4 papers
Derivatives and the Role of the Drinfel'd Twist in Noncommutative String Theory
Paul Watts
We consider the derivatives which appear in the context of noncommutative string theory. First, we identify the correct derivations to use when the underlying structure of the theo…
Generalized Wess-Zumino Consistency Conditions for Pure W_3 Gravity Anomalies
Paul Watts
General expressions for the anomalies appearing in pure W_3 gravity are found by requiring that they satisfy a modified version of the Wess-Zumino consistency conditions in which t…
Cartan Calculus on Quantum Lie Algebras
Peter Schupp, Paul Watts, Bruno Zumino
A generalization of the differential geometry of forms and vector fields to the case of quantum Lie algebras is given. In an abstract formulation that incorporates many existing ex…
The Role of the Canonical Element in the Quantized Algebra of Differential Operators $\A\rtimes\U$
Chryssomalis Chryssomalakos, Peter Schupp, Paul Watts
We review the construction of the cross product algebra $\A\rtimes\U$ from two dually paired Hopf algebras $\U$ and $\A$. The canonical element in $\U \otimes \A$ is then introduce…