Exciting LLM Geometries

Abstract

We study excitations of LLM geometries. These geometries arise from the backreaction of a condensate of giant gravitons. Excitations of the condensed branes are open strings, which give rise to an emergent Yang-Mills theory at low energy. We study the dynamics of the planar limit of these emergent gauge theories, accumulating evidence that they are planar $\mathcal{N}=4$ super Yang-Mills. There are three observations supporting this conclusion: (i) we argue for an isomorphism between the planar Hilbert space of the original $\mathcal{N}=4$ super Yang-Mills and the planar Hilbert space of the emergent gauge theory, (ii) we argue that the OPE coefficients of the planar limit of the emergent gauge theory vanish and (iii) we argue that the planar spectrum of anomalous dimensions of the emergent gauge theory is that of planar $\mathcal{N}=4$ super Yang-Mills. Despite the fact that the planar limit of the emergent gauge theory is planar $\mathcal{N}=4$ super Yang-Mills, we explain why the emergent gauge theory is not $\mathcal{N}=4$ super Yang-Mills theory.

arXiv comment30 pages plus Appendices

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• Coherent state operators, giant gravitons, and gauge-gravity correspondence
• Coherent state excitations and string-added coherent states in gauge-gravity correspondence
• Non-Perturbative String Theory from AdS/CFT
• Semiclassical SL(2) Strings on LLM backgrounds
• Interior analysis, stretched technique and bubbling geometries
• Three-point Functions in $\mathcal{N}=4$ SYM at Finite $N_c$ and Background Independence
• Oscillating Multiple Giants
• Backgrounds from Tensor Models: A Proposal
• Precision holography of AdS${}_5$ bubbling geometries
• A generalized dominance ordering for 1/2-BPS states
• Multi-trace Correlators from Permutations as Moduli Space