5 citations · 5 across the 3 of their papers we have counts for
5 papers
On partition functions of refined Chern-Simons theories on
M. Y. Avetisyan, R. L. Mkrtchyan
We present a new expression for the partition function of refined Chern-Simons theory on with arbitrary gauge group, which is explicitly equal to , when the coupling const…
On linear resolvability of universal quantum dimensions
M. Y. Avetisyan, R. L. Mkrtchyan
In his study of finite (Vassiliev's) knot invariants,Vogel introduced the so-called universal parameters, belonging to the projective plane, which particularly parameterize the sim…
Uniqueness of universal dimensions and configurations of points and lines
M. Y. Avetisyan, R. L. Mkrtchyan
The problem of uniqueness of universal formulae for (quantum) dimensions of simple Lie algebras is investigated. We present generic functions, which multiplied by a universal (quan…
On universal quantum dimensions of certain two-parameter series of representations
M. Y. Avetisyan, R. L. Mkrtchyan
We present the universal, in Vogel's sense, expression for the quantum dimension of Cartan product of an arbitrary number of adjoint and representations of simple Lie algebra…
series of universal quantum dimensions
M. Y. Avetisyan, R. L. Mkrtchyan
The antisymmetric square of the adjoint representation of any simple Lie algebra is equal to the sum of adjoint and representations. We present universal formulae for quantum…