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 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.
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Acknowledgements
Dražen Adamović and Ozren Perše are partially supported by the Croatian Science Foundation under the project 2634 and by the QuantiXLie Centre of Excellence, a project cofinanced by the Croatian Government and European Union through the European Regional Development Fund–the Competitiveness and Cohesion Operational Programme (KK.01.1.1.01.0004).
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Adamović, D., Kac, V.G., Möseneder Frajria, P., Papi, P., Perše, O. (2019). Kostant Pairs of Lie Type and Conformal Embeddings. In: Adamović, D., Papi, P. (eds) Affine, Vertex and W-algebras. Springer INdAM Series, vol 37. Springer, Cham. https://doi.org/10.1007/978-3-030-32906-8_1
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DOI: https://doi.org/10.1007/978-3-030-32906-8_1
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