2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/189666We 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.10 pages, typos corrected, minor changes; to appear in Physical Review LettersHigh Energy Physics - TheoryStatistical MechanicsMathematical PhysicsQuantum Physicstext