We deal with some aspects of the theory of conformal embeddings of affine vertex algebras, providing a new proof of the Symmetric Space Theorem and a criterion for conformal embeddings of equal rank subalgebras. We finally study some examples of embeddings at the critical level. We prove a criterion for embeddings at the critical level which enables us to prove equality of certain central elements.
Kostant Pairs of Lie Type and Conformal Embeddings / Adamovic, Drazen; Kac, Victor; Moseneder Frajria, Pierluigi; Papi, Paolo; Perse, Ozren. - (2019), pp. 1-22. [10.1007/978-3-030-32906-8_1].
Kostant Pairs of Lie Type and Conformal Embeddings
Paolo Papi
;
2019
Abstract
We deal with some aspects of the theory of conformal embeddings of affine vertex algebras, providing a new proof of the Symmetric Space Theorem and a criterion for conformal embeddings of equal rank subalgebras. We finally study some examples of embeddings at the critical level. We prove a criterion for embeddings at the critical level which enables us to prove equality of certain central elements.File | Dimensione | Formato | |
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