Level-rank duality of untwisted and twisted D-branes
Stephen G. Naculich, Howard J. Schnitzer
TL;DR
This paper investigates the level-rank duality in WZW models, establishing relations between D-brane charges and spectra for untwisted and twisted D-branes across different Lie algebra cases.
Contribution
It derives explicit relations for D0-brane charges and demonstrates spectrum duality for open strings in level-rank dual WZW models, including twisted cases.
Findings
D0-brane charge relations between dual models
Spectrum duality of open strings between dual D-branes
Connection between twisted and untwisted D-branes in dual models
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(N)_K and sp(n)_k, and of level-rank dual twisted D-branes of su(2n+1)_2k+1. The analysis of level-rank duality of twisted D-branes of su(2n+1)_2k+1 is facilitated by their close relation to untwisted D-branes of sp(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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