One-loop spectroscopy of semiclassically quantized strings: bosonic sector. (30th January 2015)

• Record Type: Journal Article
• Authors: Forini, Valentina; Puletti, Valentina Giangreco M; Pawellek, Michael; Vescovi, Edoardo
• Is Part Of: Journal of physics. Volume 48:Number 8(2015)
• Publication Date: 2015-01-30
• Subjects: string theory -- AdS/CFT -- special differential operators; Mathematical physics -- Periodicals; Statistical physics -- Periodicals; Quantum theory -- Periodicals; Matter -- Properties -- Periodicals; 530.105
• DOI: 10.1088/1751-8113/48/8/085401
• Languages: English
• ISSNs: 1751-8113

Abstract

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 AdS5 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.