Multi-stress tensors and next-to-leading singularities in the Regge limit

Understand

The stress tensor sector of a heavy-heavy-light-light scalar correlator in CFTs with a large central charge and a large gap is defined by the exchange of multi-stress tensor operators.

• The Regge limit of this correlator is determined by the phase shift of a highly energetic particle propagating in a dual black hole background.
• Assuming Einstein gravity in the bulk, the phase shift is known perturbatively to all orders in the ratio of the heavy scaling dimension over the central charge.
• In the CFT, the order counts the number of stress tensors in the multi-stress tensor operator.