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Semiclassical Strings in AdS(5) X S(5) and Automorphic Functions
KTH, School of Engineering Sciences (SCI), Theoretical Physics, Mathematical Physics.
2011 (English)In: Physical Review Letters, ISSN 0031-9007, E-ISSN 1079-7114, Vol. 106, no 24, 241601- p.Article in journal (Refereed) Published
Abstract [en]

Using anti-de Sitter-space/conformal-field-theory correspondence we derive from the folded spinning string ordinary differential equations for the anomalous dimension of the dual N = 4 super Yang-Mills theory twist-two operators at strong coupling. We show that for large spin the asymptotic solutions have the Gribov-Lipatov reciprocity property. To obtain this result we use a hidden modular invariance of the energy-spin relation of the folded spinning string. Furthermore, we identify the Moch-Vermaseren-Vogt relations, which were first recognized in plain QCD calculations, as the recurrence relations of the asymptotic series ansatz.

Place, publisher, year, edition, pages
2011. Vol. 106, no 24, 241601- p.
Keyword [en]
gauge/string correspondence, limit
Identifiers
URN: urn:nbn:se:kth:diva-39183DOI: 10.1103/PhysRevLett.106.241601ISI: 000291609100004Scopus ID: 2-s2.0-79960644570OAI: oai:DiVA.org:kth-39183DiVA: diva2:439497
Available from: 2011-09-08 Created: 2011-09-08 Last updated: 2017-12-08Bibliographically approved

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