A Note on c=1 Virasoro Boundary States and Asymmetric Shift Orbifolds
Abstract
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.
Cite
@article{arxiv.hep-th/0201254,
title = {A Note on c=1 Virasoro Boundary States and Asymmetric Shift Orbifolds},
author = {Li-Sheng Tseng},
journal= {arXiv preprint arXiv:hep-th/0201254},
year = {2010}
}
Comments
21 pages, harvmac; v2: minor clarification in section 3.4; v3: a discussion on cocycles added in section 2, and low energy limit mistake removed and clarifications added in section 4.2