67 citations · 528 across the 47 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…
Operadic construction of the renormalization group
Jean-Louis Loday, Nikolay M. Nikolov
First, we give a functorial construction of a group associated to a symmetric operad. Applied to the endomorphism operad it gives the group of formal diffeomorphisms. Second, we as…
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…
Lectures on Elliptic Functions and Modular Forms in Conformal Field Theory
Nikolay M. Nikolov, Ivan T. Todorov
A concise review of the notions of elliptic functions, modular forms, and theta-functions is provided, devoting most of the paper to applications to Conformal Field Theory (CFT), i…
Conformal invariance and rationality in an even dimensional quantum field theory
Nikolay M. Nikolov, Ivan T. Todorov
Invariance under finite conformal transformations in Minkowski space and the Wightman axioms imply strong locality (Huygens principle) and rationality of correlation functions, thu…