Giant magnons in AdS₄/CFT₃: dispersion, quantization and finite--size corrections

2008/07/17 by Igor Shenderovich, Shenderovich, Igor · 5 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #hep-th

paper · pdf · doi:10.48550/arxiv.0807.2861

v3: some misprints corrected

openalex publication_date 2008/07/17 · arxiv created 2008/09/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study giant magnon solutions in AdS4 × CP3. We compute quantum corrections to their dispersion relation. We find out that the one--loop correction vanishes in infinite volume. This implies that the interpolating function h(λ) between strong and weak coupling regimes does not have a constant term λ⁰ at strong coupling. We also compute first nonvanishing finite volume correction to the one--loop expression. When compared to the Lüsher formula, our results could provide a nontrivial check of the AdS4 × CP3 S--matrix proposed recently in arXiv:0807.1924.

Cited by

• On finite-size spiky strings in AdS₃ × S³× T⁴ with mixed fluxes
• Comment on the scaling function inAdS4× ℂℙ3
• TBA and Y-system for planar AdS4/CFT3
• Spinning strings at one-loop in AdS4× ℙ3
• Spiky strings inAdS4×CP3with Neveu-Schwarz flux

Related

• Close to the Giant Magnons
• Quantum dispersion relations for the AdS₄ × CP³ GKP string
• Finite size effects in classical string solutions of the Schrodinger\n geometry
• A HHL 3-point correlation function in the η-deformed AdS₅ x S⁵
• Finite size effect from classical strings in AdS₃ \× S³ with\n NS-NS flux