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Compactified Strings as Quantum Statistical Partition Function on the Jacobian Torus

Marco Matone·Paolo Pasti·Sergey Shadchin·Roberto Volpato
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Abstract

We show that the solitonic contribution of compactified strings corresponds to the quantum statistical partition function of a free particle living on higher dimensional spaces. In the simplest case of a compactification in a circle, the Hamiltonian corresponds to the Laplacian on the 2g-dimensional Jacobian torus associated to the genus g Riemann surface corresponding to the string worldsheet. T-duality leads to a symmetry of the partition function mixing time and temperature. Such a classical/quantum correspondence and T-duality shed some light on the well-known interplay between time and temperature in QFT and classical statistical mechanics.

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Marco Matone, Paolo Pasti, Sergey Shadchin, Roberto Volpato. 2006-11-20. Compactified Strings as Quantum Statistical Partition Function on the Jacobian Torus. https://doi.org/10.1103/physrevlett.97.261601

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