Dr. Shota Komatsu (CERN)

Title: Structure Constants of Giant Gravitons in ABJM

Abstract:

I will discuss the integrability-based approach to structure constants of two sub-determinant operators and a single-trace operator in ABJM theory. In the first part of the talk, I will explain how to compute it at weak coupling by mapping it to a computation in a spin chain; more precisely to an overlap between a Bethe eigenstate and a matrix product state. This also provides a first example of integrable matrix product states in an alternating spin chain. In the second part of the talk, I will explain the holographic computation using D-branes called giant gravitons. In particular, I will point out two important effects (the orbit average and the wave function) which were missed in the previous analysis of holographic correlation functions of giant gravitons. Time permitting, I will mention a result at finite coupling based on integrable bootstrap.