Stress tensor correlators in three dimensional gravity

Abstract

We calculate holographically arbitrary n-point correlators of the boundary stress tensor in threedimensional Einstein gravity with negative or vanishing cosmological constant. We provide explicit expressions up to 5-point (connected) correlators and show consistency with the Galilean conformal field theory Ward identities and recursion relations of correlators, which we derive. This provides a novel check of flat space holography in three dimensions.

Stress tensor correlators of $$\hbox {CCFT}_2$$ CCFT 2 using flat-space holography

“…Moreover, we find the same results as in [13] if M and N in [13] are identified as the T uu and T uφ components of the stress tensor. We have not fixed the constant R in the above calculations, yet.…”

“…The method used to find the stress tensor of CCFT 2 , is taking the appropriate limit of the AdS/CFT computations. On the other hand, in [13] a direct method is invoked which yields the correlators of CCFT 2 . However, the holographic calculations of the correlation functions on the gravity side just performed by using the Chern-Simons formulation of threedimensional flat-space gravity.…”

Entanglement entropy in flat holography

“…The antipodal identification in three dimensions was discussed in [49,50]. See [51][52][53][54][55][56] for more discussions for this flat holography and related topics.…”

Most general AdS3 boundary conditions

“…We gave some examples, but clearly there are more aspects that could be translated, like the variational principle or holographic renormalization. 8 Generalizations to wormhole-like spacetimes along the lines of [40] could also be of interest, as well as the holographic calculation of n-point functions, along the lines of [41].…”