From Free Fields to $AdS$

Abstract

Free $\mathcal{N}=4$ Super Yang-Mills theory (in the large $N$ limit) is dual to an, as yet, intractable closed string theory on $Ad{S}_5\times S^5$. We aim to implement open-closed string duality in this system and thereby recast the free field correlation functions as amplitudes in $AdS$. The basic strategy is to implement this duality directly on planar field theory correlation functions in the worldline (or first quantised) formulation. The worldline loops (remnants of the worldsheet holes) close to form tree diagrams. These tree diagrams are then to be manifested as tree amplitudes in $AdS$ by a change of variables on the worldline moduli space (i.e. Schwinger parameter space). Restricting to twist two operators, we are able to carry through this program for two and three point functions. However, it appears that this strategy can be implemented for four and higher point functions as well. An analogy to electrical networks is very useful in this regard.

35 pages, 4 figures; v2: references added

References in corpus (15)

• Hidden Symmetries of the AdS_5 x S^5 Superstring
• Holography in 4D (Super) Higher Spin Theories and a Test via Cubic Scalar Couplings
• A Relation Between Approaches to Integrability in Superconformal Yang-Mills Theory
• On stringy AdS_5 x S^5 and higher spin holography
• Holography of the N=1 Higher-Spin Theory on AdS4
• Closed Strings as Imaginary D-branes
• Large-N Collective Fields and Holography
• Flat Currents in the Classical AdS_5 x S^5 Pure Spinor Superstring
• Open-Closed Duality at Tree Level
• Evaluating the AdS dual of the critical O(N) vector model
• Construction of bosonic string theory on infinitely curved Anti-de Sitter space
• String bits in small radius AdS and weakly coupled N=4 Super Yang-Mills Theory: I
• Scalar Field Corrections to AdS_4 Gravity from Higher Spin Gauge Theory
• The Holographic Dual of a SUSY Vector Model and Tensionless Open Strings
• A String Motivated Approach to the Relativistic Point Particle

Cited by in corpus (98)

