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arxiv: 0707.2511 · v2 · submitted 2007-07-17 · ✦ hep-th

Symmetries of perturbed conformal field theories

Stefan Fredenhagen , Matthias R. Gaberdiel , Christoph A. Keller This is my paper
classification ✦ hep-th
keywords bulkfieldbranesconformald-branesmodelsmuchperturbed
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The symmetries of perturbed conformal field theories are analysed. We explain which generators of the chiral algebras of a bulk theory survive a perturbation by an exactly marginal bulk field. We also study the behaviour of D-branes under current-current bulk deformations. We find that the branes always continue to preserve as much symmetry as they possibly can, i.e. as much as is preserved in the bulk. We illustrate these findings with several examples, including permutation branes in WZW models and B-type D-branes in Gepner models.

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  1. $J\bar{J}$-deformation as a Riemann bilinear dressing

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    Reformulates J bar J deformation in CFTs as a Riemann bilinear dressing that converts perturbation theory into operator dressings and modular-invariant kernel integrals on Riemann surfaces.