N-Impurity Superstring Spectra Near the pp-Wave Limit

Abstract

The complicated non-linear sigma model that characterizes the first finite-radius curvature correction to the pp-wave limit of IIB superstring theory on AdS_5 x S^5 has been shown to generate energy spectra that perfectly match, to two loops in the modified 't Hooft parameter lambda', finite R-charge corrections to anomalous dimension spectra of large-R N=4 super Yang-Mills theory in the planar limit. This test of the AdS/CFT correspondence has been carried out for the specific cases of two and three string excitations, which are dual to gauge theory R-charge impurities. We generalize this analysis on the string side by directly computing string energy eigenvalues in certain protected sectors of the theory for an arbitrary number of worldsheet excitations with arbitrary mode-number assignments. While our results match all existing gauge theory predictions to two-loop order in lambda', we again observe a mismatch at three loops between string and gauge theory. We find remarkable agreement to all loops in lambda', however, with the near pp-wave limit of a recently proposed Bethe ansatz for the quantized string Hamiltonian in the su(2) sector. Based on earlier two- and three-impurity results, we also infer the full multiplet decomposition of the N-impurity superstring theory with distinct mode excitations to two loops in lambda'.

arXiv commentLaTeX, 24 pages

References in corpus (24)

• Strings in flat space and pp waves from $\mathcal{N}=4$ Super Yang Mills
• The Bethe-Ansatz for N=4 Super Yang-Mills
• Type IIB superstring action in AdS_5 x S^5 background
• The N=4 SYM Integrable Super Spin Chain
• The Dilatation Operator of Conformal N=4 Super Yang-Mills Theory
• Type IIB Green-Schwarz superstring in plane wave Ramond-Ramond background
• Bethe Ansatz for Quantum Strings
• Exactly solvable model of superstring in Ramond-Ramond plane wave background
• How Algebraic Bethe Ansatz works for integrable model
• The Complete One-Loop Dilatation Operator of N=4 Super Yang-Mills Theory
• The su(2|3) Dynamic Spin Chain
• Quantizing String Theory in AdS_5 X S^5: Beyond the pp-Wave
• Precision Spectroscopy of AdS/CFT
• Near Horizon Superspace
• Simplifying superstring action on AdS_5 x S^5
• Holography Beyond the Penrose Limit
• Superstring action in AdS_5 x S^5: kappa symmetry light cone gauge
• Strings in the near plane wave background and AdS/CFT
• Higher Impurity AdS/CFT Correspondence in the Near-BMN Limit
• BMN Operators and Superconformal Symmetry
• Higher loops, integrability and the near BMN limit
• Light cone gauge formulation of IIB supergravity in $Ad{S}_5\times S^5$ background and AdS/CFT correspondence
• Lattice Super Yang-Mills: A Virial Approach to Operator Dimensions
• On the Integrability of String Theory in AdS_5 x S^5

Cited by in corpus (48)

• Long-Range PSU(2,2|4) Bethe Ansaetze for Gauge Theory and Strings
• Giant Magnons
• The Factorized S-Matrix of CFT/AdS
• Foundations of the AdS_5 x S^5 Superstring. Part I
• A Crossing-Symmetric Phase for AdS_5 x S^5 Strings
• The Algebraic Curve of Classical Superstrings on AdS_5xS^5
• Finite-size Effects from Giant Magnons
• Quantum corrections to the string Bethe ansatz
• Gauge-string duality for superconformal deformations of N=4 Super Yang-Mills theory
• Integrable Hamiltonian for Classical Strings on AdS_5 x S^5
• Planar N=4 Gauge Theory and the Hubbard Model
• Worldsheet Scattering in AdS_5 x S^5
• Uniform Light-Cone Gauge for Strings in AdS_5 x S^5: Solving su(1|1) Sector
• Green-Schwarz Strings in TsT-transformed backgrounds
• The AdS5xS5 Superstring in Light-Cone Gauge and its Bethe Equations
• Connecting giant magnons to the pp-wave: An interpolating limit of $Ad{S}_5\times S^5$
• Quantum corrections to spinning strings in AdS(5)xS(5) and Bethe ansatz: a comparative study
• Wrapping interactions and the genus expansion of the 2-point function of composite operators
• The Bethe ansatz approach for factorizable centrally extended S-matrices
• Near BMN dynamics of the AdS(3) x S(3) x S(3) x S(1) superstring
• New Integrable System of 2dim Fermions from Strings on AdS_5 x S^5
• Bethe Ansatz in Stringy Sigma Models
• Long-Range GL(n) Integrable Spin Chains and Plane-Wave Matrix Theory
• 1/J corrections to semiclassical AdS/CFT states from quantum Landau-Lifshitz model
• A Yangian Double for the AdS/CFT Classical r-matrix
• Towards a string bit formulation of N=4 super Yang-Mills
• Fat Magnon
• Integrable twists in AdS/CFT
• Linking Backlund and Monodromy Charges for Strings on AdS_5 x S^5
• 1/J^2 corrections to BMN energies from the quantum long range Landau-Lifshitz model
• Quantum string integrability and AdS/CFT
• Wound and Rotating Strings in AdS_5 x S^5
• Open string integrability and AdS/CFT
• Spin Chain for Quantum Strings
• A two-loop test for the factorised S-matrix of planar N=4
• Classical and quantum integrability in AdS(2)/CFT(1)
• Review of AdS/CFT Integrability, Chapter II.2: Quantum Strings in AdS5xS5
• Rational three-spin string duals and non-anomalous finite size effects
• Integrable Spin Chains on the Conformal Moose
• Finite size corrections and integrability of $\mathcal{N}=2$ SYM and DLCQ strings on a pp-wave
• Bethe Ansatz solutions for highest states in $\mathcal{N}=4$ SYM and AdS/CFT duality
• A review of integrable deformations in AdS/CFT
• Quantum fluctuations of rotating strings in AdS_5 x S^5
• Testing the nested light-cone Bethe equations of the AdS_5 x S^5 superstring
• Integrable theories and generalized graded Maillet algebras
• Quantum Landau-Lifshitz model at four loops: 1/J and 1/J^2 corrections to BMN energies
• Highest states in light-cone $Ad{S}_5\times S^5$ superstring
• The SU(1|2) and SU(2|2) Sectors from Superstrings in AdS5 x S5