Twisted D-branes of the SU(N)_K WZW model and level-rank duality

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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24 pages. v2: reference added

Scientific paper

10.1016/j.nuclphysb.2006.08.005

We analyze the level-rank duality of omega_c-twisted D-branes of SU(N)_K
(when N and K>2). When N or K is even, the duality map involves Z_2-cominimal
equivalence classes of twisted D-branes. We prove the duality of the spectrum
of an open string stretched between omega_c-twisted D-branes, and ascertain the
relation between the charges of level-rank-dual omega_c-twisted D-branes.

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