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arXiv · 1409.8674

One-loop spectroscopy of semiclassically quantized strings: bosonic sector

V. Forini·V. Giangreco M. Puletti·M. Pawellek·E. Vescovi
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Abstract

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 $AdS_5$ with an angular momentum $J$ in $S^5$. 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.

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V. Forini, V. Giangreco M. Puletti, M. Pawellek, E. Vescovi. 2014-09-30. One-loop spectroscopy of semiclassically quantized strings: bosonic sector. https://doi.org/10.1088/1751-8113/48/8/085401

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