[NTU-NCTS String Seminar] Holographic correlators and their (hidden) symmetries

  • Event Date: 2023-03-10
  • High energy theory
  • Speaker: Dr. Michele Santagata, NTU  /  Host: Profs. Yu-tin Huang & Pei-Ming Ho (NTU)
    Place: Rm. 815, Dept. of Physics, NTU

Title: [NTU-NCTS String Seminar] Holographic correlators and their (hidden) symmetries
Speaker: Dr. Michele Santagata, NTU
Time: Mar. 10, 2023 (Fri.) 14:30-15:30
Venue: Rm. 815, Dept. of Physics, NTU

In this talk I will discuss some recent developments in computing holographic correlators at large N. I will focus on the four-point function of half-BPS operators in two SCFTs, namely N=4 SYM in 4d and N=2 SYM in 4d with flavour group G_F. Via AdS/CFT, these are dual to graviton scattering in AdS_5\times S^5 and gluon scattering in AdS_5\times S^3 background, respectively.
Despite the apparent complexity, the tree-level dynamics of both theories is actually extremely simple, due to the existence of a hidden conformal symmetry controlling the dynamics of these observables. 
The results are better cast in terms of a generalised Mellin transform which makes manifest many properties of the associated AdS amplitudes, such as large p limit, double-copy, colour-kinematic and BCJ relations.