On the worldsheet theories of strings dual to free large N gauge theories

Abstract

We analyze in detail some properties of the worldsheet of the closed string theories suggested by Gopakumar to be dual to free large N SU(N) gauge theories (with adjoint matter fields). We use Gopakumar's prescription to translate the computation of space-time correlation functions to worldsheet correlation functions for several classes of Feynman diagrams, by explicit computations of Strebel differentials. We compute the worldsheet operator product expansion in several cases and find that it is consistent with general worldsheet conformal field theory expectations. A peculiar property of the construction is that in several cases the resulting worldsheet correlation functions are non-vanishing only on a sub-space of the moduli space (say, for specific relations between vertex positions). Another strange property we find is that for a conformally invariant space-time theory, the mapping to the worldsheet does not preserve the special conformal symmetries, so that the full conformal group is not realized as a global symmetry on the worldsheet (even though it is, by construction, a symmetry of all integrated correlation functions).

arXiv comment60 pages, 17 figures, latex. v2: Added references and a minor correction

References in corpus (43)

• Gauge Theory Correlators from Non-Critical String Theory
• Introduction to string field theory
• Closed String Field Theory: Quantum Action and the BV Master Equation
• Strings in AdS_3 and the SL(2,R) WZW Model. Part 1: The Spectrum
• The Hagedorn Transition, Deconfinement and N=4 SYM Theory
• Strings in AdS_3 and the SL(2,R) WZW Model. Part 2: Euclidean Black Hole
• More Comments on String Theory on AdS_3
• Strings in AdS_3 and the SL(2,R) WZW Model. Part 3: Correlation Functions
• Worldsheet Derivation of a Large N Duality
• On structure constants and fusion rules in the $SL(2,\BC)/SU(2)$ WZNW model
• Little String Theory in a Double Scaling Limit
• Holography for Non-Critical Superstrings
• PP-wave string interactions from perturbative Yang-Mills theory
• Operator product expansion and factorization in the $H_3^{+}$-WZNW model
• On stringy AdS_5 x S^5 and higher spin holography
• Comments on Double Scaled Little String Theory
• From Free Fields to $AdS$
• Free Large N Supersymmetric Yang-Mills Theory as a String Theory
• From Free Fields to $AdS$ -- III
• Bits, Matrices and 1/N
• Three-Point Functions in N=4 SYM Theory at One-Loop
• Structure constants of planar N =4 Yang Mills at one loop
• On the spectrum of AdS/CFT beyond supergravity
• The Mini-Superspace Limit of the SL(2,C)/SU(2)-WZNW Model
• Bit Strings from N=4 Gauge Theory
• Crossing Symmetry in the $H_3^{+}$ WZNW model
• From Free Fields to AdS -- II
• A Worldsheet Description of Planar Yang-Mills Theory
• A Worldsheet Description of Large N_c Quantum Field Theory
• PP-wave String Interactions from String Bit Model
• Construction of bosonic string theory on infinitely curved Anti-de Sitter space
• Off-shell Closed String Amplitudes: Towards a Computation of the Tachyon Potential
• Free Field Theory as a String Theory?
• The Large N Harmonic Oscillator as a String Theory
• Closed Bosonic String Field Theory At Quartic Order
• BT Worldsheet for Supersymmetric Gauge Theories
• From Free Fields to AdS -- Thermal Case
• The Fishnet as Anti-ferromagnetic Phase of Worldsheet Ising Spins
• A Mean Field Approximation to the Worldsheet Model of Planar phi^3 Field Theory
• On the boundary gauge dual of closed tensionless free strings in AdS
• Expansion in Feynman Graphs as Simplicial String Theory
• An Improved Mean Field Approximation on the Worldsheet for Planar phi^3 Theory
• Further Results about Field Theory on the World Sheet and String Formation

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• Cut-and-join operators and N=4 super Yang-Mills
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• Amplitudes in the N=4 SYM from Quantum Geometry of the Momentum Space
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• Triangulated Surfaces in Twistor Space: A Kinematical Set up for Open/Closed String Duality
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• Multi-trace Correlators from Permutations as Moduli Space
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