Contents

Contents

Idea

A brane worldvolume $\phi \colon \Sigma \longrightarrow X$ is said to wrap a cycle $c \in H_{\dim(\Sigma)}(X)$ in spacetime $X$ when the pushforward $\phi_\ast [\Sigma] \in H_\bullet(X)$ of the fundamental class of $\Sigma$ is the class of the given cycle in $X$.

Examples

Via the identification of D-brane charge in K-theory, the K-theoretic McKay correspondence formalizes how D-branes wrap the fundamental cycles in the blow-up resultion of an ADE-singularity (Gonzalez-Sprinberg & Verdier 83)

graphics grabbed from Sugimoto 16

References

Last revised on May 22, 2019 at 15:21:09. See the history of this page for a list of all contributions to it.