Giant Gravitons - with Strings Attached (III)

Abstract

We develop techniques to compute the one-loop anomalous dimensions of operators in the $\mathcal{N}=4$ super Yang-Mills theory that are dual to open strings ending on boundstates of sphere giant gravitons. Our results, which are applicable to excitations involving an arbitrary number of open strings, generalize the single string results of hep-th/0701067. The open strings we consider carry angular momentum on an S${}^3$ embedded in the S${}^5$ of the AdS${}_5\times$S${}^5$ background. The problem of computing the one loop anomalous dimensions is replaced with the problem of diagonalizing an interacting Cuntz oscillator Hamiltonian. Our Cuntz oscillator dynamics illustrates how the Chan-Paton factors for open strings propagating on multiple branes can arise dynamically.

66 pages; v2: improved presentation

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• From Schurs to Giants in ABJ(M)
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• Multi-matrix models and Noncommutative Frobenius algebras obtained from symmetric groups and Brauer algebras
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• CFT4 as SO(4,2)-invariant TFT2
• Correlators of Giant Gravitons from dual ABJ(M) Theory
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• Inelastic Magnon Scattering
• Graph duality as an instrument of Gauge-String correspondence
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• Gauge Invariants and Correlators in Flavoured Quiver Gauge Theories
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• Non-planar operator mixing by Brauer representations
• Excited States of Open Strings From $\mathcal{N}=4$ SYM
• Matrix and tensor witnesses of hidden symmetry algebras
• Interacting Double Coset Magnons
• Rotating Restricted Schur Polynomials
• Eigenvalue Dynamics for Multimatrix Models
• Large N anomalous dimensions for large operators in Leigh-Strassler deformed SYM