Emergent Threebrane Lattices

Abstract

In this article the anomalous dimension of a class of operators with a bare dimension of O(N) is studied. The operators considered are dual to excited states of a two giant graviton system. In the Yang Mills theory they are described by restricted Schur polynomials, labeled with Young diagrams that have at most two columns. In a certain limit the dilatation operator looks like a lattice version of a second derivative, with the lattice emerging from the Young diagram itself.

28 pages

References in corpus (17)

• Diagonal multi-matrix correlators and BPS operators in N=4 SYM
• Branes, Anti-Branes and Brauer Algebras in Gauge-Gravity duality
• Three-dimensional N=6 SCFT's and their membrane dynamics
• Giant Gravitons - with Strings Attached (III)
• Giant Gravitons - with Strings Attached (II)
• A study of open strings ending on giant gravitons, spin chains and integrability
• Enhanced symmetries of gauge theory and resolving the spectrum of local operators
• Nearing Extremal Intersecting Giants and New Decoupled Sectors in N = 4 SYM
• Schur-Weyl duality as an instrument of Gauge-String duality
• Open Spin Chains in Super Yang-Mills at Higher Loops: Some Potential Problems with Integrability
• Permutations and the Loop
• Dilatation operator and the Super Yang-Mills duals of open strings on AdS Giant Gravitons
• Higher Loop Bethe Ansatz for Open Spin-Chains in AdS/CFT
• Non-holomorphic multi-matrix gauge invariant operators based on Brauer algebra
• Cut-and-join operators and N=4 super Yang-Mills
• Bethe ansatz equations for open spin chains from giant gravitons
• Electrified BPS Giants: BPS configurations on Giant Gravitons with Static Electric Field

Cited by in corpus (27)

• Nonplanar Integrability
• Surprisingly Simple Spectra
• Structure Constants in $\mathcal{N}=4$ SYM at Finite Coupling as Worldsheet $g$-Function
• From Large N Nonplanar Anomalous Dimensions to Open Spring Theory
• Restricted Schur Polynomials for Fermions and integrability in the su(2|3) sector
• Non-planar Anomalous Dimensions in the sl(2) Sector
• Correlation functions and representation bases in free N=4 Super Yang-Mills
• Operators, Correlators and Free Fermions for SO(N) and Sp(N)
• Nonplanar Integrability: Beyond the SU(2) Sector
• Orthogonal Bases of Invariants in Tensor Models
• Invariant Operators, Orthogonal Bases and Correlators in General Tensor Models
• Beyond the Planar Limit in ABJM
• Tensor and Matrix models: a one-night stand or a lifetime romance?
• Integrable Subsectors from Holography
• Relation between large dimension operators and oscillator algebra of Young diagrams
• Emergent Yang-Mills theory
• Negative anomalous dimensions in N=4 SYM
• Subleading corrections to the Double Coset Ansatz preserve integrability
• Nonplanar Integrability and Parity in ABJ Theory
• Novel charges in CFT's
• Anomalous dimensions from boson lattice models
• Non-planar operator mixing by Brauer representations
• Correlation functions of determinant operators in conformal fishnet theory
• Heavy Operators in Superconformal Chern-Simons Theory
• Interacting Emergent Yang-Mills theory
• Large N anomalous dimensions for large operators in Leigh-Strassler deformed SYM
• Counting paths with Schur transitions