Electronic Resource
Springer
Communications in mathematical physics
144 (1992), S. 351-372
ISSN:
1432-0916
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
,
Physics
Notes:
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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF02101097
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