Finite vs. Infinite Decompositions in Conformal Embeddings

Finite vs. Infinite Decompositions in Conformal Embeddings

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© 2016, Springer-Verlag Berlin Heidelberg. 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 i...

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Main Authors: Adamović, Dražen (Author), Kac, Victor G (Author), Möseneder Frajria, Pierluigi (Author), Papi, Paolo (Author), Perše, Ozren (Author)
Format: Article
Language:English
Published: Springer Nature America, Inc, 2021-10-27T20:05:20Z.
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Online Access:Get fulltext
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100 1 0 |a Adamović, Dražen  |e author 
700 1 0 |a Kac, Victor G  |e author 
700 1 0 |a Möseneder Frajria, Pierluigi  |e author 
700 1 0 |a Papi, Paolo  |e author 
700 1 0 |a Perše, Ozren  |e author 
245 0 0 |a Finite vs. Infinite Decompositions in Conformal Embeddings 
260 |b Springer Nature America, Inc,   |c 2021-10-27T20:05:20Z. 
856 |z Get fulltext  |u https://hdl.handle.net/1721.1/134508 
520 |a © 2016, Springer-Verlag Berlin Heidelberg. 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. 
546 |a en 
655 7 |a Article 
773 |t 10.1007/S00220-016-2672-1 
773 |t Communications in Mathematical Physics 

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