The dual string σ-model of the SU q(3) sector

Valentina Giangreco M. Puletti*, Teresia Månsson

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)


In four-dimensional N = 4 super Yang-Mills (SYM) the SU(3) sub-sector spanned by purely holomorphic fields is isomorphic to the corresponding mixed one spanned by both holomorphic and anti-holomorphic fields. This is no longer the case when one considers the marginally deformed N = 4 SYM. The mixed SU(3) sector marginally deformed by a complex parameter β, i.e. SU q(3) with q = e 2iπβ, has been shown to be integrable at one-loop [1], while it is not the case for the corresponding purely holomorphic one. Moreover, the marginally deformed N = 4 SYM also has a gravity dual constructed by Lunin and Maldacena in [2]. However, the mixed SUq(3) sector has not been studied from the supergravity point of view. Hence in this note, for the case of purely imaginary marginal β-deformations, we compute the superstring SUq(3) σ-model in the fast spinning string limit and show that, for rational spinning strings, it reproduces the energy computed via Bethe equations.

Original languageEnglish
Article number129
JournalJournal of High Energy Physics
Issue number1
Publication statusPublished - 2012

Other keywords

  • AdS-CFT correspondence
  • Bethe ansatz


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