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7 papers · 1 filter
Maximally symmetric D-branes in gauged WZW models
Takahiro Kubota, Jorgen Rasmussen, Mark A. Walton +1
Gluing conditions are proposed to characterize the D-branes in gauged WZW models. From them the boundary conditions for the group-valued and the subgroup-valued fields are determin…
Purely affine elementary su(N) fusions
Jorgen Rasmussen, Mark A. Walton
We consider three-point couplings in simple Lie algebras -- singlets in triple tensor products of their integrable highest weight representations. A coupling can be expressed as a…
A non-reductive N=4 superconformal algebra
Jorgen Rasmussen
A new N=4 superconformal algebra (SCA) is presented. Its internal affine Lie algebra is based on the seven-dimensional Lie algebra su(2)\oplus g, where g should be identified with…
Affine su(3) and su(4) fusion multiplicities as polytope volumes
Jorgen Rasmussen, Mark A. Walton
Affine su(3) and su(4) fusion multiplicities are characterised as discretised volumes of certain convex polytopes. The volumes are measured explicitly, resulting in multiple sum fo…
On the level-dependence of Wess-Zumino-Witten three-point functions
Jørgen Rasmussen, Mark A. Walton
Three-point functions of Wess-Zumino-Witten models are investigated. In particular, we study the level-dependence of three-point functions in the models based on algebras a…
Fusion multiplicities as polytope volumes: N-point and higher-genus su(2) fusion
Jorgen Rasmussen, Mark A. Walton
We present the first polytope volume formulas for the multiplicities of affine fusion, the fusion in Wess-Zumino-Witten conformal field theories, for example. Thus, we characterise…