Twisted WZW Branes from Twisted REA's
Jacek Pawelczyk, Harold Steinacker, Rafal R. Suszek
TL;DR
This paper develops a quantum geometric framework for twisted WZW branes using twisted Reflection Equation Algebras, providing a classification method and a semiclassical formula for brane positions consistent with string theory.
Contribution
It introduces a novel approach to quantum geometry of twisted WZW branes via twisted REA's, linking algebraic representation theory to brane classification and localization.
Findings
Representation theory of twisted REA's classifies branes
Derived semiclassical formula matches string theory results
Provides a consistent quantum geometric description of twisted WZW branes
Abstract
Quantum geometry of twisted Wess--Zumino--Witten branes is formulated in the framework of twisted Reflection Equation Algebras. It is demonstrated how the representation theory of these algebras leads to the correct classification and localisation of branes. A semiclassical formula for quantised brane positions is derived and shown to be consistent with earlier string-theoretic analyses.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.