Triangle Seminars
Wednesday, 28 Jul 2004
WZW Patterns in Reflection Algebras
📍 London
Rafal R. Suszek
(King's College London and Warsaw University)
Abstract:
The talk shall present chosen aspects of a compact
quantum-algebraic description of D-brane geometry in WZW models, extending
beyond the semiclassical approximation of the original fuzzy matrix
models.
It shall be argued that a class of unital algebras - the so-called
Reflection Algebras intimately related to Drinfeld–Jimbo algebras -
captures certain essential features of stringy geometries, both untwisted
and twisted, in compact WZW models and their (simple current) orbifolds,
while giving rise to some well-known, and some less so, noncommutative
geometries (e.g. Podles sphere, quantum projective plane).
The talk shall present chosen aspects of a compact
quantum-algebraic description of D-brane geometry in WZW models, extending
beyond the semiclassical approximation of the original fuzzy matrix
models.
It shall be argued that a class of unital algebras - the so-called
Reflection Algebras intimately related to Drinfeld–Jimbo algebras -
captures certain essential features of stringy geometries, both untwisted
and twisted, in compact WZW models and their (simple current) orbifolds,
while giving rise to some well-known, and some less so, noncommutative
geometries (e.g. Podles sphere, quantum projective plane).
Posted by: KCL