We consider the 1-loop correction to the energy of 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) 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.
Exact computation of one-loop correction to energy of spinning folded string in AdS5 x S5
BECCARIA, Matteo;
2010-01-01
Abstract
We consider the 1-loop correction to the energy of 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) 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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
