Abstract
Level-rank duality of untwisted and twisted D-branes of WZW models is explored. We derive the relation between D0-brane charges of level-rank dual untwisted D-branes of su ˆ ( N ) K and sp ˆ ( n ) k , and of level-rank dual twisted D-branes of su ˆ ( 2 n + 1 ) 2 k + 1 . The analysis of level-rank duality of twisted D-branes of su ˆ ( 2 n + 1 ) 2 k + 1 is facilitated by their close relation to untwisted D-branes of sp ˆ ( n ) k . We also demonstrate level-rank duality of the spectrum of an open string stretched between untwisted or twisted D-branes in each of these cases.
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