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## CFT Duals of Black Rings With Higher Derivative Terms

Citations: | 2 - 0 self |

### Citations

5605 | The large N limit of superconformal field theories and supergravity
- Maldacena
- 1998
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Citation Context .... . . . . . . . . . . . . . . . . . . . . . . . . . . 8 4 C-extremization approach 8 5 Summary and discussion 10 1 Introduction A decade before Maldacena’s AdS/CFT conjecture of gravity-gauge duality =-=[1]-=-, a relationship between gravity on AdS3 and the two dimensional conformal group was found by Brown and Henneaux [2]. They found that appropriate boundary conditions, which preserve the asymptotically... |

615 |
Central Charges in the Canonical Realization of Asymptotic Symmetries: An Example from Three-Dimensional Gravity
- Brown, Henneaux
- 1986
(Show Context)
Citation Context ...ntroduction A decade before Maldacena’s AdS/CFT conjecture of gravity-gauge duality [1], a relationship between gravity on AdS3 and the two dimensional conformal group was found by Brown and Henneaux =-=[2]-=-. They found that appropriate boundary conditions, which preserve the asymptotically AdS3 geometry, generate two Virasoro algebras. It is not a great leap to relate this asymptotic symmetry group to s... |

324 | hole entropy function, attractors and precision counting of microstates,” arXiv:0708.1270 [hep-th
- Sen, “Black
(Show Context)
Citation Context ...know the near horizon geometry. In [25] the near horizon of five dimensional supersymmetric black ring in the presence of higher derivative terms (2.3) is derived using the entropy function formalism =-=[33]-=-. In addition by using the entropy function formalism the macroscopic entropy of black 4Here γa1a2···am = 1 m!γ[a1γa2 · · · γam] which is antisymmetric in all indices. Also the covariant curvature R̂i... |

283 | Black hole entropy from near horizon microstates
- Strominger
- 1998
(Show Context)
Citation Context ...boundary and applying the Brown-Henneaux formalism to asymptotically AdS black hole solutions allows one to relate the macroscopic Bekenstein-Hawking entropy to the number of states of a boundary CFT =-=[3, 4, 5, 6]-=-. One uses the fact that if the asymptotic symmetry group is a Virasoro algebra with a particular central charge, the Cardy formula relates the central charge to entropy of the CFT in the large charge... |

215 |
A rotating black ring in five dimensions
- Emparan, Reall
(Show Context)
Citation Context ...Recently, people have tried to embed the Kerr/CFT approach in string theory [18, 19, 20]. In light of this we were motivated to study possible CFT duals of five dimensional supersymmetric black rings =-=[21]-=- in the presence of special higher derivative terms which are the supersymmetric completion of a mixed gauge-gravitational Chern-Simons term [22]. These solutions have SL(2,R)×U(1)×SO(3) near-horizon ... |

209 |
Black hole entropy
- Maldacena, Strominger, et al.
- 1997
(Show Context)
Citation Context ...side one expects that this kills the right-handed excitations, which means there is a (0,4)-CFT corresponded to SUSY black ring, and the microscopic entropy is given by one part of the Cardy formula, =-=[29, 30, 31, 32]-=- Smic = √ cLq̂0 6 . (1.1) On the other hand, in the Kerr/CFT approach, where the Virasoro is intimately related to the U(1) part of the isometry, which descends from the right-handed SL(2,R)R, one may... |

131 | Covariant theory of asymptotic symmetries, conservation laws and central charges,” Nucl
- Barnich, Brandt
- 2002
(Show Context)
Citation Context ... in studying the quantum behavior of the boundary fluctuations, we need to find the Dirac brackets which may lead to a Virasoro algebra with a central charge. To compute this central charge we follow =-=[35, 36, 37]-=-. The central charge is given by c(k) = 12 i ∫ ∂Σ k inv ζn [Lζ−ng; g] ∣∣∣∣ n3 (3.6) where |n3 stands for the term of order n 3 and k inv ζn [Lζ−ng; g] = −2 [ XcdLζn∇ cζd −n + (LζnX)cd∇ [cζ d] −n + Lζn... |

