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arXiv · hep-th/0612023

The moduli space of hyper-K{ä}hler four-fold compactifications

Ram Sriharsha
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Abstract

I discuss some aspects of the moduli space of hyper-K{ä}hler four-fold compactifications of type II and ${\cal M}$- theories. The dimension of the moduli space of these theories is strictly bounded from above. As an example I study Hilb$^2(K3)$ and the generalized Kummer variety $K^2(T^4)$. In both cases RR-flux (or $G$-flux in ${\cal M}$-theory) must be turned on, and we show that they give rise to vacua with ${\cal N}=2$ or ${\cal N}=3$ supersymmetry upon turning on appropriate fluxes. An interesting subtlety involving the symmetric product limit $S^2(K3)$ is pointed out.

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Ram Sriharsha. 2007-01-05. The moduli space of hyper-K{ä}hler four-fold compactifications. https://doi.org/10.1088/1126-6708%2F2007%2F03%2F095

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