Level-rank duality of D-branes on the SU(N) group manifold

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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15 pages. v2 and v3: references added. v4: proof clarified and minor typos fixed

Scientific paper

10.1016/j.nuclphysb.2006.01.041

The consequences of level-rank duality for untwisted D-branes on an SU(N)
group manifold are explored. Relations are found between the charges of
D-branes (which are classified by twisted K-theory) belonging to su(N)_K and
su(K)_N WZW theories, in the case of odd N+K. An isomorphism between the charge
algebras is also demonstrated in this case.

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