Holographic gravitational anomalies

By Per Kraus, F. Larsen. 2005

344 citations recorded by the source corpus.

In the AdS/CFT correspondence one encounters theories that are not invariant under diffeomorphisms. In the boundary theory this is a gravitational anomaly, and can arise in 4k+2 dimensions. In the bulk, there can be gravitational Chern-Simons terms which vary by a total derivative. We work out the holographic stress tensor for such theories, and demonstrate agreement between the bulk and boundary. Anomalies lead to novel effects, such as a nonzero angular momentum for global AdS3. In string theory such Chern-Simons terms are known with exact coefficients. The resulting anomalies, combined with symmetries, imply corrections to the Bekenstein-Hawking entropy of black holes that agree exactly with the microscopic counting.

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

View Paper: https://www.semanticscholar.org/paper/273062cbcc3f0f3f9073091bffc27e8a5051f215

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. Marika Taylor
2. Ashoke Sen
3. Kostas Skenderis
4. N. Warner
5. I. Bena
6. S. Trivedi
7. B. C. Rees
8. Per Kraus

In Nuclear and High Energy Physics

1. Ashoke Sen
2. Marika Taylor
3. Kostas Skenderis
4. N. Warner
5. I. Bena
6. B. C. Rees
7. Per Kraus
8. S. Trivedi

In Statistical and Nonlinear Physics

1. Ashoke Sen
2. Marika Taylor
3. Kostas Skenderis
4. N. Warner
5. S. Trivedi
6. I. Bena
7. A. Dabholkar
8. B. C. Rees

Citations in the corpus

• Black hole microstates and attractor without supersymmetry (2006, methodology): “8) can be interpreted as the left- and rightmoving central charges of the two dimensional CFT living on the boundary of the AdS3[35, 34, 55].”
• Black hole entropy function, attractors and precision counting of microstates (2007, methodology): “As long as the near horizon geometry of the black hole is given by a locally AdS3 space, the results (4.2.6), (4.2.8) are exact.”
• Chiral gravity in three dimensions (2008, methodology): “Now let’s compute the entropy of the black hole, assuming the existence of a unitary dual CFT, following [7] [8].”
• More on Massive 3D Gravity (2009, background): “ussion. If we consider the most general CGMG model (with LCS term) something similar might happen. In this case the parity-violating Chern-Simons term leads to different left- and right-moving sectors [38]. One finds cL = 3ℓ 2G3 σ + 1 2ℓ2m2 + 1 µℓ , cR = 3ℓ 2G3 σ + 1 2ℓ2m2 − 1 µℓ , (6.7) which all”
• Instability in cosmological topologically massive gravity at the chiral point (2008, methodology): “for the boundary metric, which coincides with [9] for γ (1) ij = 0 only.”
• Black hole entropy in the presence of Chern–Simons terms (2006, methodology): “The methods employed were diverse: it was done in [10, 11] via the consideration of the boundary Virasoro algebra, in [12] by dimensional reduction to two dimensions and application of Wald’s formula, in [14] using the description of three-dimensional gravity as the SO(2, 2) Chern–Simons theory, and”
• Topologically Massive Gravity and the AdS/CFT Correspondence (2009, methodology): “Although one may explicitly check that it vanishes if b(0)ij = 0 and for ρ0 → 0 [41], this is no longer the case for nonzero b(0)ij .”
• Lectures on black holes, topological strings and quantum attractors (2006, background): “ies exactly to all orders in inverse charge. Recent developments show that this agreement is largely a consequence of supersymmetry and anomaly cancellation for black holes which have an AdS 3 region [107,130,131] (see also the lectures by P. Kraus [132] in this volume). 6.4 N = 2 Orbifolds We concl”
• Black holes, black rings and their microstates (2007, background): “Reviews of this can be found in [60, 61], and a limited sample of work that is related to the exploration presented here can be found in [62, 63, 64, 65, 66, 145, 146, 147 , 148, 149].”
• Holographic gravitational anomaly and chiral vortical effect (2011, background): “Similar issues have arisen before in the holographic theory of purely gravitational anomalies of two dimensional field theories [62, 67, 68].”
• Warped AdS3 black holes (2008, background): “A final nontrivial check is that the difference between the left and right moving central charges matches the coefficient of the diffeomorphism anomaly [50] cL − cR = − l Gν (7.”
• Thermodynamics, gravitational anomalies and cones (2012, methodology): “For example when carrying out computations in the framework of the AdS/CFT correspondence such terms (along with other Gibbons-Hawking like terms) give a finite gauge(or diffeomorphism)-invariant contribution to the dual stress tensor [30].”
• Massive 3D supergravity (2009, methodology): “where we have also included the known contribution of the parity-violating Lorentz–Chern– Simons term [28].”
• On the thermodynamic geometry of BTZ black holes (2006, background): “2 Recently Kraus and Larsen [14] and Solodukhin [15] have shown how various properties of BTZ black holes are affected by the addition of the gravitational Chern-Simons term to the three dimensional Einstein-Hilbert action.”