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

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.

arXiv comment33 pages (v2: minor typos corrected.)

References in corpus (6)

• D-branes in the WZW model
• D-Brane Instantons and K-Theory Charges
• Open Strings and D-branes in WZNW model
• D-branes in group manifolds
• Conformal field theory: a case study
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Cited by in corpus (15)

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• Gauge theories from principally extended disconnected gauge groups
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• Discrete gauge theories of charge conjugation
• T-Duality, and the K-Theoretic Partition Function of TypeIIA Superstring Theory
• Maximally symmetric D-branes in gauged WZW models
• Twisted conjugacy classes, coadjoint orbits of loop groups and D-branes in the WZW-model
• Differential Twisted K-theory and Applications
• Level-rank duality of D-branes on the SU(N) group manifold
• Level-rank duality of untwisted and twisted D-branes
• Twisted D-branes of the SU(N)_K WZW model and level-rank duality
• Inner brane: A D3-brane in the Nappi-Witten model from an inner group automorphism
• Twisted WZW Branes from Twisted REA's
• Level-rank duality of untwisted and twisted D-branes of the so(N)_K WZW model
• Integrable branes in generalized $\lambda$-deformations