Dirichlet Branes on Orbifolds

TL;DR

This paper systematically analyzes the D-brane spectrum on certain orbifolds in string theory, determines their K-theory groups, and calculates their charge densities, providing a comprehensive understanding of these configurations.

Contribution

It offers a detailed computation of D-brane spectra and K-theory groups on $ ext{Z}_2$ orbifolds in Type II string theories, highlighting new insights into their charge structures.

Findings

K-theory groups match the D-brane spectrum

Charge densities of branes are explicitly calculated

Complete classification of D-branes on the orbifolds

Abstract

The D-brane spectrum of a class of $\Zop_2$ orbifolds of toroidally compactified Type IIA and Type IIB string theory is analysed systematically. The corresponding K-theory groups are determined and complete agreement is found. The charge densities of the various branes are also calculated.