Gravitational Chern-Simons Lagrangians and black hole entropy

Self Cite

Abstract. We discuss the topological and global gauge properties of the formula for a black hole entropy due to a purely gravitational Chern-Simons term. We study under what topological and geometrical conditions this formula is well-defined. To this end we have to analyze the global properties of the Chern-Simons term itself and the quantization of its coupling. We show that in some cases the coupling quantization may interfere with the well-definiteness of the entropy formula.

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Gravitational Chern-Simons terms and black hole entropy. Global aspects

Bonora

Cvitan

Prester

et al. 2012

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Holographic entanglement for Chern-Simons terms

Azeyanagi¹,

Loganayagam

2017

We derive the holographic entanglement entropy contribution from pure and mixed gravitational Chern-Simons(CS) terms in AdS 2k+1 . This is done through two different methods : first, by a direct evaluation of CS action in a holographic replica geometry and second by a descent of Dong's derivation applied to the corresponding anomaly polynomial. In lower dimensions (k = 1, 2), the formula coincides with the Tachikawa formula for black hole entropy from gravitational CS terms. New extrinsic curvature corrections appear for k ≥ 3 : we give explicit and concise expressions for the two pure gravitational CS terms in AdS 7 and present various consistency checks, including agreements with the black hole entropy formula when evaluated at the bifurcation surface.1 See also an earlier work [6] toward the proof of Ryu-Takayanagi formula and a criticism of this earlier proof can be found in [7].2 Works preceding Dong dealing with higher derivative actions include [10][11][12][13][14][15][16][17]. For some recent works relevant to the higher-derivative correction to holographic entanglement entropy formula, see [18][19][20][21][22][23][24][25][26][27][28][29][30]. See [28] for a generalization to the case involving derivatives of the Riemann tensor. 9 We would like to thank N. Iqbal and A. C. Wall for correspondence. 10 See Appendix A for a list of geometric quantities evaluated on this background. 11 We note that our notation for the Euclidean action deviates from [8] by a minus sign.

Constraints on anomalous fluid in arbitrary dimensions

Banerjee

Dutta

Jain

et al. 2013

Using the techniques developed in arxiv: 1203.3544 we compute the universal part of the equilibrium partition function characteristic of a theory with multiple abelian U(1) anomalies in arbitrary even spacetime dimensions. This contribution is closely linked to the universal anomaly induced transport coefficients in hydrodynamics which have been studied before using entropy techniques. Equilibrium partition function provides an alternate and a microscopically more transparent way to derive the constraints on these transport coefficients. We re-derive this way all the known results on these transport coefficients including their polynomial structure which has recently been conjectured to be linked to the anomaly polynomial of the theory. Further we link the local description of anomaly induced transport in terms of a Gibbs current to the more global description in terms of the partition function.