A quantum algebraic description of D-branes on group manifolds

preprint2002arXivOpen access

Abstract

We propose an algebraic description of (untwisted) D-branes on compact group manifolds GG using quantum algebras related to $U_q(\mg)$. It reproduces the known characteristics of stable branes in the WZW models, in particular their configurations in GG, energies as well as the set of harmonics. Both generic and degenerate branes are covered.

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