40 citations · 102 across the 6 of their papers we have counts for
7 papers
Partial wave expansion and Wightman positivity in conformal field theory
N. M. Nikolov, K. -H. Rehren, I. T. Todorov
A new method for computing exact conformal partial wave expansions is developed and applied to approach the problem of Hilbert space (Wightman) positivity in a non-perturbative fou…
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…
Subgroup growth of lattices in semisimple Lie groups
A. Lubotzky, N. Nikolov
We give very precise bounds for the congruence subgroup growth of arithmetic groups. This allows us to determine the subgroup growth of irreducible lattices of semisimple Lie group…
Vertex Algebras in Higher Dimensions and Globally Conformal Invariant Quantum Field Theory
Nikolay M. Nikolov
We propose an extension of the definition of vertex algebras in arbitrary space-time dimensions together with their basic structure theory. An one-to-one correspondence between the…
Globally conformal invariant gauge field theory with rational correlation functions
Nikolay M. Nikolov, Yassen S. Stanev, Ivan T. Todorov
Operator product expansions (OPE) for the product of a scalar field with its conjugate are presented as infinite sums of bilocal fields V_k (x_1, x_2) of dimension (k,k). For a {\i…
Global Conformal Invariance and Bilocal Fields with Rational Correlation Functions
Nikolay M. Nikolov, Yassen S. Stanev, Ivan T. Todorov
The singular part of the \textit{operator product expansion} (OPE) of a pair of \textit{globally conformal invariant} (GCI) scalar fields of (integer) dimension can be writ…