An illustrated guide to D-branes in SU(3)

2001/11/23 by Sonia Stanciu, Stanciu, Sonia · 3 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0111221

33 pages (v2: minor typos corrected.)

openalex publication_date 2001/11/23 · arxiv created 2001/12/20 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a systematic account of symmetric D-branes in the Lie group SU(3). We determine both the classical and quantum moduli space of (twisted) conjugacy classes in terms of the (twisted) Stiefel diagram of the Lie group. We show that the allowed (twisted) conjugacy classes are in one-to-one correspondence with the integrable highest weight representations of the (twisted) affine Lie algebra. In particular, we show how the charges of these D-branes fit in the twisted K-theory groups.

Cited by

• K-Theory from a physical perspective
• Level-rank duality of D-branes on the SU(N) group manifold
• T-duality, and the K-theoretic partition function of type IIA superstring theory

Related

• Twisted conjugacy classes, coadjoint orbits of loop groups and D-branes in the WZW-model
• Uncovering the Symmetries on [p,q] 7-branes: Beyond the Kodaira Classification
• D-branes and twisted K-theory
• Twisted K-theory and loop group representations
• D-geometric Structure of Orbifolds