Are there alternatives to Calabi-Yau spaces describing dimensions in superstring theory? If yes, what are they? If no, why?

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  • $\begingroup$ Hi Sten! I know I'm supposed to put this into an expanded answer form but unfortunately my circumstances don't allow me to answer in detail. I hope someone will mention it in their answers or you can look into it. There are other manifolds beyond Calabi-Yau. Most notable are the Spin(7) and $G_2$ manifolds used in the compactifcation of M-theory. Hope this helps! $\endgroup$ May 16, 2020 at 6:49
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    $\begingroup$ Thank you, Schroedinger's dog! That is good information. I will look at Spin(7) and G2 manifolds. $\endgroup$ May 17, 2020 at 4:17
  • $\begingroup$ Thank you, Qmechanic, for links to interesting and somewhat clarifying information! $\endgroup$ May 17, 2020 at 4:22