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The dual string sigma-model of the SUq(3) sector
KTH, School of Engineering Sciences (SCI), Theoretical Physics, Mathematical Physics.
2012 (English)In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, Vol. 2012, no 1, 1-24 p.Article in journal (Refereed) Published
Abstract [en]

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 [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 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.
Keyword [en]
AdS-CFT Correspondence, Bethe Ansatz
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:kth:diva-93026DOI: 10.1007/JHEP01(2012)129ISI: 000300183300046Scopus ID: 2-s2.0-84857329795OAI: oai:DiVA.org:kth-93026DiVA: diva2:514647
Funder
Swedish Research Council
Note
QC 20120410Available from: 2012-04-10 Created: 2012-04-10 Last updated: 2017-12-07Bibliographically approved

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