Advances in Theoretical and Mathematical Physics

Volume 16 (2012)

Number 6

$K$-theoretic matching of brane charges in S- and U-duality

Pages: 1591 – 1618



Stefan Mendez-Diez (Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta, Canada)

Jonathan Rosenberg (Department of Mathematics, University of Maryland, Md., U.S.A.)


We discuss $K$-theoretic matching of $D$-brane charges in the string duality between type I on ${\mathbb T}^4$ and type IIA on $K3$. This case is more complex than the familiar case of IIA/IIB duality, which is already well understood, but it turns out that replacing $K3$ by its orbifold blow-down seems to largely resolve the apparent problems with the theory.

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