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Exact computation of one-loop correction to the energy of folded spinning string in AdS(5) x S-5

Beccaria, M., Dunne, G. V., Forini, V. ORCID: 0000-0001-9726-1423, Pawellek, M. and Tseytlin, A. A. (2010). Exact computation of one-loop correction to the energy of folded spinning string in AdS(5) x S-5. Journal of Physics A: Mathematical and Theoretical, 43(16), 165402.. doi: 10.1088/1751-8113/43/16/165402

Abstract

We consider the one-loop correction to the energy of the folded spinning string solution in the AdS3 part of AdS5 × S5. The classical string solution is expressed in terms of elliptic functions so an explicit computation of the corresponding fluctuation determinants for generic values of the spin appears to be a non-trivial problem. We show how it can be solved exactly by using the static-gauge expression for the string partition function (which we demonstrate to be equivalent to the conformal gauge one) and observing that all the corresponding second-order fluctuation operators can be put into the standard (single-gap) Lamé form. We systematically derive the small-spin and large-spin expansions of the resulting expression for the string energy and comment on some of their applications.

Publication Type: Article
Additional Information: This is an author-created, un-copyedited version of an article accepted for publication/published in Journal of Physics A: Mathematical and Theoretical. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at https://doi.org/10.1088/1751-8113/43/16/165402.
Departments: School of Mathematics, Computer Science & Engineering > Mathematics
URI: http://openaccess.city.ac.uk/id/eprint/19717
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