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• CommentRowNumber1.
• CommentAuthorUrs
• CommentTimeMay 16th 2014
• (edited May 16th 2014)

created a table-for-inclusion

and included it into relevant entries

• CommentRowNumber2.
• CommentAuthorDavid_Corfield
• CommentTimeMay 17th 2014

Slide 68 of Riccioni’s talk E11 and M-theory also has a 10A row. Should there be one in your table?

• CommentRowNumber3.
• CommentAuthorDavid_Corfield
• CommentTimeMay 17th 2014
• (edited May 17th 2014)

And do you mean to have $SL(5, \mathbb{R})$ for 6d supergravity instead of his $SO(5, 5)$, and $Spin(5, 5)$ for 7d supergravity instead of his $SL(5, \mathbb{R})$?

• CommentRowNumber4.
• CommentAuthorDavid_Corfield
• CommentTimeMay 17th 2014

So those entries should be swapped, right? People seem to differ between $SO(5, 5)$ and $Spin(5,5)$ for 6d.

• CommentRowNumber5.
• CommentAuthorUrs
• CommentTimeMay 17th 2014

Thanks. Yes. And yes.

I noticed this last night before going to bed: this is a typo in the original Hull-Townsend 95, table 1?! (Or I am mixed up.)

I am editing now.

• CommentRowNumber6.
• CommentAuthorUrs
• CommentTimeMay 17th 2014
• (edited May 17th 2014)

Okay, I have fixed that.

So this is striking, that the only other entry besides $10B$ with $SL(2,\mathbb{Z})$ whose U-duality might be related to automorphic forms (I mean SL-equivariant) is $7d$.

In the other thread we are discussing how quantization of the 7d theory should involve the “$CY3$-generalization” of K3-cohomology