The dual string sigma-model of the SUq(3) sector
2012 (English)In: Journal of High Energy Physics (JHEP), ISSN 1029-8479, E-ISSN 1126-6708, Vol. 2012, no 1, 1-24 p.Article in journal (Refereed) Published
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 beta, i.e. SUq(3) with q = e(2i pi beta), has been shown to be integrable at one-loop , 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 . 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 beta-deformations, we compute the superstring SUq (3) sigma-model in the fast spinning string limit and show that, for rational spinning strings, it reproduces the energy computed via Bethe equations.
Place, publisher, year, edition, pages
Springer, 2012. Vol. 2012, no 1, 1-24 p.
AdS-CFT Correspondence, Bethe Ansatz
IdentifiersURN: urn:nbn:se:kth:diva-93026DOI: 10.1007/JHEP01(2012)129ISI: 000300183300046ScopusID: 2-s2.0-84857329795OAI: oai:DiVA.org:kth-93026DiVA: diva2:514647
FunderSwedish Research Council
QC 201204102012-04-102012-04-102012-05-04Bibliographically approved