---
title: "On the Algebraic K-Theory of the Massive D8 and M9 Branes • CBPF Index"
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**Physics Note****Published**

# **On the Algebraic K-Theory of the Massive D8 and M9 Branes**

**I. V. Vancea**

1999

[**Download PDF **0.2 MB](https://index.cbpf.br/files/publicacao/6ad2a767639f62b11adbb44e/pdf) [**Contact owner**](mailto:apub@cbpf.br?subject=On%20the%20Algebraic%20K-Theory%20of%20the%20Massive%20D8%20and%20M9%20Branes)

## **Publication details**

<dl>

<dt>Authors</dt>
<dd>I. V. Vancea</dd>

<dt>Type</dt>
<dd>Physics Note</dd>

<dt>Status</dt>
<dd>Published</dd>

<dt>Publication date</dt>
<dd>1999</dd>

<dt>Description</dt>
<dd>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 interpreting the D8-brane charges as elements of &lt;math&gt;K_{0}(C(W))\,\!&lt;/math&gt; and the (inequivalent classes of) spaces of gauge fields on the M9-branes as the elements of &lt;math&gt;K_{0}(C(Z)\times _{{\bar{k}}^{*}}G)\,\!&lt;/math&gt; 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.</dd>

<dt>Year</dt>
<dd>1999</dd>

<dt>Number</dt>
<dd>CBPF-NF-022/99</dd>

<dt>Linked to a thesis</dt>
<dd>No</dd>

<dt>Linked to a grant</dt>
<dd>No</dd>

</dl>

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