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T Duality Between Perturbative Characters of $E_8otimes E_8$ and SO(32) Heterotic Strings Compactified On A Circle | | Jean-Loup Gervais
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22 Oct 1998 | | Journal: | Nucl.Phys. B546 (1999) 135-154 | | Subject: | hep-th | | Abstract: | Characters of $E_8otimes E_8$ 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. | | Source: | arXiv, hep-th/9810172 | | Services: | Forum | Review | PDF | Favorites | |
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