Rational three-spin string duals and non-anomalous finite size effects

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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15 pages, v2: comparison to string theory changed, references added, v3: textual modifications and title changed

Scientific paper

10.1088/1126-6708/2005/05/043

We determine by a one line computation the one-loop conformal dimension and the associated non-anomalous finite size correction for all operators dual to spinning strings of rational type having three angular momenta (J_1,J_2,J_3) on S^5. Finite size corrections are conjectured to encode information about string sigma model loop corrections to the spectrum of type IIB superstrings on AdS_5xS^5. We compare our result to the zero-mode contribution to the leading quantum string correction derived for the stable three-spin string with two out of the three spin labels identical and observe agreement. As a side result we clarify the relation between the Bethe root description of three-spin strings of the type (J,J',J') with respectively J>J' and J

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