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paper

D-branes in lens spaces

arXiv:hep-th/0303231 · doi:10.1016/j.physletb.2003.06.001

Abstract

We realize the CFT with target a lens space SU(2)/Z_l as a simple current construction. This allows us to compute the boundary states and the annuli coefficients, and in particular to study the B-type branes, in purely algebraic terms. Several issues, like the appearance of fractional branes and symmetry breaking boundary conditions, can be addressed more directly in this approach than in a more geometric treatment.

13 pages