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#### Exact computation of one-loop correction to energy of spinning folded string in AdS_5xS^5

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##### Fulltext (public)

JPA_43_16_165402.pdf

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##### Citation

Beccaria, M., Dunne, G., Forini, V., Pawellek, M., & Tseytlin, A. (2010). Exact
computation of one-loop correction to energy of spinning folded string in AdS_5xS^5.* Journal of Physics
A: Mathematical and Theoretical,* *43*(16): 165402. doi:10.1088/1751-8113/43/16/165402.

Cite as: http://hdl.handle.net/11858/00-001M-0000-0012-6443-A

##### Abstract

We consider the one-loop correction to the energy of the folded spinning string
solution in the AdS3 part ofAdS5×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 nontrivial
problem. We show how it can be solved exactly by using the staticgauge
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)
Lam´e 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.