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The charges of a twisted brane
Author(s) -
Matthias R. Gaberdiel,
Terry Gan
Publication year - 2004
Publication title -
journal of high energy physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.998
H-Index - 261
eISSN - 1126-6708
pISSN - 1029-8479
DOI - 10.1088/1126-6708/2004/01/018
Subject(s) - charge (physics) , physics , brane cosmology , affine transformation , representation theory , group (periodic table) , pure mathematics , multiplicity (mathematics) , fundamental representation , lie algebra , theoretical physics , mathematics , algebra over a field , quantum mechanics , geometry , weight
The charges of the twisted D-branes of certain WZW models are determined. Thetwisted D-branes are labelled by twisted representations of the affine algebra,and their charge is simply the ground state multiplicity of the twistedrepresentation. It is shown that the resulting charge group is isomorphic tothe charge group of the untwisted branes, as had been anticipated from aK-theory calculation. Our arguments rely on a number of non-trivial Lietheoretic identities.Comment: 27 pages, 1 figure, harvmac (b

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