Precision Spectroscopy and Higher Spin symmetry in the ABJM model

TL;DR

This paper explores the spectrum of supergravity compactifications on S^7/Z_k, revealing connections to higher spin symmetries and monopole operators in the dual Chern-Simons theory, with implications for flux vacua and instantons.

Contribution

It provides a detailed group theory analysis of Kaluza-Klein spectra, identifying marginal deformations and higher spin symmetry enhancements in the ABJM model.

Findings

Identification of marginal deformations and instanton-coupled fields.

Demonstration of higher spin symmetry enhancement at zero 't Hooft coupling.

Analysis of charged states dual to monopole operators.

Abstract

We revisit Kaluza-Klein compactification of 11-d supergravity on S^7/Z_k using group theory techniques that may find application in other flux vacua with internal coset spaces. Among the SO(2) neutral states, we identify marginal deformations and fields that couple to the recently discussed world-sheet instanton of Type IIA on CP^3. We also discuss charged states, dual to monopole operators, and the Z_k projection of the Osp(4|8) singleton and its tensor products. In particular, we show that the doubleton spectrum may account for N=6 higher spin symmetry enhancement in the limit of vanishing 't Hooft coupling in the boundary Chern-Simons theory.