Interacting Giant Gravitons from Spin Matrix Theory

Abstract

Using the non-abelian DBI action we find an effective matrix model that describes the dynamics of weakly interacting giant gravitons wrapped on three-spheres in the AdS part of AdS_5 x S^5 at high energies with two angular momenta on the S^5. In parallel we consider the limit of \CN=4 super Yang-Mills theory near a certain unitarity bound where it reduces to the quantum mechanical theory called SU(2) Spin Matrix Theory. We show that the exact same matrix model that describes the giant gravitons on the string theory side also provides the effective description in the strong coupling and large energy limit of the Spin Matrix Theory. Thus, we are able to match non-supersymmetric dynamics of D-branes on AdS_5 x S^5 to a finite-N regime in \CN=4 super Yang-Mills theory near a unitarity bound.

7 pages

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• Aspects of Non-Relativistic Quantum Field Theories
• Nonrelativistic near-BPS corners of $\mathcal{N}=4$ super-Yang-Mills with $SU(1,1)$ symmetry
• Nonrelativistic Corners of $\mathcal{N}=4$ Supersymmetric Yang--Mills Theory
• The Panorama of Spin Matrix Theory
• Spin Matrix Theory in near $\frac{1}{8}$-BPS corners of $\mathcal{N}=4$ super-Yang-Mills
• Coherent state operators, giant gravitons, and gauge-gravity correspondence
• Negative specific heat from non-planar interactions and small black holes in AdS/CFT
• Coherent state excitations and string-added coherent states in gauge-gravity correspondence
• Non-Relativistic Holography from AdS${}_5$/CFT${}_4$
• Constructing Non-Relativistic AdS${}_5$/CFT${}_4$ Holography
• A Carroll Limit of AdS/CFT: A Triality with Flat Space Holography?
• Interior analysis, stretched technique and bubbling geometries
• Nonrelativistic spinning strings
• Notes on su$(1,2)\oplus$u$(1)$ Chern-Simons theory and Torsional Newton-Cartan gravity
• Symmetry structure of the interactions in near-BPS corners of $\mathcal{N}=4$ super-Yang-Mills