Quantum dispersion relations for the AdS₄ × CP³ GKP string

2015/05/04 by Lorenzo Bianchi, Bianchi, Lorenzo, Marco S. Bianchi +1
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th

paper · pdf · doi:10.48550/arxiv.1505.00783

30 pages, 3 figures; v2: published version

arxiv created 2015/11/04 · arxiv updated 2015/11/05

Abstract

We compute the one-loop correction to the dispersion relations of the excitations of the AdS₄ × CP³ sigma model dual to ABJM theory, expanded around the cusp background. The results parallel those of N = 4 SYM. As in that case, the dispersion relations are compatible with the predictions from the Bethe ansatz for the GKP string, though showing some known discrepancies on which we comment.

Related

• Perturbation theory for string sigma models
• Giant magnons in AdS₄/CFT₃: dispersion, quantization and finite--size corrections
• A note about fermionic equations of AdS₄ x CP³ superstring
• The type IIA Virasoro-Shapiro amplitude in AdS₄ × CP³ from ABJM theory
• Symmetry Structure of ADHM Sigma Models and AdS₃ Superstrings