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Conformal boundary states for free bosons and fermions

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arxiv hep-th/0108238 v1 pith:OHFIMFTI submitted 2001-08-31 hep-th

classification hep-th
keywords boundarystatesconformalbranesconventionalfamilyfreeboson
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A family of conformal boundary states for a free boson on a circle is constructed. The family contains superpositions of conventional U(1)-preserving Neumann and Dirichlet branes, but for general parameter values the boundary states are fundamental and preserve only the conformal symmetry. The relative overlaps satisfy Cardy's condition, and each boundary state obeys the factorisation constraint. It is also argued that, together with the conventional Neumann and Dirichlet branes, these boundary states already account for all fundamental conformal D-branes of the free boson theory. The results can be generalised to the situation with N=1 world-sheet supersymmetry, for which the family of boundary states interpolates between superpositions of non-BPS branes and combinations of conventional brane anti-brane pairs.

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Cited by 4 Pith papers

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

  1. Non-Invertible Symmetries and Boundaries for Two-Dimensional Fermions

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    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.

  4. Space of conformal boundary conditions from the view of higher Berry phase: Flow of Berry curvature in parametrized BCFTs

    hep-th 2025-07 conditional novelty 6.0 of 10

    In a Dirac fermion BCFT with SU(2) conformal boundary conditions parametrized by a three-sphere, the filled Fermi sea carries a higher Berry curvature whose integral is quantized, realizing Berry curvature flow and Ch...

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