A Note on c=1 Virasoro Boundary States and Asymmetric Shift Orbifolds

Details A Note on c=1 Virasoro Boundary States and Asymmetric Shift Orbifolds A Note on c=1 Virasoro Boundary States and Asymmetric Shift Orbifolds

2002-01-30

arxiv.org/abs/hep-th/0201254v3

JHEP 0204:051,2002

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, harvmac; v2: minor clarification in section 3.4; v3: a discussion on cocycles added in section 2, and low energy lim

Scientific paper

10.1088/1126-6708/2002/04/051

We comment on the conformal boundary states of the c=1 free boson theory on a circle which do not preserve the U(1) symmetry. We construct these Virasoro boundary states at a generic radius by a simple asymmetric shift orbifold acting on the fundamental boundary states at the self-dual radius. We further calculate the boundary entropy and find that the Virasoro boundary states at irrational radius have infinite boundary entropy. The corresponding open string description of the asymmetric orbifold is given using the quotient algebra construction. Moreover, we find that the quotient algebra associated with a non-fundamental boundary state contains the noncommutative Weyl algebra.

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