2023 article
Reconstruction of Vertex Algebras in Even Higher Dimensions
Bakalov, B. N., & Nikolov, N. M. (2023, November 2). ANNALES HENRI POINCARE.
author keywords: Primary 17B69; Secondary 81R10; 81T40
open access via arxiv.org (repository)
Source: Web Of Science
Added: November 20, 2023
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.