From Free Fields to $AdS$ -- III

Abstract

In previous work we have shown that large $N$ field theory amplitudes, in Schwinger parametrised form, can be organised into integrals over the stringy moduli space ${\mathcal{M}}_{g,n}\times R_{+}^n$. Here we flesh this out into a concrete implementation of open-closed string duality. In particular, we propose that the closed string worldsheet is reconstructed from the unique Strebel quadratic differential that can be associated to (the dual of) a field theory skeleton graph. We are led, in the process, to identify the inverse Schwinger proper times ($\s_i={1\over \t_i}$) with the lengths of edges of the critical graph of the Strebel differential. Kontsevich's matrix model derivation of the intersection numbers in moduli space provides a concrete example of this identification. It also exhibits how closed string correlators very naturally emerge from the Schwinger parameter integrals. Finally, to illustrate the utility of our approach to open-closed string duality, we outline a method by which a worldsheet OPE can be directly extracted from the field theory expressions. Limits of the Strebel differential for the four punctured sphere play a key role.

30 pages, 6 figures, harvmac; v2: references added

References in corpus (12)

• Exact vs. Semiclassical Target Space of the Minimal String
• Structure constants of planar N =4 Yang Mills at one loop
• Strebel differentials on stable curves and Kontsevich's proof of Witten's conjecture
• String bits in small radius AdS and weakly coupled N=4 Super Yang-Mills Theory: I
• Free Field Theory as a String Theory?
• Topological Matrix Models, Liouville Matrix Model and c=1 String Theory
• Closed Bosonic String Field Theory At Quartic Order
• Testing Closed String Field Theory with Marginal Fields
• Open/Closed String Duality for Topological Gravity with Matter
• Lightcone Quantization of String Theory Duals of Free Field Theories
• From effective actions to the background geometry
• Expansion in Feynman Graphs as Simplicial String Theory

Cited by in corpus (75)

• Tachyon Dynamics in Open String Theory
• Higher Spin Gauge Theory and Holography: The Three-Point Functions
• The Worldsheet Dual of the Symmetric Product CFT
• Deriving the ${\text{AdS}}_3/{\text{CFT}}_2$ Correspondence
• Diagrams for Symmetric Product Orbifolds
• 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
• Higher-point conformal blocks and entanglement entropy in heavy states
• SL(2) spin chain and spinning strings on AdS_5xS^5
• Holographic description of quantum field theory
• The String Dual to Free $\mathcal{N}=4$ Super Yang-Mills
• Partition Functions for Higher-Spin theories in AdS
• On the worldsheet theories of strings dual to free large N gauge theories
• High Energy Scattering in the AdS/CFT Correspondence
• Towards a string bit formulation of N=4 super Yang-Mills
• The Worldsheet Dual of Free Super Yang-Mills in 4D
• Strings from Feynman Graph counting : without large N
• From Symmetric Product CFTs to ${\mathrm{AdS}}_3$
• Interactions in Higher-Spin Gravity: a Holographic Perspective
• Free Field Theory as a String Theory?
• Comments on worldsheet theories dual to free large N gauge theories
• Holographic description of large N gauge 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
• 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
• Exact Stringy Microstates from Gauge Theories
• Correlators in the Simplest Gauge-String Duality
• Cut-and-join operators and N=4 super Yang-Mills
• 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
• Bootstrapping closed string field theory
• Complex matrix model duality
• The space-time operator product expansion in string theory duals of field theories
• From effective actions to the background geometry
• Strebel Differentials With Integral Lengths And Argyres-Douglas Singularities
• c=1 Matrix Models: Equivalences and Open-Closed String Duality
• Open and Closed String Worldsheets from Free Large N Gauge Theories with Adjoint and Fundamental Matter
• On gauge/string correspondence and mirror symmetry
• Twistor Coverings and Feynman Diagrams
• Giant gravitons in twisted holography
• Topological String Correlators from Matrix Models
• String vertices for the large $N$ limit
• Confined Phase In The Real Time Formalism And The Fate Of The World Behind The Horizon
• Large N Reductions and Holography
• Characterizing 4-string contact interaction using machine learning
• Path integrals in curved space and the worldline formalism
• One-Loop Free Energy of Tensionless Type IIB String in AdS${}_5\times$S${}^5$
• CFT(4) Partition Functions and the Heat Kernel on AdS(5)
• Amplitudes in the N=4 SYM from Quantum Geometry of the Momentum Space
• One-loop derivation of the Wilson polygon - MHV amplitude duality
• Scaling Violation and Gauge/String Duality
• Triangulated Surfaces in Twistor Space: A Kinematical Set up for Open/Closed String Duality
• Evidence for Gauge/Gravity Correspondence for D$p$-branes at Weak 't Hooft Coupling
• Classical geometry from the tensionless string
• Note on S-channel factorization in multitrace Berenstein-Maldacena-Nastase correlators
• A Solvable Sector of AdS Theory
• Quantum Field Theories Coupled to Supergravity: AdS/CFT and Local Couplings
• From Hurwitz numbers to Feynman diagrams: counting rooted trees in log gravity
• ${\text{AdS}}_3/{\text{CFT}}_2$ at higher genus
• From random Regge triangulations to open strings
• Scattering and Strebel graphs
• From Feynman graphs to Witten diagrams
• AdS/CFT correspondence via R-current correlation functions revisited
• Lectures On AdS-CFT At Weak 't Hooft Coupling At Finite Temperature
• Boundary Conformal Field Theory and Ribbon Graphs: a tool for open/closed string dualities
• On Gluing CFT Correlators to Higher-Spin Amplitudes in AdS
• Multi-trace Correlators from Permutations as Moduli Space
• BCFT and Ribbon Graphs as tools for open/closed string dualities