Regge conformal blocks from the Rindler-AdS black hole and the pole-skipping phenomena. (English) Zbl 1521.83127
Summary: We study a holographic construction of conformal blocks in the Regge limit of four-point scalar correlation functions by using coordinates of the two-sided Rindler-AdS black hole. As a generalization of geodesic Witten diagrams, we construct diagrams with four external scalar fields in the Rindler-AdS black hole by integrating over two half-geodesics between the centers of Penrose diagrams and points at the AdS boundary. We demonstrate that late-time behaviors of the diagrams coincide with the Regge behaviors of conformal blocks. We also point out their relevance with the pole-skipping phenomena by showing that the near-horizon analysis of symmetric traceless fields with any integer spin in the Rindler-AdS black hole can capture the Regge behaviors of conformal blocks.
MSC:
| 83C57 | Black holes |
| 81T35 | Correspondence, duality, holography (AdS/CFT, gauge/gravity, etc.) |
| 81T40 | Two-dimensional field theories, conformal field theories, etc. in quantum mechanics |
| 83C27 | Lattice gravity, Regge calculus and other discrete methods in general relativity and gravitational theory |
| 83E05 | Geometrodynamics and the holographic principle |
| 83C47 | Methods of quantum field theory in general relativity and gravitational theory |
| 83E30 | String and superstring theories in gravitational theory |
Keywords:
gauge-gravity correspondence; AdS-CFT correspondence; holography and condensed matter physics (AdS/CMT)Software:
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