The string partition function in Hull's doubled formalism

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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16 pages, latex, v2 typos corrected, v3 some comments added

Scientific paper

10.1016/j.physletb.2007.03.007

T-duality is one of the essential elements of string theory. Recently, Hull has developed a formalism where the dimension of the target space is doubled so as to make T-duality manifest. This is then supplemented with a constraint equation that allows the connection to the usual string sigma model. This paper analyses the partition function of the doubled formalism by interpreting the constraint equation as that of a chiral scalar and then using holomorphic factorisation techniques to determine the partition function. We find there is quantum equivalence to the ordinary string once the topological interaction term is included.

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