Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Eikonal Approximation in AdS/CFT: From Shock Waves to Four-Point
  Functions   We initiate a program to generalize the standard eikonal approximation to
compute amplitudes in Anti-de Sitter spacetimes. Inspired by the shock wave
derivation of the eikonal amplitude in flat space, we study the two-point
function E ~ < O_1 O_1 >_{shock} in the presence of a shock wave in Anti-de
Sitter, where O_1 is a scalar primary operator in the dual conformal field
theory. At tree level in the gravitational coupling, we relate the shock
two-point function E to the discontinuity across a kinematical branch cut of
the conformal field theory four-point function A ~ < O_1 O_2 O_1 O_2 >, where
O_2 creates the shock geometry in Anti-de Sitter. Finally, we extend the above
results by computing E in the presence of shock waves along the horizon of
Schwarzschild BTZ black holes. This work gives new tools for the study of
Planckian physics in Anti-de Sitter spacetimes.

29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
2
The categories of this paper are: math
17
The categories of this paper are: q-fin