53 citations · 108 across the 13 of their papers we have counts for
4 papers · 1 filter
Coxeter Elements and Root Bases
Alexander Kirillov, Jaimal Thind
Let g be a Lie algebra of type A,D,E with fixed Cartan subalgebra h, root system R and Weyl group W. We show that a choice of Coxeter element C gives a root basis for g. Moreover w…
Instability of fermions with respect to topology fluctuations
A. A. Kirillov, E. P. Savelova
We extend our sum over topologies formula to fermions. We show that fermionic fields display an instability with respect to topology fluctuations. We present some phenomenological…
On --modular functor
Alexander Kirillov, Tanvir Prince
In this paper, we extend the notion of modular functor and fusion category to what we called equivariant modular functor and equivariant fusion category, where is a fin…
Spacetime foam
A. A. Kirillov, E. P. Savelova
Spacetime foam is analyzed within the simplistic model of a set of scalar fields on a flat background. We suggest the formula for the path integral which allows to account for the…