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Symmetry breaking boundaries I. General theory |
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| Affiliation: | 1. NatureScot, Silvan House, 231 Corstorphine Road, Edinburgh EH12 7AT, Scotland, United Kingdom;2. Northern Ireland Environment Agency, Klondyke Building, Gasworks Business Park, Lower Ormeau Road, Belfast BT7 2JA, Northern Ireland, United Kingdom;3. Natural Resources Wales, Chester Road, Buckley, Flintshire CH7 3AJ, Wales, United Kingdom;4. Natural England Mail Hub, Natural England, County Hall, Spetchley Road, Worcester WR5 2NP, England, United Kingdom |
| Abstract: | We study conformally invariant boundary conditions that break part of the bulk symmetries. A general theory is developed for those boundary conditions for which the preserved subalgebra is the fixed algebra under an abelian orbifold group. We explicitly construct the boundary states and reflection coefficients as well as the annulus amplitudes. Integrality of the annulus coefficients is proven in full generality. |
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