2014/09/30 by V. Forini, V. Giangreco M. Puletti, M. Pawellek +1 · 1 citation
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1088/1751-8113/48/8/085401
v2, references and two footnotes added
arxiv created 2014/12/22 · arxiv updated 2015/06/23
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.