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arXiv · hep-th/9405002

Moduli Spaces and Target Space Duality Symmetries in $(0,2)\; Z_N$ Orbifold Theories with Continuous Wilson Lines

G. Lopes Cardoso·D. Luest·T. Mohaupt
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Abstract

We present the coset structure of the untwisted moduli space of heterotic $(0,2) \; Z_N$ orbifold compactifications with continuous Wilson lines. For the cases where the internal 6-torus $T_6$ is given by the direct sum $T_4 \oplus T_2$, we explicitly construct the Kähler potentials associated with the underlying 2-torus $T_2$. We then discuss the transformation properties of these Kähler potentials under target space modular symmetries. For the case where the $Z_N$ twist possesses eigenvalues of $-1$, we find that holomorphic terms occur in the Kähler potential describing the mixing of complex Wilson moduli. As a consequence, the associated $T$ and $U$ moduli are also shown to mix under target space modular transformations.

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G. Lopes Cardoso, D. Luest, T. Mohaupt. 1994-05-02. Moduli Spaces and Target Space Duality Symmetries in $(0,2)\; Z_N$ Orbifold Theories with Continuous Wilson Lines. https://doi.org/10.1016/0550-3213(94)90594-0

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