Quantum corrections to energy of short spinning string in AdS5

Abstract

Motivated by desire to shed light on the strong coupling behaviour of anomalous dimensions of "short" gauge theory operators we consider the famous example of folded spinning string in AdS_5 in the limit of small semiclassical spin parameter §= S/sqrt[lambda]. In this limit the string becomes short and is moving in a near-flat central region of AdS_5. Its energy scales with spin as E = sqrt[2 S] [ a_0 + a_1 S + a_2 S^2 + ...]. We explicitly compute the leading 1-loop quantum AdS_5 x S^5 superstring corrections to the short-string limit coefficients a_0 and a_1 and show, in particular, that a_1 receives a contribution containing ζ(3).

27 pages; v2: comments and appendix B about regularization ambiguity added; v3,4: minor corrections; v5: treatment of fermionic contribution corrected, a new appendix and a note added

References in corpus (20)

• A semi-classical limit of the gauge/string correspondence
• Type IIB superstring action in AdS_5 x S^5 background
• Long-Range PSU(2,2|4) Bethe Ansaetze for Gauge Theory and Strings
• Semiclassical quantization of rotating superstring in AdS_5 x S^5
• Three-loop universal anomalous dimension of the Wilson operators in N=4 SUSY Yang-Mills model
• Multi-spin string solutions in AdS_5 x S^5
• Comments on operators with large spin
• Green-Schwarz String in AdS_5 x S^5: Semiclassical Partition Function
• Precision Spectroscopy of AdS/CFT
• Gauge/string duality for QCD conformal operators
• Logarithmic scaling in gauge/string correspondence
• Two-loop world-sheet corrections in AdS_5 x S^5 superstring
• Classical/quantum integrability in non-compact sector of AdS/CFT
• Logarithmic corrections to higher twist scaling at strong coupling from AdS/CFT
• A Generalized Scaling Function for AdS/CFT
• Planetoid String Solutions in 3 + 1 Axisymmetric Spacetimes
• Spinning superstrings at two loops: strong-coupling corrections to dimensions of large-twist SYM operators
• 1/J corrections to semiclassical AdS/CFT states from quantum Landau-Lifshitz model
• Double Scaling and Finite Size Corrections in sl(2) Spin Chain
• On the short string limit of the folded spinning string in AdS5 x S5

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• On the short string limit of the folded spinning string in AdS5 x S5
• Semiclassical Strings in AdS_5 x S^5 and Automorphic Functions
• A semiclassical analysis of the fluctuation eigenvalues and the one-loop energy of the folded spinning superstring in AdS_5 x S^5
• On classical string solutions in AdS_5 x S^5
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