A geometric approach to D-branes in group manifolds
Sonia Stanciu
TL;DR
This paper reviews recent geometric methods for analyzing symmetric D-branes in group manifolds, focusing on the boundary WZW model and explicitly determining consistent D-branes in SU_3.
Contribution
It introduces a geometric framework for understanding symmetric D-branes in group manifolds and applies it to classify D-branes in SU_3.
Findings
Describes the geometry of gluing conditions for D-branes.
Details the quantisation conditions in the boundary WZW model.
Determines consistent twisted and untwisted D-branes in SU_3.
Abstract
This is a brief review of some recent results on the geometric approach to symmetric D-branes in group manifolds, both twisted and untwisted. We describe the geometry of the gluing conditions and the quantisation condition in the boundary WZW model, and we illustrate this by determining the consistent twisted and untwisted D-branes in the Lie group SU_3.
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