Causality in AdS/CFT and Lovelock theory

Abstract

Abstract:We explore the constraints imposed on higher curvature corrections of the Lovelock type due to causality restrictions in the boundary of asymptotically AdS spacetime. In the framework of AdS/CFT, this is related to positivity of the energy constraints that arise in conformal collider physics. We present explicit analytic results that fully address these issues for cubic Lovelock gravity in arbitrary dimensions and give the formal analytic results that comprehend general Lovelock theory. The computations can be performed in two ways, both by considering a thermal setup in a black hole background and by studying the scattering of gravitons with a shock wave in AdS. We show that both computations coincide in Lovelock theory. The different helicities, as expected, provide the boundaries defining the region of allowed couplings. We generalize these results to arbitrary higher dimensions and discuss their consequences on the shear viscosity to energy density ratio of CFT plasmas, the possible existence of Boulware-Deser instabilities in Lovelock theory and the extent to which the AdS/CFT correspondence might be valid for arbitrary dimensions.

Holographic stress tensor at finite coupling

“…(5.11) This is the expected result for cubic Lovelock theory [62][63][64][65] where 2c 7 =c 8 and hence t 4 = 0. We have also checked that our general expressions are in agreement with [25,26,67,68].…”

“…Direct holographic calculation of the three point functions are involved and challenging. We will follow the alternative route to derivation of the three point functions following the analysis of [23] and used in [23,25,26,[62][63][64][65]. The energy flux associated with a localized perturbation of fixed energy ij T ij , where ij is the polarization tensor, in the d(> 3) dimensional CFT background is given by…”

New type of phase transition in gravitational theories

“…Interesting implications of these terms within the context of the AdS/CFT correspondence has been recently the focus of thorough investigation (see, e.g., [8][9][10][11][12][13][14][15][16]). They allow for the holographic description of a broad family of quantum field theories (like 4d superconformal field theories with unequal central charges [17]), as well as for the study of the fluid/gravity correspondence beyond the EH gravitational sector.…”

The first order hydrodynamics via AdS/CFT correspondence in the Gauss-Bonnet gravity

“…Therefore, this value is once conjectured as an universal lower bound for all materials [21][22][23][24][25][26][27][28][29]. However, the later study showed that the higher derivative gravity such as Gauss-Bonnet(GB) gravity can modify the lower bound to a lower value [15,[30][31][32][33][34][35].…”

“…And the case dual to general LoveLock gravity can give further modification to this lower bound [36,37].…”