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arXiv · hep-th/9810172

T Duality Between Perturbative Characters of $E_8\otimes E_8$ and SO(32) Heterotic Strings Compactified On A Circle

Jean-Loup Gervais
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Abstract

Characters of $E_8\otimes E_8$ and SO(32) heterotic strings involving the full internal symmetry Cartan subalgebra generators are defined after circle compactification so that they are T dual. The novel point, as compared with an earlier study of the type II case (hep-th/9707107), is the appearence of Wilson lines. Using SO(17,1) transformations between the weight lattices reveals the existence of an intermediate theory where T duality transformations are disentangled from the internal symmetry. This intermediate theory corresponds to a sort of twisted compactification of a novel type. Its modular invariance follows from an interesting interplay between three representations of the modular group.

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Jean-Loup Gervais. 1998-10-22. T Duality Between Perturbative Characters of $E_8\otimes E_8$ and SO(32) Heterotic Strings Compactified On A Circle. https://doi.org/10.1016/s0550-3213(99)00011-5

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