Finite-size corrections for quantum strings on AdS4 × ℂℙ3

Davide Astolfi*, Valentina Giangreco M. Puletti, Gianluca Grignani, Troels Harmark, Marta Orselli

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

20 Citations (Scopus)


We revisit the calculation of curvature corrections to the pp-wave energy of type IIA string states on AdS4×ℂℙ3 initiated in arXiv:0807.1527. Using the near pp-wave Hamiltonian found in arXiv:0912.2257, we compute the first non-vanishing correction to the energy of a set of bosonic string states at order 1/R2, where R is the curvature radius of the background. The leading curvature corrections give rise to cubic, order 1/R, and quartic, order 1/R2, terms in the Hamiltonian, for which we implement the appropriate normal ordering prescription. Including the contributions from all possible fermionic and bosonic string states, we find that there exist logarithmic divergences in the sums over mode numbers which cancel between the cubic and quartic Hamiltonian. We show that from the form of the cubic Hamiltonian it is natural to require that the cutoff for summing over heavy modes must be twice the one for light modes. With this prescription the strong-weak coupling interpolating function h(λ), entering the magnon dispersion relation, does not receive a one-loop correction, in agreement with the algebraic curve spectrum. However, the single magnon dispersion relation exhibits finite-size exponential corrections.

Original languageEnglish
Article number128
JournalJournal of High Energy Physics
Issue number5
Publication statusPublished - 2011

Other keywords

  • AdS-CFT correspondence
  • Penrose limit and pp-wave background


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