City Research Online

One-loop spectroscopy of semiclassically quantized strings: bosonic sector

Forini, V. ORCID: 0000-0001-9726-1423, Puletti, V. G. M., Pawellek, M. and Vescovi, E. (2015). One-loop spectroscopy of semiclassically quantized strings: bosonic sector. Journal of Physics A: Mathematical and Theoretical, 48(8), 085401.. doi: 10.1088/1751-8113/48/8/085401


We make a further step in the analytically exact quantization of spinning string states in semiclassical approximation, by evaluating the exact one-loop partition function for a class of two-spin string solutions for which quadratic fluctuations form a non-trivial system of coupled modes. This is the case of a folded string in the SU(2) sector, in the limit described by a quantum Landau–Lifshitz model. The same applies to the full bosonic sector of fluctuations over the folded spinning string in AdS5 with an angular momentum J in S5. Fluctuations are governed by a special class of fourth-order differential operators, with coefficients being meromorphic functions on the torus, which we are able to solve exactly.

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
Departments: School of Mathematics, Computer Science & Engineering > Mathematics
Text - Accepted Version
Available under License Creative Commons: Attribution International Public License 4.0.

Download (6MB) | Preview



Downloads per month over past year

View more statistics

Actions (login required)

Admin Login Admin Login