On the spectrum of AdS/CFT beyond supergravity

Abstract

We test the spectrum of string theory on AdS_5 x S^5 derived in hep-th/0305052 against that of single-trace gauge invariant operators in free N=4 super Yang-Mills theory. Masses of string excitations at critical tension are derived by extrapolating plane-wave frequencies at g_{YM}=0 down to finite J. On the SYM side, we present a systematic description of the spectrum of single-trace operators and its reduction to PSU(2,2|4) superconformal primaries via a refined Eratostenes' supersieve. We perform the comparison of the resulting SYM/string spectra of charges and multiplicities order by order in the conformal dimension Δup to Δ=10 and find perfect agreement. Interestingly, the SYM/string massive spectrum exhibits a hidden symmetry structure larger than expected, with bosonic subgroup SO(10,2) and thirty-two supercharges.

28 pages, LaTeX2e

References in corpus (6)

• A Relation Between Approaches to Integrability in Superconformal Yang-Mills Theory
• Precision Spectroscopy of AdS/CFT
• SL(2,Z) Action on Three-Dimensional CFTs and Holography
• On the covariant quantization of tensionless bosonic strings in AdS spacetime
• On the Integrability of large N Plane-Wave Matrix Theory
• Spacetime Virasoro algebra from strings on zero radius AdS_3

Cited by in corpus (67)

• An Index for 4 dimensional Super Conformal Theories
• Higher Spin Gauge Theory and Holography: The Three-Point Functions
• The Dilatation Operator of N=4 Super Yang-Mills Theory and Integrability
• Higher Spins & Strings
• E7(7) constraints on counterterms in N=8 supergravity
• Higher spins in AdS_5 at one loop: vacuum energy, boundary conformal anomalies and AdS/CFT
• Current Exchanges and Unconstrained Higher Spins
• Higher Spin Symmetry and N=4 SYM
• Constructing the Cubic Interaction Vertex of Higher Spin Gauge Fields
• Partition Functions and Casimir Energies in Higher Spin AdS_{d+1}/CFT_d
• Structure constants of planar N =4 Yang Mills at one loop
• Brane Partons and Singleton Strings
• Quantum strings in AdS_5 x S^5: strong-coupling corrections to dimension of Konishi operator
• Higher-Spin Gauge Fields Interacting with Scalars: The Lagrangian Cubic Vertex
• SL(2) spin chain and spinning strings on AdS_5xS^5
• N=4 Superconformal Characters and Partition Functions
• Semiclassical string computation of strong-coupling corrections to dimensions of operators in Konishi multiplet
• One-Loop QCD Spin Chain and its Spectrum
• From Free Fields to AdS -- II
• More on La Grande Bouffe: towards higher spin symmetry breaking in AdS
• On Lagrangian formulation of Higher Spin Theories on AdS
• On the tensionless limit of gauged WZW models
• Twistor Superstring in 2T-Physics
• The String Dual to Free $\mathcal{N}=4$ Super Yang-Mills
• Mixed-symmetry massive fields in AdS(5)
• On the worldsheet theories of strings dual to free large N gauge theories
• Towards a string bit formulation of N=4 super Yang-Mills
• On Higher-Spin Points and Infinite Distances in Conformal Manifolds
• Spin bit models from non-planar N=4 SYM
• Interactions in Higher-Spin Gravity: a Holographic Perspective
• Comments on worldsheet theories dual to free large N gauge theories
• Holographic three-point functions for short operators
• One-loop Test of Free SU(N) Adjoint Model Holography
• Exact computation of one-loop correction to energy of pulsating strings in AdS_5 x S^5
• The full spectrum of AdS5/CFT4 I: Representation theory and one-loop Q-system
• Higher Spins and Stringy AdS5xS5
• Current Algebra of the Pure Spinor Superstring in AdS(5) x S(5)
• Computing Three-Point Functions for Short Operators
• Spin Chain for Quantum Strings
• From Spacetime to Worldsheet: Four point correlators
• The Spectrum of Yang Mills on a Sphere
• From Free Fields to AdS -- Thermal Case
• Partition Functions of Pure Spinors
• On stable higher spin states in Heterotic String Theories
• On the Holography of Free Yang-Mills
• String amplitudes in the Hpp-wave limit of AdS3xS3
• Superstring sigma models from spin chains: the SU(1,1|1) case
• Higher spin symmetry (breaking) in N=4 SYM theory and holography
• N=2 Moduli of AdS4 vacua: A fine-print study
• AdS/CFT Correspondence Beyond its Supergravity Approximation
• "Short" spinning strings and structure of quantum AdS_5 x S^5 spectrum
• Precision Spectroscopy and Higher Spin symmetry in the ABJM model
• Characters of the Positive Energy UIRs of D=4 Conformal Supersymmetry
• Higher spin holography for SYM in d dimensions
• Wess-Zumino terms for AdS D-branes
• On the spectrum and structure constants of short operators in N=4 SYM at strong coupling
• Two-Loop Spectroscopy of Short ABJM Operators
• On twist-two operators in N=4 SYM
• A Note on Vectorial AdS${}_5$/CFT${}_4$ Duality for Spin-$j$ Boundary Theory
• Quite a Character: The Spectrum of Yang-Mills on S^3
• A CFT Distance Conjecture
• On the fermionic Grande Bouffe: more on higher spin symmetry breaking in AdS/CFT
• Hidden sectors of Chern-Simons Matter theories and Exact Holography
• One-Loop Free Energy of Tensionless Type IIB String in AdS${}_5\times$S${}^5$
• Supersymmetry and Combinatorics
• Massive higher spins and holography
• Dilatation operator or Hamiltonian?