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

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.

43 pages, HUB-IEP-94/6

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