Rational three-spin string duals and non-anomalous finite size effects
Abstract
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<J'.
Cite
@article{arxiv.hep-th/0502122,
title = {Rational three-spin string duals and non-anomalous finite size effects},
author = {Lisa Freyhult and Charlotte Kristjansen},
journal= {arXiv preprint arXiv:hep-th/0502122},
year = {2010}
}
Comments
15 pages, v2: comparison to string theory changed, references added, v3: textual modifications and title changed