## Advances in Theoretical and Mathematical Physics

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

#### Abstract

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.

#### Article information

Source
Adv. Theor. Math. Phys., Volume 16, Number 6 (2012), 1591-1618.

Dates
First available in Project Euclid: 20 August 2014

Mendez-Diez, Stefan; Rosenberg, Jonathan. $K$-theoretic matching of brane charges in S- and U-duality. Adv. Theor. Math. Phys. 16 (2012), no. 6, 1591--1618. https://projecteuclid.org/euclid.atmp/1408562441