115 | Microscopic Black Hole Entropy in Theories with Higher Derivatives
- Kraus, Larsen
(Show Context)
Citation Context ...ition to using a generalisation of Kerr/CFT, corresponded to the U(1) part of the isometry of near horizon geometry [8], the fact that one locally has an AdS3 means that the c-extremisation formalism =-=[28]-=- can be applied. This approach is based on the relationship between the conformal anomaly and the variation of the gravitational action with respect to a metric of the form AdS3×Y where Y is compact. ... |

97 | Black hole entropy from conformal field theory in any dimension,”
- Carlip
- 1999
(Show Context)
Citation Context ...boundary and applying the Brown-Henneaux formalism to asymptotically AdS black hole solutions allows one to relate the macroscopic Bekenstein-Hawking entropy to the number of states of a boundary CFT =-=[3, 4, 5, 6]-=-. One uses the fact that if the asymptotic symmetry group is a Virasoro algebra with a particular central charge, the Cardy formula relates the central charge to entropy of the CFT in the large charge... |

72 | Surface charge algebra in gauge theories and thermodynamic integrability
- Barnich, Compere
(Show Context)
Citation Context ... in studying the quantum behavior of the boundary fluctuations, we need to find the Dirac brackets which may lead to a Virasoro algebra with a central charge. To compute this central charge we follow =-=[35, 36, 37]-=-. The central charge is given by c(k) = 12 i ∫ ∂Σ k inv ζn [Lζ−ng; g] ∣∣∣∣ n3 (3.6) where |n3 stands for the term of order n 3 and k inv ζn [Lζ−ng; g] = −2 [ XcdLζn∇ cζd −n + (LζnX)cd∇ [cζ d] −n + Lζn... |

63 |
Conformal description of horizon’s states,”
- Solodukhin
- 1999
(Show Context)
Citation Context ...boundary and applying the Brown-Henneaux formalism to asymptotically AdS black hole solutions allows one to relate the macroscopic Bekenstein-Hawking entropy to the number of states of a boundary CFT =-=[3, 4, 5, 6]-=-. One uses the fact that if the asymptotic symmetry group is a Virasoro algebra with a particular central charge, the Cardy formula relates the central charge to entropy of the CFT in the large charge... |

42 |
Statistical entropy of BTZ black hole in higher curvature gravity,” Phys
- Saida, Soda
- 2000
(Show Context)
Citation Context ... which forms the basis of the Virasoro algebra associated with the asymptotic symmetry group considered in the Kerr/CFT approach. 8This was previously shown for BTZ black hole solutions of 3D gravity =-=[39]-=-. 10 The incompatibility is however not so stark once one realises that c-extremization focuses on the near horizon geometry of the solutions, while the Kerr/CFT approach is based on the fluctuations ... |

37 |
What is a chiral 2d CFT? And what does it have to do with extremal black holes?,” arXiv:0906.3272
- Balasubramanian, Boer, et al.
(Show Context)
Citation Context ...pendent of any approach used to this counting. This is in agreement with the DLCQ approach which relates the left-handed excitations of the self-dual orbifold AdS3 geometry on two distinct boundaries =-=[41, 42, 43]-=-. In our case, The S1 part, which carries the angular momentum of the black ring, is fibred over the AdS2 part such that locally one has an AdS3 geometry called a self-dual orbifold of AdS3 [26, 27]. ... |

35 |
Symmetries and conservation laws in Lagrangian gauge theories with applications to the mechanics of black holes and to gravity in three dimensions,” arXiv:0708.3153 [hep-th
- Compere
(Show Context)
Citation Context ... in studying the quantum behavior of the boundary fluctuations, we need to find the Dirac brackets which may lead to a Virasoro algebra with a central charge. To compute this central charge we follow =-=[35, 36, 37]-=-. The central charge is given by c(k) = 12 i ∫ ∂Σ k inv ζn [Lζ−ng; g] ∣∣∣∣ n3 (3.6) where |n3 stands for the term of order n 3 and k inv ζn [Lζ−ng; g] = −2 [ XcdLζn∇ cζd −n + (LζnX)cd∇ [cζ d] −n + Lζn... |

29 |
Hamiltonian dynamics of bounded space-time and black hole entropy: Canonical method,” Nucl.Phys
- Park
(Show Context)
Citation Context |

