Exceptional boundary states at c=1

Details Exceptional boundary states at c=1 Exceptional boundary states at c=1

2001-09-04

arxiv.org/abs/hep-th/0109021v2

Nucl.Phys.B618:675-688,2001

Physics

High Energy Physics

High Energy Physics - Theory

18 pages; v2 corrected assumptions (now weaker), results unchanged

Scientific paper

10.1016/S0550-3213(01)00486-2

We consider the CFT of a free boson compactified on a circle, such that the compactification radius $R$ is an irrational multiple of $R_{selfdual}$. Apart from the standard Dirichlet and Neumann boundary states, Friedan suggested [1] that an additional 1-parameter family of boundary states exists. These states break U(1) symmetry of the theory, but still preserve conformal invariance. In this paper we give an explicit construction of these states, show that they are uniquely determined by the Cardy-Lewellen sewing constraints, and we study the spectrum in the `open string channel', which is given here by a continous integral with a nonnegative measure on the space of conformal weights.

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