Constraining boundary conditions in nonrational CFTs
Year: 2026
Type: article
Abstract: We revisit the question of conformal boundary conditions in the compact free boson CFT in two dimensions. Besides the well-known Neumann and Dirichlet cases, there is an additional proposed one-parameter family of boundary states when the radius is an irrational multiple of the self-dual radius. These additional states have a continuous open string spectrum, and we give an explicit formula for the density of states. We also discuss several pathologies of these states, including the possible violation of the cluster condition, and that they have a divergent g function.
DOI: 10.1103/44rr-dz2y
Authors: Yucong Cai, Daniel Robbins, Hassaan Saleem
Institution: University at Albany, State University of New York
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W4417226596
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