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Vertex (Lie) algebras in higher dimensions
Bojko Bakalov
Vertex algebras provide an axiomatic algebraic description of the operator product expansion (OPE) of chiral fields in 2-dimensional conformal field theory. Vertex Lie algebras (=…
Unitary Positive-Energy Representations of Scalar Bilocal Quantum Fields
Bojko Bakalov, Nikolay Nikolov, Karl-Henning Rehren +1
The superselection sectors of two classes of scalar bilocal quantum fields in D>=4 dimensions are explicitly determined by working out the constraints imposed by unitarity. The res…
Jacobi Identity for Vertex Algebras in Higher Dimensions
Bojko Bakalov, Nikolay M. Nikolov
Vertex algebras in higher dimensions provide an algebraic framework for investigating axiomatic quantum field theory with global conformal invariance. We develop further the theory…
Generalized Vertex Algebras
Bojko Bakalov, Victor G. Kac
We give a short introduction to generalized vertex algebras, using the notion of polylocal fields. We construct a generalized vertex algebra associated to a vector space h with a s…