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arXiv · 2209.02421

Reconstruction of vertex algebras in even higher dimensions

Bojko N. Bakalov·Nikolay M. Nikolov
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Abstract

Vertex algebras in higher dimensions correspond to models of quantum field theory with global conformal invariance. Any vertex algebra in dimension D admits a restriction to a vertex algebra in any lower dimension and, in particular, to dimension one. In the case when D is even, we find natural conditions under which the converse passage is possible. These conditions include a unitary action of the conformal Lie algebra with a positive energy, which is given by local endomorphisms and obeys certain integrability properties.

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BibTeXRIS

Bojko N. Bakalov, Nikolay M. Nikolov. 2022-09-06. Reconstruction of vertex algebras in even higher dimensions. https://doi.org/10.1007/s00023-023-01384-0

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