Twisted D-branes of the SU(N)_K WZW model and level-rank duality
Stephen G. Naculich, Howard J. Schnitzer
TL;DR
This paper investigates the level-rank duality of omega_c-twisted D-branes in SU(N)_K WZW models, establishing duality mappings, spectrum equivalences, and charge relations for cases where N or K is even.
Contribution
It provides a rigorous proof of the spectrum duality and charge relations for omega_c-twisted D-branes, including the case of even N or K, advancing understanding of level-rank duality in WZW models.
Findings
Proved the duality of open string spectra between dual D-branes.
Established the relation between charges of dual omega_c-twisted D-branes.
Analyzed the role of Z_2-cominimal equivalence classes in duality mappings.
Abstract
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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