M-Theory Solutions in Multiple Signatures from E11
Abstract
We generalise the previously given E11 half BPS solution generating group element to general weights of A10. We find that it leads to solutions of M-theory but in signatures (1,10), (2,9), (5,6), (6,5), (9,2) and (10,1). The signature transformations of the solution are naturally generated by the Weyl reflections required to transform the lowest A10 weight into a general weight in the same representation. We also rediscover known S-brane solutions in M-theory from the group element in different signatures.
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