Moduli spaces and target space duality symmetries in \((0,2)\) \(Z_N\) orbifold theories with continuous Wilson lines

DOI10.1016/0550-3213(94)90594-0zbMATH Open1020.81787arXivhep-th/9405002OpenAlexW3101902453WikidataQ57077142 ScholiaQ57077142MaRDI QIDQ1571389

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Publication date: 10 July 2000

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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 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.

Full work available at URL: https://arxiv.org/abs/hep-th/9405002

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