On the Algebraic K-theory of The Massive D8 and M9 Branes

Details On the Algebraic K-theory of The Massive D8 and M9 Branes On the Algebraic K-theory of The Massive D8 and M9 Branes

1999-05-05

arxiv.org/abs/hep-th/9905034v1

Int.J.Mod.Phys. A16 (2001) 4429-4452

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, LATeX file

Scientific paper

10.1142/S0217751X01005250

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 speculating 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 $K_0 (C(W))$ and the (inequivalent classes of) spaces of gauge fields on the M9-branes as the elements of $K_0(C(Z)\times_{\bar{k}^*}G}$ a connection between charges and gauge fields is argued to exist. This connection is realized as a map between the corresponding algebraic K-theory groups.

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