AdS4/CFT3 at One Loop

Abstract

I consider semi-classical type IIA strings rotating in the AdS4 part of AdS4 X CP3. The one loop sigma model corrections to this classical solution are used to compute the energy shift, and the result is found to be E-S=f(lambda) ln S with f(lambda)= sqrt{2 lambda} - 5 ln 2 /2 pi + O (1/sqrt{lambda}). Even though the functional forms match, the actual numerical value of this one loop string result differs from the result obtained on the integrable N=6 Chern-Simons (ABJM) theory side.

v2,3: 16 pages, refs added, grammar fixed, published version; v4: minor corrections to the published version; v5,6: more refs

Cited by in corpus (79)

• Three-dimensional N=6 SCFT's and their membrane dynamics
• Review of AdS/CFT Integrability, Chapter IV.3: N=6 Chern-Simons and Strings on AdS4xCP3
• Anomalous radius shift in AdS(4)/CFT(3)
• Classical integrability and quantum aspects of the AdS(3) x S(3) x S(3) x S(1) superstring
• Two loop integrability for Chern-Simons theories with N=6 supersymmetry
• Simplifying superstring and D-brane actions in AdS(4) x CP(3) superbackground
• Near BMN dynamics of the AdS(3) x S(3) x S(3) x S(1) superstring
• Dual Superconformal Symmetry of N=6 Chern-Simons Theory
• Worldsheet spectrum in AdS(4)/CFT(3) correspondence
• ABJM models in N=3 harmonic superspace
• Comment on the Scaling Function in AdS4 x CP3
• Y-system, TBA and Quasi-Classical Strings in AdS4 x CP3
• Dualities for Loop Amplitudes of N=6 Chern-Simons Matter Theory
• Superspace calculation of the four-loop spectrum in N=6 supersymmetric Chern-Simons theories
• Two-loop Integrability of Planar N=6 Superconformal Chern-Simons Theory
• Generalized cusp in AdS_4 x CP^3 and more one-loop results from semiclassical strings
• Scattering Amplitudes/Wilson Loop Duality In ABJM Theory
• One Loop Amplitudes In ABJM
• Comment on Strings in AdS3 x S3 x S3 x S1 at One Loop
• Quantum Strings and the AdS4/CFT3 Interpolating Function
• On Superconformal Characters and Partition Functions in Three Dimensions
• Two-loop cusp anomaly in ABJM at strong coupling
• A note on amplitudes in N=6 superconformal Chern-Simons theory
• Finite size giant magnons in the SU(2) x SU(2) sector of AdS_4 x CP^3
• Scattering in ABJ theories
• Generalized Dynamical Spin Chain and 4-Loop Integrability in N=6 Superconformal Chern-Simons Theory
• Non-planar ABJM Theory and Integrability
• One-Loop Corrections to Type IIA String Theory in AdS4 x CP3
• AdS_4 x CP^3 superstring in the light-cone gauge
• A note on dual giant gravitons in $Ad{S}_4\times {\mathbb{CP}}^3$
• The AdS(4) x CP(3) string and its Bethe equations in the near plane wave limit
• Finite-size corrections for quantum strings on AdS_4 x CP^3
• One-loop corrections to holographic Wilson loop in AdS4xCP3
• Giant Magnons in AdS4 x CP3: Embeddings, Charges and a Hamiltonian
• Full Lagrangian and Hamiltonian for quantum strings on AdS_4 x CP^3 in a near plane wave limit
• A note on the reduction of the AdS4 x CP3 string sigma model
• Two-loop test of the N=6 Chern-Simons theory S-matrix
• The generalised scaling function: a systematic study
• Giant Magnons on CP^3 by Dressing Method
• QCD properties of twist operators in the N=6 Chern-Simons theory
• Dressed Giant Magnons on CP^3
• Finite-size Effect of the Dyonic Giant Magnons in N=6 super Chern-Simons Theory
• The worldsheet low-energy limit of the AdS_4 x CP^3 superstring
• Classical and quantum integrability in AdS(2)/CFT(1)
• Integrability of N=6 Chern-Simons Theory at Six Loops and Beyond
• Weakly coupled N=4 Super Yang-Mills and N=6 Chern-Simons theories from u(2|2) Yangian symmetry
• Finite-Size Corrections of the ${\mathbb{CP}}^3$ Giant Magnons: the Lüscher terms
• Strings in AdS_4 x CP^3: finite size spectrum vs. Bethe Ansatz
• On the Fermionic Frequencies of Circular Strings
• AdS_4 x CP^3 superstring and D=3 N=6 superconformal symmetry
• On the worldsheet theory of the type IIA AdS(4) x CP(3) superstring
• Factorized Tree-level Scattering in AdS_4 x CP^3
• M2-brane Flows and the Chern-Simons Level
• ABJM Dibaryon Spectroscopy
• Lessons from giant gravitons on $Ad{S}_5\times T^{1,1}$
• Quantum finite-size effects for dyonic magnons in the AdS_4 x CP^3
• The Morphology of N=6 Chern-Simons Theory
• An alternative S-matrix for N=6 Chern-Simons theory ?
• Scattering of Giant Magnons in CP^3
• Symplectic Three-Algebra and N=6, Sp(2N) X U(1) Superconformal Chern-Simons-Matter Theory
• Spiky Strings in AdS(4) X CP**3 with Neveu-Schwarz Flux
• Near Flat Space limit of strings on AdS_4 x CP^3
• Note on Integrability of Marginally Deformed ABJ(M) Theories
• Peculiarities of String Theory on AdS(4) x CP(3)
• The Leading Order Dressing Phase in ABJM Theory
• Giant Magnons in Symmetric Spaces: Explicit N-soliton solutions for CP^n, SU(n) and S^n
• Spin chain for the deformed ABJM theory
• Rotating Strings in AdS(4) X CP(3) with B-NS holonomy
• Semiclassical strings in AdS(3) X S^2
• The virtual scaling function of twist operators in the N=6 Chern-Simons theory
• Correlation functions of the ABJM model
• Wrapping effects in supersymmetric gauge theories
• Giant Spinons
• Fermionic reductions of the AdS4 x CP3 superstring
• Semiclassical energy of the $Ad{S}_4\times {\mathbb{CP}}^3$ folded string
• Multi-Spin Strings in AdS_4*CP^3 and its β-deformation
• Generalized BIons in M-theory
• Membranes, Strings and Integrability
• Large J expansion in ABJM theory revisited