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Journal Article

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

MPS-Authors

Beccaria,  M.
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

Forini,  V.
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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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: https://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.