Cylinder quantum field theories at small coupling

Abstract

We analyse the path integral of Liouville Field Theory compactified on a cylinder. At small coupling, the zero mode is weakly coupled to the Kaluza-Klein (KK) sector and is described by Liouville Quantum Mechanics. In this framework, we recover the main properties of the 1-loop partition function, including T-duality. A wider class of models, in which our formalism is applicable, is discussed. We define novel cylinder QFTs starting from solvable quantum mechanical models, and compute their 1-loop partitions functions.