Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-02-05
JHEP 1108:046,2011
Physics
High Energy Physics
High Energy Physics - Theory
20 pages, 1 figure; v2: references added, typos corrected; v3: major improvement of the references; v4: Discussion of short op
Scientific paper
10.1007/JHEP08(2011)046
Using the algebraic curve approach we one-loop quantize the folded string solution for the type IIB superstring in AdS(5)xS(5). We obtain an explicit result valid for arbitrary values of its Lorentz spin S and R-charge J in terms of integrals of elliptic functions. Then we consider the limit S ~ J ~ 1 and derive the leading three coefficients of strong coupling expansion of short operators. Notably, our result evaluated for the anomalous dimension of the Konishi state gives 2\lambda^{1/4}-4+2/\lambda^{1/4}. This reproduces correctly the values predicted numerically in arXiv:0906.4240. Furthermore we compare our result using some new numerical data from the Y-system for another similar state. We also revisited some of the large S computations using our methods. In particular, we derive finite--size corrections to the anomalous dimension of operators with small J in this limit.
Gromov Nikolay
Serban Didina
Shenderovich Igor
Volin Dmytro
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