Group theoretic quantisation of strings on tori

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Abstract
The quantisation of particles and strings moving on a n-torus is discussed within the framework of a group theoretic scheme that respects the global topological structure of the system. It is shown how the representation of the disconnected part of the string's canonical group leads naturally to the extra canonical variables that have previously been introduced ad hoc. This extra circular degree of freedom is combined group theoretically with the constant string modes to give a left-right split.