Comment on the scaling function inAdS4× ℂℙ3

2008/07/30 by Nikolay Gromov, Victor Mikhaylov · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Quantum Chromodynamics and Particle Interactions #hep-th

paper · pdf · doi:10.1088/1126-6708/2009/04/083

published as JHEP 0904:083,2009 · references added

arxiv created 2008/07/30 · openalex publication_date 2009/04/21 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The folded spinning string in AdS3 gives us an important insight into AdS/CFT duality. Recently its one-loop energy was analyzed in the context of AdS4/CFT3 by McLoughlin and Roiban arXiv:0807.3965, by Alday, Arutyunov and Bykov arXiv:0807.4400 and by Krishnan arXiv:0807.4561. They computed the spectrum of the fluctuations around the classical solution. In this paper we reproduce their results using the algebraic curve technique and show that under some natural resummation of the fluctuation energies the one-loop energy agrees perfectly with the predictions of arXiv:0807.0777. This provides a further support of the all-loop Bethe equations and of the AdS4xCP3 algebraic curve developed in arXiv:0807.0437.

Citations

• Spinning strings at one-loop in AdS4× ℙ3
• The all loop AdS4/CFT3 Bethe ansatz
• The AdS4/CFT3 algebraic curve
• Giant magnons in AdS₄/CFT₃: dispersion, quantization and finite--size corrections
• The integrable O(6) model and the correspondence: checks and predictions
• Long-Range PSU(2,2|4) Bethe Ansaetze for Gauge Theory and Strings
• The Large N Limit of Superconformal Field Theories and Supergravity

Cited by

• Spinning strings at one-loop in AdS4× ℙ3
• Spiky strings inAdS4×CP3with Neveu-Schwarz flux