29 |
A multi-boundary AdS orbifold and DLCQ holography: A universal holographic description of extremal black hole horizons
- Balasubramanian, Naqvi, et al.
- 2004
(Show Context)
Citation Context ...compared. In particular, the S1 part, which carries the angular momentum of the black ring, is fibred over the AdS2 part such that locally one has an AdS3 geometry called a self-dual orbifold of AdS3 =-=[26, 27]-=-. So in addition to using a generalisation of Kerr/CFT, corresponded to the U(1) part of the isometry of near horizon geometry [8], the fact that one locally has an AdS3 means that the c-extremisation... |

25 |
Microscopic entropy of the black ring
- Cyrier, Guica, et al.
- 2005
(Show Context)
Citation Context ...side one expects that this kills the right-handed excitations, which means there is a (0,4)-CFT corresponded to SUSY black ring, and the microscopic entropy is given by one part of the Cardy formula, =-=[29, 30, 31, 32]-=- Smic = √ cLq̂0 6 . (1.1) On the other hand, in the Kerr/CFT approach, where the Virasoro is intimately related to the U(1) part of the isometry, which descends from the right-handed SL(2,R)R, one may... |

23 | Higher-Derivative Corrections to the Asymptotic Virasoro Symmetry of 4d Extremal Black Holes
- Azeyanagi, Compere, et al.
(Show Context)
Citation Context ...d verified for higher dimensional rotating black holes [8, 9, 10, 11, 12, 13, 14, 15], Lagrangians with topological terms in four and five dimensions [16] and Lagrangians with higher derivative terms =-=[17]-=-. Notably, it was shown that in certain theories with gravity coupled to matter fields the associated central charge coming from the gravitational degrees of freedom is sufficient to account for the e... |

23 |
Supersymmetric Completion of an R2 Term
- Hanaki, Ohashi, et al.
- 2007
(Show Context)
Citation Context ...T duals of five dimensional supersymmetric black rings [21] in the presence of special higher derivative terms which are the supersymmetric completion of a mixed gauge-gravitational Chern-Simons term =-=[22]-=-. These solutions have SL(2,R)×U(1)×SO(3) near-horizon symmetries corresponding to an S1 fibred over AdS2×S2. For various technical reasons outlined below, this seems to be a promising case to study. ... |

22 | Extremal and nonextremal Kerr/CFT correspondences,
- Carlip
- 2011
(Show Context)
Citation Context ...sociated central charge coming from the gravitational degrees of freedom is sufficient to account for the entropy [11, 16]. Recently, people have tried to embed the Kerr/CFT approach in string theory =-=[18, 19, 20]-=-. In light of this we were motivated to study possible CFT duals of five dimensional supersymmetric black rings [21] in the presence of special higher derivative terms which are the supersymmetric com... |

22 | Precision entropy of spinning black holes
- Castro, Davis, et al.
(Show Context)
Citation Context ...ive terms one might 1 hope to study corrections to the entropy beyond the Cardy limit. It turns out that the near horizon geometry retains the same form upon addition of these higher derivative terms =-=[23, 24, 25]-=-, making calculations tractable. Secondly, the rich near horizon geometry of the SUSY black rings allows for various approaches to finding the entropy to be studied and compared. In particular, the S1... |

19 | Kerr/CFT correspondence and five-dimensional BMPV black holes,
- Isono, Tai, et al.
- 2009
(Show Context)
Citation Context ...ntral charge correctly accounts for the Bekenstein-Hawking entropy via the Cardy formula. The Kerr/CFT correspondence has been generalised to, and verified for higher dimensional rotating black holes =-=[8, 9, 10, 11, 12, 13, 14, 15]-=-, Lagrangians with topological terms in four and five dimensions [16] and Lagrangians with higher derivative terms [17]. Notably, it was shown that in certain theories with gravity coupled to matter f... |

15 |
Microscopics of Extremal Kerr from Spinning M5 Branes,” [arXiv:1010.0685 [hep-th
- Compere, Song, et al.
(Show Context)
Citation Context ...sociated central charge coming from the gravitational degrees of freedom is sufficient to account for the entropy [11, 16]. Recently, people have tried to embed the Kerr/CFT approach in string theory =-=[18, 19, 20]-=-. In light of this we were motivated to study possible CFT duals of five dimensional supersymmetric black rings [21] in the presence of special higher derivative terms which are the supersymmetric com... |

