Schreiber K from M
An article that we are finalizing:
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On the Derivation of
Twisted K-Theory from M-Theorymanuscript draft: pdf (Sep 21)
Abstract: In a restricted untwisted sector, Diaconescu, Moore & Witten (2000, 2003) gave a quantum M-theoretic consistency check, at the level of partition functions, of what one may call Hypothesis K—namely that magnetic and electric type IIA brane charges are quantized in *K*-theory.
We show that the more recently discussed Hypothesis H—that magnetic and electric charges in 11D are jointly quantized quantized in co*H*omotopy—together with a topological smallness condition on the M-theory circle, systematically implies that IIA charges are quantized in a nonabelian deformation of twisted K-theory by the previously neglected non-linear NS1-brane charge.
This is essentially a derivation of twisted K-theory from IR-completed 11D supergravity, and conversely a further consistency check on Hypothesis H from Hypothesis K.
We motivate and precisely state this result, discuss its structural implications, and outline the formidable algebro-topological proof.
Background lectures:
Last revised on September 21, 2026 at 09:36:47. See the history of this page for a list of all contributions to it.