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The conformal boundary states for SU(2) at level 1

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arxiv hep-th/0108102 v1 pith:N6UR2GUY submitted 2001-08-14 hep-th

M.R. Gaberdiel , A. Recknagel , G.M.T. Watts (King's College London) This is my paper · ORCID
classification hep-th
keywords boundarystatesconformallevelanalysedassumptioncardycase
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For the case of the SU(2) WZW model at level one, the boundary states that only preserve the conformal symmetry are analysed. Under the assumption that the usual Cardy boundary states as well as their marginal deformations are consistent, the most general conformal boundary states are determined. They are found to be parametrised by group elements in SL(2,C).

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Cited by 5 Pith papers

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    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.

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  4. 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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    At self-dual radius, ZZ instanton normalizations from worldsheet string theory match the matrix model trans-series, with SU(2) boundary condition zero modes playing the key role.

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