Emergent geometry in N=6 Chern-Simons-matter theory

TL;DR

This paper explores how a specific superconformal Chern-Simons theory's dual geometry emerges from eigenvalue distributions, confirming the holographic correspondence through energy calculations of excitations.

Contribution

It demonstrates the dynamic emergence of the orbifolded sphere geometry from eigenvalue distributions in N=6 superconformal Chern-Simons theory and verifies this with energy computations of giant magnons.

Findings

Emergence of orbifolded sphere S^7/Z_k from eigenvalue distributions

Agreement of excitation energies with giant magnon dispersion relations

Validation of the duality through strong coupling analysis

Abstract

We investigate a strong coupling expansion of N=6 superconformal Chern-Simons theory obtained from the semiclassical analysis of low energy, effective degrees of freedom given by the eigenvalues of a certain matrix model. We show how the orbifolded sphere S^7/Z_k of the dual geometry emerges dynamically from the distribution of the eigenvalues. As a test of this approach we compute the energy of off-diagonal excitations, finding perfect agreement with the dispersion relation of giant magnons.