Correlators Of Operators with a Large R-charge

Abstract

Correlation functions of operators with a conformal dimension of O(N^2) are not well approximated by the planar limit. The non-planar diagrams, which in the bulk spacetime correspond to string loop corrections, are enhanced by huge combinatorial factors. In this article we show how these loop corrections can be resummed. As a typical example of our results, in the half-BPS background of M maximal giant gravitons we find the usual 1/N expansion is replaced by a 1/(M+N) expansion. Further, we find that there is a simple exact relationship between amplitudes computed in the trivial background and amplitudes computed in the background of M maximal giant gravitons. Finally, we also find strong evidence for the BMN-type sectors suggested in arXiv:0801.4457. The decoupling limit of arXiv:0801.4457 captures the decoupled low energy world volume theory of the intersecting giant graviton system and this theory is weakly coupled even when the original N=4 super Yang-Mills theory is strongly coupled.

40 pages, 2 figues; minor changes to presentation

References in corpus (62)

• Gauge Theory Correlators from Non-Critical String Theory
• The Large N Limit of Superconformal Field Theories and Supergravity
• Strings in flat space and pp waves from $\mathcal{N}=4$ Super Yang Mills
• Lecture Notes on Holographic Renormalization
• AdS/CFT Correspondence and Symmetry Breaking
• Bubbling AdS space and 1/2 BPS geometries
• Holographic Renormalization
• Single-top hadroproduction in association with a W boson
• Giant Gravitons in Conformal Field Theory
• How to go with an RG Flow
• Anti De Sitter Space And Holography
• A toy model for the AdS/CFT correspondence
• A New Double-Scaling Limit of N=4 Super Yang-Mills Theory and PP-Wave Strings
• The Quantum Hall Fluid and Non-Commutative Chern Simons Theory
• PP-wave string interactions from perturbative Yang-Mills theory
• Field Theory Tests for Correlators in the AdS/CFT Correspondence
• Bonus Symmetries of N=4 Super-Yang-Mills Correlation Functions via AdS Duality
• Fivebranes from gauge theory
• Exact Correlators of Giant Gravitons from dual N=4 SYM
• The Library of Babel: On the origin of gravitational thermodynamics
• Extremal Correlators in the AdS/CFT Correspondence
• Superstars and Giant Gravitons
• Diagonal multi-matrix correlators and BPS operators in N=4 SYM
• Exact Multi-Matrix Correlators
• Branes, Anti-Branes and Brauer Algebras in Gauge-Gravity duality
• D-branes in Yang-Mills theory and Emergent Gauge Symmetry
• Open Strings from N=4 Super Yang-Mills
• Diagonal free field matrix correlators, global symmetries and giant gravitons
• Kaluza-Klein Holography
• Quantizing Open Spin Chains with Variable Length: an example from Giant Gravitons
• Shape and holography: studies of dual operators to giant gravitons
• Anatomy of bubbling solutions
• Giant Gravitons - with Strings Attached (III)
• Giant Gravitons - with Strings Attached (II)
• Exact Multi-Restricted Schur Polynomial Correlators
• Giant Graviton Correlators from Dual SU(N) super Yang-Mills Theory
• Giant Gravitons - with Strings Attached (I)
• Finite Factorization equations and Sum Rules for BPS correlators in N=4 SYM theory
• 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
• The Library of Babel
• Giant Hedge-Hogs: Spikes on Giant Gravitons
• Geometries from Young Diagrams
• Holographic Coulomb branch vevs
• "Holey Sheets" - Pfaffians and Subdeterminants as D-brane Operators in Large N Gauge Theories
• Extremal and next-to-extremal n-point correlators in four-dimensional SCFT
• Entropy of near-extremal black holes in AdS_5
• Nearing Extremal Intersecting Giants and New Decoupled Sectors in N = 4 SYM
• Correlators of Short Multi-Trace Operators in N=4 Supersymmetric Yang-Mills
• Four-point functions in N=2 superconformal field theories
• LLL vs. LLM: Half BPS Sector of N=4 SYM Equals to Quantum Hall System
• A matrix model for a quantum hall droplet with manifest particle-hole symmetry
• Permutations and the Loop
• Dilatation operator and the Super Yang-Mills duals of open strings on AdS Giant Gravitons
• Correlators in Nontrivial Backgrounds
• Geometry and topology of bubble solutions from gauge theory
• Correlators, Probabilities and Topologies in N=4 SYM
• Restricted Schur Polynomials and Finite N Counting
• Reconstructing 1/2 BPS Space-Time Metrics from Matrix Models and Spin Chains
• Giant Gravitons and a Correspondence Principle
• On Classification Of The Bubbling Geometries
• Semi-classical Probe Strings on Giant Gravitons Backgrounds

Cited by in corpus (16)

• Nonplanar Integrability
• Surprisingly Simple Spectra
• Emergent IR dual 2d CFTs in charged AdS5 black holes
• Correlators in Nontrivial Backgrounds
• Correlation functions and representation bases in free N=4 Super Yang-Mills
• LLM Magnons
• Exact Large R-charge Correlators in ABJM Theory
• Exciting LLM Geometries
• Hints of Integrability Beyond the Planar Limit: Nontrivial Backgrounds
• Strings on Bubbling Geometries
• Correlators of Giant Gravitons from dual ABJ(M) Theory
• Non-Perturbative String Theory from AdS/CFT
• Thresholds of Large N Factorization in CFT4 : Exploring bulk spacetime in AdS5
• Correlations vs connectivity in R-charge
• Finite N Quiver Gauge Theory
• Interior analysis, stretched technique and bubbling geometries