Rational three-spin string duals and non-anomalous finite size effects

Abstract

We determine by a one line computation the one-loop conformal dimension and the associated non-anomalous finite size correction for all operators dual to spinning strings of rational type having three angular momenta (J_1,J_2,J_3) on S^5. Finite size corrections are conjectured to encode information about string sigma model loop corrections to the spectrum of type IIB superstrings on AdS_5xS^5. We compare our result to the zero-mode contribution to the leading quantum string correction derived for the stable three-spin string with two out of the three spin labels identical and observe agreement. As a side result we clarify the relation between the Bethe root description of three-spin strings of the type (J,J',J') with respectively J>J' and J<J'.

15 pages, v2: comparison to string theory changed, references added, v3: textual modifications and title changed

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Cited by in corpus (16)

• Foundations of the AdS_5 x S^5 Superstring. Part I
• On Quantum Corrections to Spinning Strings and Bethe Equations
• Gauge-string duality for (non)supersymmetric deformations of N=4 Super Yang-Mills theory
• Quantum corrections to spinning strings in AdS(5)xS(5) and Bethe ansatz: a comparative study
• Complete 1-loop test of AdS/CFT
• A Universality Test of the Quantum String Bethe Ansatz
• Stringy sums and corrections to the quantum string Bethe ansatz
• Gauge invariant finite size spectrum of the giant magnon
• 1/J corrections to semiclassical AdS/CFT states from quantum Landau-Lifshitz model
• Fluctuations and Energy Shifts in the Bethe Ansatz
• Wound and Rotating Strings in AdS_5 x S^5
• Sigma model from SU(1,1|2) spin chain
• "Short" spinning strings and structure of quantum AdS_5 x S^5 spectrum
• Anomalous dimensions of finite size field strength operators in N=4 SYM
• Fast spinning strings on $\eta$ deformed $Ad{S}_5\times S^5$
• The dual string sigma-model of the SU_q(3) sector