Worldsheet spectrum in AdS(4)/CFT(3) correspondence

Abstract

The AdS(4)/CFT(3) duality is a new example of an integrable and exactly solvable AdS/CFT system. There is, however, a puzzling mismatch between the number of degrees of freedom used in the exact solution (4B+4F scattering states) and 8B+8F transverse oscillation modes of critical superstring theory. We offer a resolution of this puzzle by arguing that half of the string modes dissolve in the continuum of two-particle states once alpha' corrections are taken into account. We also check that the conjectured exact S-matrix of AdS(4)/CFT(3) agrees with the tree-level worldsheet calculation.

19 pages, 2 figures; v2: misprints in (2.3), (2.11) and (A.1) corrected, a reference added; v3: misprints in (B.6), (B.9) and (B.12) corrected; v4: footnote 4 added

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• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Fractional M2-branes
• Green-Schwarz action for Type IIA strings on $Ad{S}_4\times C{P}^3$
• Superstrings on AdS_4 x CP^3 as a Coset Sigma-model
• Finite-size Effects from Giant Magnons
• The Bethe ansatz for superconformal Chern-Simons
• The SU(2) x SU(2) sector in the string dual of N=6 superconformal Chern-Simons theory
• The all loop AdS4/CFT3 Bethe ansatz
• On Type IIA Penrose Limit and N=6 Chern-Simons Theories
• On the Singularities of the Magnon S-matrix
• N=6 super Chern-Simons theory S-matrix and all-loop Bethe ansatz equations
• Quantum spinning strings in AdS_4 x CP^3: testing the Bethe Ansatz proposal
• Semiclassical Quantization of Spinning Strings in AdS_4 x CP^3
• Spinning strings at one-loop in AdS_4 x P^3
• The complete AdS(4) x CP(3) superspace for the type IIA superstring and D-branes
• The AdS4/CFT3 algebraic curve
• Integrable Spin Chain in Superconformal Chern-Simons Theory
• Two loop integrability for Chern-Simons theories with N=6 supersymmetry
• Finite-size corrections in the SU(2) x SU(2) sector of type IIA string theory on AdS_4 x CP^3
• Complete 1-loop test of AdS/CFT
• AdS4/CFT3 at One Loop
• Neumann-Rosochatius integrable system for strings on AdS_4 x CP^3
• Integrable Spin Chain of Superconformal U(M)xU(N) Chern-Simons Theory
• Spiky Strings on AdS(4) X CP**3
• Finite size giant magnons in the SU(2) x SU(2) sector of AdS_4 x CP^3
• The AdS(4) x CP(3) string and its Bethe equations in the near plane wave limit
• Two-loop test of the N=6 Chern-Simons theory S-matrix
• Giant Magnon and Spike Solutions with Two Spins in AdS4xCP3
• An alternative S-matrix for N=6 Chern-Simons theory ?

Cited by in corpus (48)

• Integrability and the AdS(3)/CFT(2) correspondence
• An Operator Product Expansion for Polygonal null Wilson Loops
• Review of AdS/CFT Integrability, Chapter IV.3: N=6 Chern-Simons and Strings on AdS4xCP3
• Classical integrability and quantum aspects of the AdS(3) x S(3) x S(3) x S(1) superstring
• Symmetries of Tree-level Scattering Amplitudes in N=6 Superconformal Chern-Simons Theory
• Exciting the GKP string at any coupling
• Simplifying superstring and D-brane actions in AdS(4) x CP(3) superbackground
• Worldsheet scattering in AdS(3)/CFT(2)
• Near BMN dynamics of the AdS(3) x S(3) x S(3) x S(1) superstring
• String instanton in AdS(4)xCP(3)
• Y-system, TBA and Quasi-Classical Strings in AdS4 x CP3
• Two-dimensional S-matrices from unitarity cuts
• Double Wick rotating Green-Schwarz strings
• Comment on Strings in AdS3 x S3 x S3 x S1 at One Loop
• Quantum Strings and the AdS4/CFT3 Interpolating Function
• $T\bar{T}$ deformations as TsT transformations
• Asymptotic Bethe Ansatz on the GKP vacuum as a defect spin chain: scattering, particles and minimal area Wilson loops
• Two-loop cusp anomaly in ABJM at strong coupling
• The complete one-loop BMN S-matrix in AdS(3) x S(3) x T(4)
• Generalized Dynamical Spin Chain and 4-Loop Integrability in N=6 Superconformal Chern-Simons Theory
• Dyonic Giant Magnons in CP^3: Strings and Curves at Finite J
• One-Loop Corrections to Type IIA String Theory in AdS4 x CP3
• Generalized unitarity and the worldsheet S matrix in AdS_n x S^n x M^(10-2n)
• AdS_4 x CP^3 superstring in the light-cone gauge
• On correlation functions of BPS operators in $3d$ $\mathcal{N}=6$ superconformal theories
• The AdS(n) x S(n) x T(10-2n) BMN string at two loops
• A note on dual giant gravitons in $Ad{S}_4\times {\mathbb{CP}}^3$
• Finite-size corrections for quantum strings on AdS_4 x CP^3
• Light-cone gauge Hamiltonian for AdS_4 x CP^3 superstring
• Full Lagrangian and Hamiltonian for quantum strings on AdS_4 x CP^3 in a near plane wave limit
• Eliminating ambiguities for quantum corrections to strings moving in $Ad{S}_4\times {\mathbb{CP}}^3$
• Classical and quantum integrability in AdS(2)/CFT(1)
• Integrability of N=6 Chern-Simons Theory at Six Loops and Beyond
• Quantum dispersion relations for excitations of long folded spinning superstring in AdS_5 x S^5
• Classifying integrable symmetric space strings via factorized scattering
• Strings in AdS_4 x CP^3: finite size spectrum vs. Bethe Ansatz
• An improved AFS phase for AdS3 string integrability
• On the worldsheet theory of the type IIA AdS(4) x CP(3) superstring
• On string integrability. A journey through the two-dimensional hidden symmetries in the AdS/CFT dualities
• Quantum finite-size effects for dyonic magnons in the AdS_4 x CP^3
• Scattering of Giant Magnons in CP^3
• Peculiarities of String Theory on AdS(4) x CP(3)
• Fine Structure of String Spectrum in AdS(5)xS(5)
• Off-shell symmetry algebra of the AdS_4 x CP^3 superstring
• The twisted story of worldsheet scattering in $\eta$-deformed $Ad{S}_5\times S^5$
• On the absence of reflection in AdS4/CFT3
• Spectral analysis of polynomial potentials and its relation with ABJ/M-type theories
• Real and Virtual Bound States in Lüscher Corrections for CP3 Magnons