Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1994-05-02
Nucl.Phys.B432:68-108,1994
Physics
High Energy Physics
High Energy Physics - Theory
43 pages, HUB-IEP-94/6
Scientific paper
10.1016/0550-3213(94)90594-0
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 K\"{a}hler potentials associated with the underlying 2-torus $T_2$. We then discuss the transformation properties of these K\"{a}hler 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 K\"{a}hler 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.
Cardoso Granado L.
Luest Dieter
Mohaupt Thomas
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