One-Loop Corrections to Type IIA String Theory in AdS4 x CP3

Abstract

We study various methods for computing the one-loop correction to the energy of classical solutions to type IIA string theory in AdS4 x CP3. This involves computing the spectrum of fluctuations and then adding up the fluctuation frequencies. We focus on two classical solutions with support in CP3: a rotating point-particle and a circular spinning string with two angular momenta equal to J. For each of these solutions, we compute the spectrum of fluctuations using two techniques, known as the algebraic curve approach and the world-sheet approach. If we use the same prescription for adding fluctuation frequencies that was used for type IIB string theory in AdS5 x S5, then we find that the world-sheet spectrum gives convergent one-loop corrections but the algebraic curve spectrum gives divergent ones. On the other hand, we find a new summation prescription which gives finite results when applied to both the algebraic curve and world-sheet spectra. Naively, this gives three predictions for the one-loop correction to the spinning string energy (one from the algebraic curve and two from the world-sheet), however we find that in the large-j limit (where j=J/sqrt(2pi^2 lambda)), the j^(-2n) terms in all three cases agree. We therefore obtain a unique prediction for the one-loop correction to the spinning string energy.

58 pages, 3 figures; v3: minor changes and references added, published in JHEP

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Cited by in corpus (25)

• 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
• 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
• Generalized cusp in AdS_4 x CP^3 and more one-loop results from semiclassical strings
• Comment on Strings in AdS3 x S3 x S3 x S1 at One Loop
• Quantum Strings and the AdS4/CFT3 Interpolating Function
• Two-loop cusp anomaly in ABJM at strong coupling
• Finite-size corrections for quantum strings on AdS_4 x CP^3
• The AdS3 x S3 x S3 x S1 Hernandez-Lopez Phases: a Semiclassical Derivation
• One-loop corrections to holographic Wilson loop in AdS4xCP3
• 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 $Ad{S}_4\times {\mathbb{CP}}^3$
• Strings in AdS_4 x CP^3: finite size spectrum vs. Bethe Ansatz
• Semiclassical folded string in AdS4 X CP3
• Semiclassical spectrum of a Jordanian deformation of $Ad{S}_5\times S^5$
• Quantum finite-size effects for dyonic magnons in the AdS_4 x CP^3
• On string integrability. A journey through the two-dimensional hidden symmetries in the AdS/CFT dualities
• Note on Integrability of Marginally Deformed ABJ(M) Theories
• Peculiarities of String Theory on AdS(4) x CP(3)
• Kaluza-Klein gauge and minimal integrable extension of OSp(4|6)/(SO(1,3) x U(3)) sigma-model
• Real and Virtual Bound States in Lüscher Corrections for CP3 Magnons
• Multi-Spin Strings in AdS_4*CP^3 and its β-deformation
• Exact Results in Supersymmetric Gauge Theories
• Worldsheet one-loop energy correction to IIA Giant Magnon