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The Monster Group is the largest "sporadic simple group" with order: 808,017,424,794,512,875,886,459,904,961,710,757,005,754,368,000,000,000

I read that if you compactify 26D bosonic string theory on the 24D torus given by the Leech Lattice, then you end up with a vertex algebra with Monster Group symmetry.

I also read that heterotic string theoy is a combination of 26D string theory and 10D superstring theory for left/right modes.

But then I also read we might be living on a 3-brane in a higher dimensional bulk space.

So if this bulk space was on a 24D torus (a very large one, so large we couldn't tell),

then would this mean that the Universe did have Monster symmetry?

I think the Monster group is a really interesting object and it would be cool if this was a symmetry of the Universe. But I don't really know enough about these things.

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  • $\begingroup$ so are you soliciting opinions? $\endgroup$ – ZeroTheHero Sep 24 '19 at 0:28
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    $\begingroup$ I am asking a question. It's either yes or no. $\endgroup$ – zooby Sep 24 '19 at 0:46
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    $\begingroup$ I don't know the answer, but maybe check Understanding the Monster CFT and Witten's paper Three-D Gravity Reconsidered, which says: "We consider the problem of identifying the CFTs that may be dual to pure gravity in three dimensions with negative cosmological constant. ... At the most negative possible value of the cosmological constant, the dual CFT is very likely the monster theory of [FLM]. ... Arguably, the FLM model is the most natural known structure with [Monster] symmetry." This paper cites more ref's. $\endgroup$ – Chiral Anomaly Sep 24 '19 at 3:14
  • $\begingroup$ @Chiral Interesting. Yes, because compactifying 26D bosonic string theory on 24D lattice leaves a 2D CFT. And perhaps Witten is saying that with AdS CFT correspondence then this would give gravity in 3 dimensions. (Even though, the Universe has 4 dimensions!) I go by the opinion if the Universe doesn't have Monster symmetry, I don't want to live in it! $\endgroup$ – zooby Sep 24 '19 at 14:40

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