Original scientific paper

https://doi.org/10.3336/gm.55.1.06

On the faithfulness of 1-dimensional topological quantum field theories

Sonja Telebaković Onić ; Faculty of Mathematics, Studentski trg 16, 11 000 Belgrade, Serbia

Abstract

This paper explores 1-dimensional topological quantum field theories. We separately deal with strict and strong 1-dimensional topological quantum field theories. The strict one is regarded as a symmetric monoidal functor between the category of 1-cobordisms and the category of matrices, and the strong one is a symmetric monoidal functor between the category of 1-cobordisms and the category of finite dimensional vector spaces. It has been proved that both strict and strong 1-dimensional topological quantum field theories are faithful.

Keywords

Symmetric monoidal category; oriented manifold; cobordism; topological quantum field theory; Brauerian representation; Kronecker product; commutation matrix

Hrčak ID:

239047

URI

https://hrcak.srce.hr/239047

Publication date:

12.6.2020.

Visits: 1.097 *