Semiclassical quantization of rotating superstring in AdS_5 x S^5

Abstract

Motivated by recent proposals in hep-th/0202021 and hep-th/0204051 we develop semiclassical quantization of superstring in $Ad{S}_{5}x{S}^5$. We start with a classical solution describing string rotating in $Ad{S}_5$ and boosted along large circle of $S^5$. The energy of the classical solution $E$ is a function of the spin $S$ and the momentum $J$ (R-charge) which interpolates between the limiting cases S=0 and J=0 considered previously. We derive the corresponding quadratic fluctuation action for bosonic and fermionic fields from the GS string action and compute the string 1-loop (large $λ= {R^4\over \a'^2}$) correction to the classical energy spectrum in the $(S,J)$ sector. We find that the 1-loop correction to the ground-state energy does not cancel for non-zero $S$. For large $S$ it scales as $\ln S$, i.e. as the classical term, with no higher powers of $\ln S$ appearing. This supports the conjecture made in hep-th/0204051 that the classical $E-S=a\ln S$ scaling can be interpolated to weak coupling to reproduce the corresponding operator anomalous dimension behaviour in gauge theory.

harvmac, 35p. v2,3: minor corrections; v4: added remarks about higher-loop corrections in section 4 and an argument suggesting the absence of higher than log S corrections to the energy to all orders in string tension in section 6.1; v5: factor 1/2 misprints corrected in eqs. (6.6) and (6.8) and thus in (6.5) and (6.9)

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• Strings in flat space and pp waves from $\mathcal{N}=4$ Super Yang Mills
• Type IIB Green-Schwarz superstring in plane wave Ramond-Ramond background
• Exactly solvable model of superstring in Ramond-Ramond plane wave background
• A new maximally supersymmetric background of IIB superstring theory
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Cited by in corpus (485)

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• Nonforward anomalous dimensions of Wilson operators in N=4 super-Yang-Mills theory
• Reciprocity and integrability in the sl(2) sector of N=4 SYM
• The virtual scaling function of twist operators in the N=6 Chern-Simons theory
• Semiclassical Strings in AdS_5 x S^5 and Automorphic Functions
• On the short string limit of the folded spinning string in AdS5 x S5
• Semiclassical SL(2) Strings on LLM backgrounds
• The scattering amplitude of stringy hadrons I: Strings with opposite charges on their endpoints
• Perturbations of spiky strings in flat spacetimes
• One-loop correction to the energy of a wavy line string in AdS_5
• Penrose limit of a non-supersymmetric RG fixed point
• Splitting of folded strings in AdS_3
• Spinning strings in AdS_5 x S^5: A worldsheet perspective
• Pulsating Strings in Lunin-Maldacena Backgrounds
• Semiclassical Analysis of String/Gauge Duality on Non-commutative Space
• Gravitating spinning strings in AdS${}_3$
• Anomalous dimensions of twist-2 conformal operators in supersymmetric Wess-Zumino model
• Perturbations of spiky strings in AdS3
• Notes on BPS Wilson Loops and the Cusp Anomalous Dimension in ABJM theory
• Spiky strings in de Sitter space
• Fishnet four-point integrals: integrable representations and thermodynamic limits
• Light-cone limits of large rectangular fishnets
• Spacetime Quotients, Penrose Limits and Conformal Symmetry Restoration
• Semiclassical Strings Probing NS5 Brane Wrapped on S^5
• Dilatation operator in 3d
• ABJM flux-tube and scattering amplitudes
• Holography on the lattice: the string worldsheet perspective
• On Semiclassical Equivalence of Green-Schwarz and Pure Spinor Strings in AdS(5) x S(5)
• Quantum Strings and Bethe Equations
• Integrable systems and AdS/CFT duality
• Semiclassical energy of the $Ad{S}_4\times {\mathbb{CP}}^3$ folded string
• On the dressing phase in the SL(2) Bethe Ansatz
• Giant graviton interactions and M2-branes ending on multiple M5-branes
• Twistors, strings and supersymmetric gauge theories
• On type 0 string theory in solvable RR backgrounds
• On multi-spin classical strings with NS-NS flux
• Kappa symmetric OSp(2|2) WZNW model
• PP-waves and softly broken N=1 SYM
• Self-similar extrapolation of nonlinear problems from small-variable to large-variable limit
• Multi-Spin Strings in AdS_4*CP^3 and its β-deformation
• Resumming planar diagrams for the N=6 ABJM cusped Wilson loop in light-cone gauge
• DGLAP and BFKL equations in $\mathcal{N}=4$ SYM: from weak to strong coupling
• The $\mathrm{SL}(2,\mathbb{R})$ Wess-Zumino-Novikov-Witten spin-chain $\sigma$-model
• Operator with large spin and spinning D3-brane
• Penrose Limit and Enhancon Geometry
• BPS Wilson Loop T-dual to Spinning String in AdS5xS5
• Investigating (Non)-Integrability and Pulsating String in D3-Brane Background
• Spin chains and classical strings in rotating Rindler-AdS space
• Analytic Bethe Ansatz Solutions for Highest States in the su(1|1) and su(2) Sectors
• On Rotating and Oscillating Four-Spin Strings in AdS5 X S5
• Gauge-String Dualities and Some Applications
• Some comments about emission channels of non abelian vortices
• Exact Results in Supersymmetric Gauge Theories
• Semiclassical quantization of the mixed-flux AdS${}_3$ giant magnon
• Strings in Ramond-Ramond Backgrounds from the Neveu-Schwarz-Ramond Formalism
• Spiky Strings with Two Spins in AdS5
• Large N anomalous dimensions for large operators in Leigh-Strassler deformed SYM
• The SU(1|2) and SU(2|2) Sectors from Superstrings in AdS5 x S5
• Rotating particles in AdS: Holography at weak gauge coupling and without conformal symmetry
• Membranes, Strings and Integrability
• Topics in Cusped/Lightcone Wilson Loops
• A semiclassical analysis of the fluctuation eigenvalues and the one-loop energy of the folded spinning superstring in AdS_5 x S^5
• Pomeron in the N=4 SYM
• On classical string solutions in AdS_5 x S^5
• Old Quantization, Angular Momentum, and Nonanalytic Problems
• String Solutions in General Backgrounds
• Semiclassical short strings in AdS_5 x S^5
• Supersymmetric String Configurations in Ad${\mathbb{S}}_5\times {\mathbb{S}}^5$
• D-branes, gauge/string duality and noncommutative theories
• Worldsheet one-loop energy correction to IIA Giant Magnon
• On 1/2 BPS Solutions in M-theory
• Perturbations of giant magnons and single spikes in $\mathbb{R}\times S^2$