Aspects of the q-deformed fuzzy sphere

Autor(en)

Harold Steinacker

Abstrakt

These notes are a short review of the q-deformed fuzzy sphere Sq,N2, which is a "finite" noncommutative two-sphere covariant under the quantum group Uq(su(2)). We discuss its real structure, differential calculus and integration for both real q and q a phase, and show how actions for Yang-Mills and Chern-Simons-like gauge theories arise naturally. It is related to D-branes on the SU(2)k WZW model for q = exp(ip/k+2).

Organisation(en)

Mathematische Physik, Teilchenphysik

Seiten

361-365

Anzahl der Seiten

5

DOI

https://doi.org/10.1142/S0217732301003462

Publikationsdatum

2001

ÖFOS 2012

103036 Theoretische Physik

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/aspects-of-the-qdeformed-fuzzy-sphere(db4e2597-d3a6-48c0-ac5b-70a78ef51db0).html