D-brane charges on SO(3)

TL;DR

This paper analyzes D-brane charges on the SO(3) group manifold using conformal field theory, revealing a different charge group due to a specific Z_2-orbifold and confirming results with K-theory calculations.

Contribution

It introduces a new Z_2-orbifold action on SU(2) that affects D-brane charge classification on SO(3), extending previous work with novel boundary state analysis.

Findings

Different charge group from previous orbifold models

Agreement with K-theory computations

Analysis of both symmetric and less symmetric branes

Abstract

In this letter we discuss charges of D-branes on the group manifold SO(3). Our discussion will be based on a conformal field theory analysis of boundary states in a Z_2-orbifold of SU(2). This orbifold differs from the one recently discussed by Gaberdiel and Gannon in its action on the fermions and leads to a drastically different charge group. We shall consider maximally symmetric branes as well as branes with less symmetry, and find perfect agreement with a recent computation of the corresponding K-theory groups.