Finite level geometry of fractional branes

Details Finite level geometry of fractional branes Finite level geometry of fractional branes

2006-05-04

arxiv.org/abs/hep-th/0605056v2

Phys.Lett.B639:560-565,2006

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, accepted for publication in PLB

Scientific paper

10.1016/j.physletb.2006.06.069

In some CFT models of simple current type, which are used to describe string theory on orbifolds and (adjoint) cosets of Lie groups, there arise fixed points of the simple current group. In these cases, the standard procedure to associate functions to Ishibashi states by averaging out the action of the simple current group, gives functions with unsatisfactory properties. In some cases the averaged Ishibashi function simply vanishes, which we see explicitly in SO(3) at level k=4l+2. In this note, an alternative function assignment is suggested, and it is shown that in some cases the resulting Ishibashi functions are orthogonal.

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