178 citations · 1k across the 56 of their papers we have counts for
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Reconstruction of vertex algebras in even higher dimensions
Bojko N. Bakalov, Nikolay M. Nikolov
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 vert…
W_{N+1}-constraints for singularities of type A_N
Bojko Bakalov, Todor MIlanov
Using Picard--Lefschetz periods for the singularity of type , we construct a projective representation of the Lie algebra of differential operators on the circle with central…
Non-linear Lie conformal algebras with three generators
Bojko Bakalov, Alberto De Sole
We classify certain non-linear Lie conformal algebras with three generators, which can be viewed as deformations of the current Lie conformal algebra of sl_2. In doing so we discov…
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…