Charges of Exceptionally Twisted Branes

Abstract

The charges of the exceptionally twisted (D4 with triality and E6 with charge conjugation) D-branes of WZW models are determined from the microscopic/CFT point of view. The branes are labeled by twisted representations of the affine algebra, and their charge is determined to be the ground state multiplicity of the twisted representation. It is explicitly shown using Lie theory that the charge groups of these twisted branes are the same as those of the untwisted ones, confirming the macroscopic K-theoretic calculation. A key ingredient in our proof is that, surprisingly, the G2 and F4 Weyl dimensions see the simple currents of A2 and D4, respectively.

19 pages, 2 figures, LaTex2e, complete proofs of all statements, updated bibliography

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• D-branes in the WZW model
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• Boundary states for WZW models
• RR charges of D2-branes in the WZW model
• Non-commutative gauge theory of twisted D-branes
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Cited by in corpus (10)

• Exceptional Lie Algebra $E_{7(-25)}$ (Multiplets and Invariant Differential Operators)
• Charges of twisted branes: the exceptional cases
• Twisted brane charges for non-simply connected groups
• Level-rank duality of untwisted and twisted D-branes
• Symmetries on the real form ${\mathfrak{e}}_{6,-26}$
• Modular Invariants and Twisted Equivariant K-theory II: Dynkin diagram symmetries
• Gradings on the real form ${\mathfrak{e}}_{6,-14}$
• Twisted D-branes of the SU(N)_K WZW model and level-rank duality
• Level-rank duality of untwisted and twisted D-branes of the so(N)_K WZW model
• Classification of Invariant Differential Operators for Non-Compact Lie Algebras via Parabolic Relations