On the Algebraic K-theory of The Massive D8 and M9 Branes
نویسنده
چکیده
We study the relation between the D8-branes wrapped on an orientable compact manifold W in a massive Type IIA supergravity background and the M9-branes wrapped on a compact manifold Z in a massive d=11 supergravity background from the K-theoretic point of view. By speculationg on the use of the dimensional reduction to relate the two theories in different dimensions and by interpreting the D8-brane charges as elements of K0(C(W )) and the (inequivalent classes of) spaces of gauge fields on the M9-branes as the elements of K0(C(Z) ×k̄∗ G) a connection between charges and gauge fields is argued to exists. This connection is realized as a map between the corresponding algebraic K-theory groups.
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