<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>D</mml:mi></mml:math>-branes in the WZW model

Abstract

It is stated in the literature that $D$-branes in the Wess-Zumino-Witten (WZW) model associated with the gluing condition $J=\ensuremath{-}\overline{J}$ along the boundary correspond to branes filling out the whole group volume. We show instead that the end points of open strings are rather bound to stay on ``integer'' conjugacy classes. In the case of the $\mathrm{SU}(2)$ level $k$ WZW model we obtain $k\ensuremath{-}1$ two-dimensional Euclidean $D$-branes and two $D$ particles sitting at the points $e$ and $\ensuremath{-}e.$

Locations

• Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields - View
• arXiv (Cornell University) - View - PDF
• DataCite API - View