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arXiv · 1102.1040

Quantum folded string and integrability: from finite size effects to Konishi dimension

Nikolay Gromov·Didina Serban·Igor Shenderovich·Dmytro Volin
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Abstract

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 2λ^{1/4}-4+2/λ^{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.

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Nikolay Gromov, Didina Serban, Igor Shenderovich, Dmytro Volin. 2011-09-09. Quantum folded string and integrability: from finite size effects to Konishi dimension. https://doi.org/10.1007/jhep08(2011)046

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