Abstract
We consider the decomposition of the conformal blocks under the conformal embeddings. The case\(\widehat{gl}\left( {lr} \right)_1 \supset \widehat{sl}\left( l \right)_r \times \widehat{sl}\left( r \right)_l \times \hat a\) (â is an affine extension of the abelian subalgebra of the central elements ofgl(lr)) is studied in detal. The reciprocal decompositions of\(\widehat{gl}\left( {lr} \right)_1 \)-modules induce a pairing between the spaces of conformal blocks of\(\widehat{sl}\left( l \right)_r \) and\(\widehat{sl}\left( r \right)_l \) Wess-Zumino-Witten models on the Riemann sphere. The completeness of the pairing is shown. Hence it defines aduality between two spaces.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