13 |
Near-horizon analysis of D=5
- Wit, Katmadas
(Show Context)
Citation Context ...ical charges using this formalism [23]. The near horizon geometry of black ring solutions with higher derivative terms (2.3) can be also found directly by solving the near horizon equations of motion =-=[34]-=-. In this subsection we report the result of these calculations and discuss the symmetries of the geometry in detail. The near horizon of supersymmetric black ring in five dimensions is given by ds2 =... |

9 |
Extremal Kerr black hole/CFT correspondence in the five dimensional Gódel universe,” Phys
- Peng, Wu
(Show Context)
Citation Context ...ntral charge correctly accounts for the Bekenstein-Hawking entropy via the Cardy formula. The Kerr/CFT correspondence has been generalised to, and verified for higher dimensional rotating black holes =-=[8, 9, 10, 11, 12, 13, 14, 15]-=-, Lagrangians with topological terms in four and five dimensions [16] and Lagrangians with higher derivative terms [17]. Notably, it was shown that in certain theories with gravity coupled to matter f... |

9 |
States of a chiral 2d CFT
- Balasubramanian, Parsons, et al.
(Show Context)
Citation Context ...pendent of any approach used to this counting. This is in agreement with the DLCQ approach which relates the left-handed excitations of the self-dual orbifold AdS3 geometry on two distinct boundaries =-=[41, 42, 43]-=-. In our case, The S1 part, which carries the angular momentum of the black ring, is fibred over the AdS2 part such that locally one has an AdS3 geometry called a self-dual orbifold of AdS3 [26, 27]. ... |

8 | One entropy function to rule them all - Goldstein, Jena |

8 |
R2-Corrections to black ring entropy. arXiv 2005
- Bena, Kraus
(Show Context)
Citation Context ...side one expects that this kills the right-handed excitations, which means there is a (0,4)-CFT corresponded to SUSY black ring, and the microscopic entropy is given by one part of the Cardy formula, =-=[29, 30, 31, 32]-=- Smic = √ cLq̂0 6 . (1.1) On the other hand, in the Kerr/CFT approach, where the Virasoro is intimately related to the U(1) part of the isometry, which descends from the right-handed SL(2,R)R, one may... |

7 | Near the horizon of 5D black rings,
- Loran, Soltanpanahi
- 2009
(Show Context)
Citation Context ...ntral charge correctly accounts for the Bekenstein-Hawking entropy via the Cardy formula. The Kerr/CFT correspondence has been generalised to, and verified for higher dimensional rotating black holes =-=[8, 9, 10, 11, 12, 13, 14, 15]-=-, Lagrangians with topological terms in four and five dimensions [16] and Lagrangians with higher derivative terms [17]. Notably, it was shown that in certain theories with gravity coupled to matter f... |

6 |
Two dimensional anti-de Sitter space and discrete light cone quantization,
- Cho, Lee, et al.
- 1999
(Show Context)
Citation Context ...compared. In particular, the S1 part, which carries the angular momentum of the black ring, is fibred over the AdS2 part such that locally one has an AdS3 geometry called a self-dual orbifold of AdS3 =-=[26, 27]-=-. So in addition to using a generalisation of Kerr/CFT, corresponded to the U(1) part of the isometry of near horizon geometry [8], the fact that one locally has an AdS3 means that the c-extremisation... |

5 | 5D Extremal Rotating Black Holes and CFT duals,
- Loran, Soltanpanahi
- 2009
(Show Context)
Citation Context |

5 |
On Entropy Function for Supersymmetric
- Cai, Pang
- 2007
(Show Context)
Citation Context ...ive terms one might 1 hope to study corrections to the entropy beyond the Cardy limit. It turns out that the near horizon geometry retains the same form upon addition of these higher derivative terms =-=[23, 24, 25]-=-, making calculations tractable. Secondly, the rich near horizon geometry of the SUSY black rings allows for various approaches to finding the entropy to be studied and compared. In particular, the S1... |

4 |
Beyond Logarithmic Corrections to Cardy Formula
- Loran, Sheikh-Jabbari, et al.
(Show Context)
Citation Context ...As long as we remain in the large charge regime, we do not need to consider subleading corrections. It means our results are in agreement with the canonical ensemble description of black ring used in =-=[40]-=-. This discussion also applies to the use of (3.12). The most interesting result of our study is that the Kerr/CFT and c-extremization approaches which are apparently related to different Virasoro alg... |