Finite vs infinite decompositions in conformal embeddings (CROSBI ID 226965)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Adamović, Dražen ; Kac, Victor ; Moseneder Frajria, Pierluigi ; Papi, Paolo ; Perše, Ozren
engleski
Finite vs infinite decompositions in conformal embeddings
Building on work of the first and last author, we prove that an embedding of simple affine vertex algebras Vk(g0)⊂Vk(g), corresponding to an embedding of a maximal equal rank reductive subalgebra g0 into a simple Lie algebra g, is conformal if and only if the corresponding central charges are equal. We classify the equal rank conformal embeddings. Furthermore we describe, in almost all cases, when Vk(g) decomposes finitely as a Vk(g0)-module.
conformal embedding ; vertex algebra ; affine Lie algebra
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Podaci o izdanju
348 (2)
2016.
445-473
objavljeno
0010-3616
1432-0916
10.1007/s00220-016-2672-1