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A Note on T-duality in Heterotic String Theory

Marco Serone·Michele Trapletti
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Abstract

We revisit the T-duality transformation rules in heterotic string theory, pointing out that the chiral structure of the world-sheet leads to a modification of the standard Buscher's transformation rules. The simplest instance of such modifications arises for toroidal compactifications, which are rederived by analyzing a bosonized version of the heterotic world-sheet Lagrangian. Our study indicates that the usual heterotic toroidal T-duality rules naively extended to the curved case cannot be correct, leading in particular to an incorrect Bianchi identity for the field strength H of the Kalb-Ramond field B. We explicitly show this problem and provide a specific example of dual models where we are able to get new T-duality rules which, contrary to the standard ones, lead to a correct T-dual Bianchi identity for H to all orders in α'.

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Marco Serone, Michele Trapletti. 2006-06-07. A Note on T-duality in Heterotic String Theory. https://doi.org/10.1016/j.physletb.2006.03.081

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