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Exceptional boundary states at c=1

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arxiv hep-th/0109021 v2 pith:B6O5ZJPN submitted 2001-09-04 hep-th cond-mat.stat-mech

classification hep-thcond-mat.stat-mech
keywords statesboundaryconformaladditionalapartbosonbreakcardy-lewellen
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

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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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. The Bootstrap of Points and Lines

    hep-th 2025-06 accept novelty 8.0 of 10

    A mixed-correlator bootstrap for 2D boundary CFTs produces new rigorous bounds on boundary entropy, bulk-to-boundary OPE coefficients, and gap spectra, tested on Ising and free boson and applied to su(2)_2 WZW.

  2. Hypergroup Symmetry in Relative Quantum Field Theories and Chiral Algebras

    hep-th 2026-06 unverdicted novelty 7.0 of 10

    Framework for hypergroup symmetries in relative QFTs establishes one-to-one correspondence between finite symmetries and finite-index conformal embeddings in rational chiral algebras, with implications for gluing left...

  3. Higher Structures on Boundary Conformal Manifolds: Higher Berry Phase and Boundary Conformal Field Theory

    hep-th 2025-07 conditional novelty 7.0 of 10

    A 2-form higher Berry connection on boundary conformal manifolds is defined from boundary-condition-changing operator OPE phases; it reproduces the B-field and WZ term in string theory examples.

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