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Defects and Bulk Perturbations of Boundary Landau-Ginzburg Orbifolds

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arxiv 0712.0188 v2 pith:EQ7LGN6O submitted 2007-12-02 hep-th

classification hep-th
keywords perturbationsboundarybulkconditionsdefectsflowstheoriesadded
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We propose defect lines as a useful tool to study bulk perturbations of conformal field theories, in particular to analyse the induced renormalisation group flows of boundary conditions. As a concrete example we investigate bulk perturbations of N=2 supersymmetric minimal models. To these perturbations we associate a special class of defects between the respective UV and IR theories, whose fusion with boundary conditions indeed reproduces the behaviour of the latter under the corresponding RG flows. v2: Some explanations added in section 4, minor changes.

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Cited by 11 Pith papers

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

  1. $\mathcal{N}=2$ RG flows, Non-Invertible Symmetries and Matrix Factorisations

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    Non-invertible so(3)_k defect lines that commute with the massless perturbation of N=2 minimal models are killed at second order by a supersymmetry anomaly, while the Chebyshev massive deformation preserves them to al...

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    A holographic computation of the defect entanglement entropy for superconformal RG interfaces between N=4 SYM and the Leigh-Strassler SCFT, finding a mass-squared scaling at large deformation and a relation between C^...

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    A cutoff-truncation of the identity defect yields lift and transition defects for higher-rank abelian GLSMs, matching band restriction rules and minimal model flow defects.

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    The unbroken fusion ring symmetry FR(SU(2)_{p-2}) stabilizes the massless RG flow M(p,p+1)->M(p-1,p) by making every invariant IR primary field irrelevant.

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