expressions of [36, 43] we first solve the first holonomy condition to obtain T = √”
• Partition functions of higher spin black holes and their CFT duals (2011, methodology): “Here, extending previous work [17,18], we focus on the D=2+1 dimensional higher spin theory [19,20,21], and we will consider black holes that generalize the BTZ solution [22]; see [23,24,25] for other work on black holes in higher spin gravity.”
• Thermodynamics of higher spin black holes in AdS3 (2013, background): “In [15] it was proposed to evaluate the entropy indirectly by demanding the existence of a well-defined partition function and consistency with the first law of thermodynamics.”
• Higher spin gravity in 3D: Black holes, global charges and thermodynamics (2012, background): “Note that in the case of μ = μ0, where μ0 is an arbitrary constant without variation, which corresponds to the one considered in [1, 2], the function F becomes fixed according to F = μ0W, so that the energy reduces to”
• Higher spin black holes from CFT (2012, methodology): “The original black holes of [22] are solutions of sl(N) gravity, which has gauge fields up to spin N .”
• Bounding the space of holographic CFTs with chaos (2016, background): “[41–44]), entanglement and Rényi entropies and Wilson line probes (e.”
• Generalized black holes in three-dimensional spacetime (2014, background): “[21, 22] is actually a special case of a W (2) 3 black hole and it is therefore endowed, in addition to the gravitational charge of spin 2, with lower spin charges 1 and 3/2 rather than with the higher spin 3 charge.”
• Spacetime geometry in higher spin gravity (2011, methodology): “In [43] it was proposed that the holonomies of the Chern-Simons gauge fields around the Euclidean time circle should take the same values as for the BTZ black holes.”
• Universality of long-distance AdS physics from the CFT bootstrap (2014, background): “It would be particularly interesting to see if the WN blocks can be interpreted as thermal correlators, since it might shed light on whether the AdS duals of these theories have black hole-like states [71, 72].”
• Towards metric-like higher spin gauge theories in three dimensions (2012, background): “The black hole solutions of [32, 33, 35, 36] are constructed in such a way that they have a pointwise smooth BTZ limit if one switches off the spin-3 charge.”
• The action for higher spin black holes in three dimensions (2012, methodology): “Recently[10], in the context of higher spins fields, a shortcut has been used to evaluate the action.”
• Black holes and singularity resolution in higher spin gravity (2011, background): “In [15, 16, 17] such solutions were constructed.”
• Minimal model holography (2012, methodology): “The original construction in [73] was done for spin-3 gravity, but this was later generalized to the case of the hs[λ] higher spin theories in [92].”
• Black holes in three dimensional higher spin gravity: a review (2012, methodology): “Alternatively (see section 4 of [69] for details), one can translate these variations into”
• Scalar fields and three-point functions in D = 3 higher spin gravity (2011, methodology): “For instance, there is by now a good understanding of higher spin black holes in D=3 [27,28,23,29,30]; in particular their entropy is known to match that of the dual CFT in the high temperature limit [23].”