Bulk flows in Virasoro minimal models with boundaries

2009/07/31 by Stefan Fredenhagen, Matthias R. Gaberdiel, Cornelius Schmidt-Colinet · 2 citations
Physics and Astronomy · #hep-th

paper · pdf · doi:10.1088/1751-8113/42/49/495403

published as J.Phys.A42:495403,2009 · 34 pages, 6 figures. v4: Typo in fig. 2 corrected

arxiv created 2009/10/26 · arxiv updated 2014/11/20

Abstract

The behaviour of boundary conditions under relevant bulk perturbations is studied for the Virasoro minimal models. In particular, we consider the bulk deformation by the least relevant bulk field which interpolates between the mth and (m-1)st unitary minimal model. In the presence of a boundary this bulk flow induces an RG flow on the boundary, which ensures that the resulting boundary condition is conformal in the (m-1)st model. By combining perturbative RG techniques with insights from defects and results about non-perturbative boundary flows, we determine the endpoint of the flow, i.e. the boundary condition to which an arbitrary boundary condition of the mth theory flows to.

Cited by

• N=2 RG flows, Non-Invertible Symmetries and Matrix Factorisations
• Non-local charges from perturbed defects via SymTFT in 2d CFT

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