D-branes in Toroidal Orbifolds and Mirror Symmetry

Details D-branes in Toroidal Orbifolds and Mirror Symmetry D-branes in Toroidal Orbifolds and Mirror Symmetry

2005-12-05

arxiv.org/abs/hep-th/0512051v1

JHEP0604:035,2006

Physics

High Energy Physics

High Energy Physics - Theory

30 pages, 2 figures

Scientific paper

10.1088/1126-6708/2006/04/035

We study D-branes extended in T^2/Z_4 using the mirror description as a tensor product of minimal models. We describe branes in the mirror both as boundary states in minimal models and as matrix factorizations in the corresponding Landau-Ginzburg model. We isolate a minimal set of branes and give a geometric interpretation of these as D1-branes constrained to the orbifold fixed points. This picture is supported both by spacetime arguments and by the explicit construction of the boundary states, adapting the known results for rational boundary states in the minimal models. Similar techniques apply to a larger class of toroidal orbifolds.

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