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$E_8$ gauge theory, and a derivation of $K$-theory from $M$-theory

$E_8$ gauge theory, and a derivation of $K$-theory from $M$-theory

The partition function of Ramond-Ramond p-form fields in Type IIA supergravity on a ten-manifold X contains subtle phase factors that are associated with T-duality, self-duality, and the relation of the RR fields to K-theory.The analogous partition function of M-theory on X x S 1 contains subtle phases that are similarly …