• Counting chiral primaries in N=1 d=4 superconformal field theories
• Higher Spin Gauge Theory and Holography: The Three-Point Functions
• The Worldsheet Dual of the Symmetric Product CFT
• AdS_4/CFT_3 Construction from Collective Fields
• A paradigm of open/closed duality: Liouville D-branes and the Kontsevich model
• Higher Spin Symmetry and N=4 SYM
• Higher Spin Superalgebras in any Dimension and their Representations
• On the Frame-Like Formulation of Mixed-Symmetry Massless Fields in (A)dS(d)
• SL(2,Z) Action on Three-Dimensional CFTs and Holography
• From Free Fields to $AdS$ -- III
• Constructing the Cubic Interaction Vertex of Higher Spin Gauge Fields
• Worldsheet correlators in AdS(3)/CFT(2)
• Extremal Correlators and Hurwitz Numbers in Symmetric Product Orbifolds
• Structure constants of planar N =4 Yang Mills at one loop
• Summing over Geometries in String Theory
• Brane Partons and Singleton Strings
• Enhanced symmetries of gauge theory and resolving the spectrum of local operators
• Higher-point conformal blocks and entanglement entropy in heavy states
• SL(2) spin chain and spinning strings on AdS_5xS^5
• From Free Fields to AdS -- II
• Higher Spin Gauge Theories in Any Dimension
• The string/gauge theory correspondence in QCD
• From Matrix Models and quantum fields to Hurwitz space and the absolute Galois group
• Holographic description of quantum field theory
• Simplifying and Extending the AdS_5xS^5 Pure Spinor Formalism
• On the worldsheet theories of strings dual to free large N gauge theories
• Partition Functions for Higher-Spin theories in AdS
• High Energy Scattering in the AdS/CFT Correspondence
• The Worldsheet Dual of Free Super Yang-Mills in 4D
• Towards a string bit formulation of N=4 super Yang-Mills
• Strings from Feynman Graph counting : without large N
• Spin bit models from non-planar N=4 SYM
• From Symmetric Product CFTs to ${\mathrm{AdS}}_3$
• Interactions in Higher-Spin Gravity: a Holographic Perspective
• BRST treatment of zero modes for the worldline formalism in curved space
• Free Field Theory as a String Theory?
• Holographic description of large N gauge theory
• Comments on worldsheet theories dual to free large N gauge theories
• The Large N Harmonic Oscillator as a String Theory
• One-loop Test of Free SU(N) Adjoint Model Holography
• What is the Simplest Gauge-String Duality?
• On a worldsheet dual of the Gaussian matrix model
• Exact Stringy Microstates from Gauge Theories
• On the AdS Higher Spin / O(N) Vector Model Correspondence: degeneracy of the holographic image
• Closed Bosonic String Field Theory at Quintic Order: Five-Tachyon Contact Term and Dilaton Theorem
• Cut-and-join operators and N=4 super Yang-Mills
• Correlators in the Simplest Gauge-String Duality
• From Spacetime to Worldsheet: Four point correlators
• From Free Fields to AdS -- Thermal Case
• Comments on gluon 6-point scattering amplitudes in N=4 SYM at strong coupling
• Holographic Matter : Deconfined String at Criticality
• Complex matrix model duality
• On n-point Amplitudes in N=4 SYM
• The space-time operator product expansion in string theory duals of field theories
• From effective actions to the background geometry
• Disordered vector models: from higher spins to incipient strings
• Open and Closed String Worldsheets from Free Large N Gauge Theories with Adjoint and Fundamental Matter
• c=1 Matrix Models: Equivalences and Open-Closed String Duality
• Strebel Differentials With Integral Lengths And Argyres-Douglas Singularities
• Holographic QCD and magnetic fields
• On gauge/string correspondence and mirror symmetry
• The Hagedorn/Deconfinement Phase Transition in Weakly Coupled Large N Gauge Theories
• Summing planar diagrams
• Giant gravitons in twisted holography
• A 4D-2D equivalence for large-N Yang-Mills theory
• Topological String Correlators from Matrix Models
• Aspects of the N=4 SYM amplitude -- Wilson polygon duality
• Gauge Theories as String Theories: the First Results
• Confined Phase In The Real Time Formalism And The Fate Of The World Behind The Horizon
• One-loop derivation of the Wilson polygon - MHV amplitude duality
• CFT(4) Partition Functions and the Heat Kernel on AdS(5)
• Large N Reductions and Holography
• Scaling Violation and Gauge/String Duality
• Path integrals in curved space and the worldline formalism
• One-Loop Free Energy of Tensionless Type IIB String in AdS${}_5\times$S${}^5$
• Amplitudes in the N=4 SYM from Quantum Geometry of the Momentum Space
• Triangulated Surfaces in Twistor Space: A Kinematical Set up for Open/Closed String Duality
• Note on S-channel factorization in multitrace Berenstein-Maldacena-Nastase correlators
• Planar diagrams in light-cone gauge
• Classical geometry from the tensionless string
• Evidence for Gauge/Gravity Correspondence for D$p$-branes at Weak 't Hooft Coupling
• Quantum Field Theories Coupled to Supergravity: AdS/CFT and Local Couplings
• A Solvable Sector of AdS Theory
• Metal or Insulator? Dirac operator spectrum in holographic QCD
• Spinning Particles in Quantum Mechanics and Quantum Field Theory
• Angular Momentum and Gravimagnetization of the $\mathcal{N}=2$ SYM vacuum
• From random Regge triangulations to open strings
• Free BMN Correlators With More Stringy Modes
• ${\text{AdS}}_3/{\text{CFT}}_2$ at higher genus
• A Scaling Relation, $Z_m$-type Deconfinement Phases and Imaginary Chemical Potentials in Finite Temperature Large-$N$ Gauge Theories
• From Feynman graphs to Witten diagrams
• Multi-trace Correlators from Permutations as Moduli Space
• AdS/CFT correspondence via R-current correlation functions revisited
• Lectures On AdS-CFT At Weak 't Hooft Coupling At Finite Temperature
• On Gluing CFT Correlators to Higher-Spin Amplitudes in AdS
• Boundary Conformal Field Theory and Ribbon Graphs: a tool for open/closed string dualities
• World-Sheets from N=4 Super Yang-Mills
• BCFT and Ribbon Graphs as tools for open/closed string dualities