Braided Quantum Field Theory

Braided Clifford Algebras as Braided Quantum Groups

The paper deals with braided Clifford algebras, understood as Chevalley-Kähler deformations of braided exterior algebras. It is shown that Clifford algebras based on involutive braids can be naturally endowed with a braided quantum group structure. Basic group entities are constructed explicitly.

Braided Structure in 4 - dimensional conformal Quantum Field

Higher dimensional conformal QFT possesses an interesting braided structure which, different from the d=1+1 models, is restricted to the timelike region and therefore easily escapes euclidean action methods. It lies behind the spectrum of anomalous dimensions which may be viewed as a kind of substitute for a missing particle interpretation in the presence

Algebra in Braided Tensor Categories and Conformal Field Theory

Some Remarks on Quantum and Braided Group Gauge Theory

We clarify some aspects of quantum group gauge theory and its recent generalisations (by T. Brzezinski and the author) to braided group gauge theory and coalgebra gauge theory. We outline the diagrammatic version of the braided case. We study the bosonisation of any braided group provides as a trivial principal bundle in three ways.

Quantum and Braided Integrals

We give a pedagogical introduction to integration techniques appropriate for non-commutative spaces while presenting some new results as well. A rather detailed discussion outlines the motivation for adopting the Hopf algebra language. We then present some trace formulas for the integral on Hopf algebras and show how to treat the ∫ 1 = 0 case. We extend the discussion to braided Hopf algebras r...