263 citations · 301 across the 4 of their papers we have counts for
4 papers
Non-commutative World-volume Geometries: Branes on SU(2) and Fuzzy Spheres
A. Yu. Alekseev, A. Recknagel, V. Schomerus
The geometry of D-branes can be probed by open string scattering. If the background carries a non-vanishing B-field, the world-volume becomes non-commutative. Here we explore the q…
Generalization of the Knizhnik-Zamolodchikov-Equations
Anton Yu. Alekseev, Andreas Recknagel, Volker Schomerus
In this letter we introduce a generalization of the Knizhnik- Zamolodchikov equations from affine Lie algebras to a wide class of conformal field theories (not necessarily rational…
Representation Theory of Lattice Current Algebras
A. Yu. Alekseev, L. D. Faddeev, J. Fröhlich +1
Lattice current algebras were introduced as a regularization of the left- and right moving degrees of freedom in the WZNW model. They provide examples of lattice theories with a lo…
Representation Theory of Chern Simons Observables
A. Yu. Alekseev, V. Schomerus
Recently we suggested a new quantum algebra, the moduli algebra, which was conjectured to be a quantum algebra of observables of the Hamiltonian Chern Simons theory. This algebra p…