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H. Osborn and A. C. Petkou, Implications of conformal invariance in field theories for general dimensions , Annals Phys. 231
1994
Earlier work this paper cites.
S. S. Gubser, I. R. Klebanov and A. A. Tseytlin, Coupling constant dependence in the thermodynamics of N=4 supersymmetric Yang-Mills theory , Nucl. Phys. B534
1998
Earlier work this paper cites.
G. Arutyunov and S. Frolov, Three point Green function of the stress energy tensor in the AdS / CFT correspondence , Phys. Rev. D60
1999
Earlier work this paper cites.
G. T. Horowitz and N. Itzhaki, Black holes, shock waves, and causality in the AdS / CFT correspondence , JHEP 02
1999
Earlier work this paper cites.
D. T. Son and A. O. Starinets, Minkowski space correlators in AdS / CFT correspondence: Recipe and applications , JHEP 09
2002
Earlier work this paper cites.
R.-G. Cai, Gauss-Bonnet black holes in AdS spaces , Phys. Rev. D65
2002
Earlier work this paper cites.
D. M. Hofman and J. Maldacena, Conformal collider physics: Energy and charge correlations , JHEP 05
Original
2008
Earlier work this paper cites.
A. Buchel, R. C. Myers, M. F. Paulos and A. Sinha, Universal holographic hydrodynamics at finite coupling , Phys. Lett. B669
Original
2008
Earlier work this paper cites.
P. Romatschke and D. T. Son, Spectral sum rules for the quark-gluon plasma , Phys. Rev. D80
Original
2009
Earlier work this paper cites.
A. Buchel, R. C. Myers and A. Sinha, Beyond eta/s = 1/4 pi , JHEP 03
Original
2009
Earlier work this paper cites.

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2017

Chowdhury, Subham Dutta

We study holographic shear sum rules in Einstein gravity with curvature squared corrections.

Sum rules relate weighted integral over spectral densities of retarded correlators in the shear channel to the one point functions of the CFTs.
The proportionality constant can be written in terms of the data of three point functions of the stress tenors of the CFT ($t_2$ and $t_4$).
For CFTs dual to two derivative Einstein gravity, this proportionality constant is just $\frac{d}{2(d+1)}$.

H. Osborn and A. C. Petkou, Implications of conformal invariance in field theories for general dimensions , Annals Phys. 231
1994
Earlier work this paper cites.
S. S. Gubser, I. R. Klebanov and A. A. Tseytlin, Coupling constant dependence in the thermodynamics of N=4 supersymmetric Yang-Mills theory , Nucl. Phys. B534
1998
Earlier work this paper cites.
G. Arutyunov and S. Frolov, Three point Green function of the stress energy tensor in the AdS / CFT correspondence , Phys. Rev. D60
1999
Earlier work this paper cites.
G. T. Horowitz and N. Itzhaki, Black holes, shock waves, and causality in the AdS / CFT correspondence , JHEP 02
1999
Earlier work this paper cites.
D. T. Son and A. O. Starinets, Minkowski space correlators in AdS / CFT correspondence: Recipe and applications , JHEP 09
2002
Earlier work this paper cites.
R.-G. Cai, Gauss-Bonnet black holes in AdS spaces , Phys. Rev. D65
2002
Earlier work this paper cites.
D. M. Hofman and J. Maldacena, Conformal collider physics: Energy and charge correlations , JHEP 05
Original
2008
Earlier work this paper cites.
A. Buchel, R. C. Myers, M. F. Paulos and A. Sinha, Universal holographic hydrodynamics at finite coupling , Phys. Lett. B669
Original
2008
Earlier work this paper cites.
P. Romatschke and D. T. Son, Spectral sum rules for the quark-gluon plasma , Phys. Rev. D80
Original
2009
Earlier work this paper cites.
A. Buchel, R. C. Myers and A. Sinha, Beyond eta/s = 1/4 pi , JHEP 03
Original
2009
Earlier work this paper cites.